# SLOS Computation DAG

**Nodes:** 192
**Edges:** 96

## Nodes

| ID | Type | Status | Elapsed | Inputs |
|----|------|--------|---------|--------|
| sidon_pow2_k1_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 1} |
| sidon_pow2_k1_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 1, "n_modes": 4, "n_photons":  |
| sidon_pow2_k1_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 1, "n_modes": 4} |
| nonsidon_seq_k1_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 1} |
| nonsidon_seq_k1_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 1, "n_modes": 4, "n_photons":  |
| nonsidon_seq_k1_slos | slos | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 1, "n_modes": 4} |
| sidon_h8_k1_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 1} |
| sidon_h8_k1_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 1, "n_modes": 4, "n_photons":  |
| sidon_h8_k1_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 1, "n_modes": 4} |
| sidon_h16_k1_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 1} |
| sidon_h16_k1_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 1, "n_modes": 5, "n_photo |
| sidon_h16_k1_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 1, "n_modes": 5} |
| sidon_pow7_k1_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 1} |
| sidon_pow7_k1_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 1, "n_modes": 7, " |
| sidon_pow7_k1_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 1, "n_modes": 7} |
| sidon_s6_k1_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 1} |
| sidon_s6_k1_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 1, "n_modes": 6, "n_p |
| sidon_s6_k1_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 1, "n_modes": 6} |
| sidon_s7_k1_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 1} |
| sidon_s7_k1_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 1, "n_modes": 7,  |
| sidon_s7_k1_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 1, "n_modes": 7} |
| nonsidon_dense6_k1_products | eigenvalue_products | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 1} |
| nonsidon_dense6_k1_slos_circuit | slos | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 1, "n_modes": 6, "n_pho |
| nonsidon_dense6_k1_slos | slos | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 1, "n_modes": 6} |
| nonsidon_dense7_k1_products | eigenvalue_products | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 1} |
| nonsidon_dense7_k1_slos_circuit | slos | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 1, "n_modes":  |
| nonsidon_dense7_k1_slos | slos | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 1, "n_modes":  |
| primes_s7_k1_products | eigenvalue_products | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 1} |
| primes_s7_k1_slos_circuit | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 1, "n_modes": 7, " |
| primes_s7_k1_slos | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 1, "n_modes": 7} |
| primes_s8_k1_products | eigenvalue_products | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 1} |
| primes_s8_k1_slos_circuit | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 1, "n_modes":  |
| primes_s8_k1_slos | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 1, "n_modes":  |
| sidon_pow8_k1_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 1} |
| sidon_pow8_k1_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 1, "n_modes": |
| sidon_pow8_k1_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 1, "n_modes": |
| sidon_pow2_k1_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 1} |
| nonsidon_seq_k1_compare | compare | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 1} |
| sidon_h8_k1_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 1} |
| sidon_h16_k1_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 1} |
| sidon_pow7_k1_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 1} |
| sidon_s6_k1_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 1} |
| sidon_s7_k1_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 1} |
| nonsidon_dense6_k1_compare | compare | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 1} |
| nonsidon_dense7_k1_compare | compare | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 1} |
| primes_s7_k1_compare | compare | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 1} |
| primes_s8_k1_compare | compare | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 1} |
| sidon_pow8_k1_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 1} |
| sidon_pow2_k2_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 2} |
| sidon_pow2_k2_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 2, "n_modes": 4, "n_photons":  |
| sidon_pow2_k2_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 2, "n_modes": 4} |
| nonsidon_seq_k2_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 2} |
| nonsidon_seq_k2_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 2, "n_modes": 4, "n_photons":  |
| nonsidon_seq_k2_slos | slos | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 2, "n_modes": 4} |
| sidon_h8_k2_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 2} |
| sidon_h8_k2_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 2, "n_modes": 4, "n_photons":  |
| sidon_h8_k2_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 2, "n_modes": 4} |
| sidon_h16_k2_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 2} |
| sidon_h16_k2_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 2, "n_modes": 5, "n_photo |
| sidon_h16_k2_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 2, "n_modes": 5} |
| sidon_pow7_k2_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 2} |
| sidon_pow7_k2_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 2, "n_modes": 7, " |
| sidon_pow7_k2_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 2, "n_modes": 7} |
| sidon_s6_k2_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 2} |
| sidon_s6_k2_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 2, "n_modes": 6, "n_p |
| sidon_s6_k2_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 2, "n_modes": 6} |
| sidon_s7_k2_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 2} |
| sidon_s7_k2_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 2, "n_modes": 7,  |
| sidon_s7_k2_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 2, "n_modes": 7} |
| nonsidon_dense6_k2_products | eigenvalue_products | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 2} |
| nonsidon_dense6_k2_slos_circuit | slos | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 2, "n_modes": 6, "n_pho |
| nonsidon_dense6_k2_slos | slos | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 2, "n_modes": 6} |
| nonsidon_dense7_k2_products | eigenvalue_products | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 2} |
| nonsidon_dense7_k2_slos_circuit | slos | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 2, "n_modes":  |
| nonsidon_dense7_k2_slos | slos | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 2, "n_modes":  |
| primes_s7_k2_products | eigenvalue_products | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 2} |
| primes_s7_k2_slos_circuit | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 2, "n_modes": 7, " |
| primes_s7_k2_slos | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 2, "n_modes": 7} |
| primes_s8_k2_products | eigenvalue_products | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 2} |
| primes_s8_k2_slos_circuit | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 2, "n_modes":  |
| primes_s8_k2_slos | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 2, "n_modes":  |
| sidon_pow8_k2_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 2} |
| sidon_pow8_k2_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 2, "n_modes": |
| sidon_pow8_k2_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 2, "n_modes": |
| sidon_pow2_k2_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 2} |
| nonsidon_seq_k2_compare | compare | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 2} |
| sidon_h8_k2_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 2} |
| sidon_h16_k2_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 2} |
| sidon_pow7_k2_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 2} |
| sidon_s6_k2_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 2} |
| sidon_s7_k2_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 2} |
| nonsidon_dense6_k2_compare | compare | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 2} |
| nonsidon_dense7_k2_compare | compare | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 2} |
| primes_s7_k2_compare | compare | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 2} |
| primes_s8_k2_compare | compare | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 2} |
| sidon_pow8_k2_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 2} |
| sidon_pow2_k3_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 3} |
| sidon_pow2_k3_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 3, "n_modes": 4, "n_photons":  |
| sidon_pow2_k3_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 3, "n_modes": 4} |
| nonsidon_seq_k3_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 3} |
| nonsidon_seq_k3_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 3, "n_modes": 4, "n_photons":  |
| nonsidon_seq_k3_slos | slos | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 3, "n_modes": 4} |
| sidon_h8_k3_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 3} |
| sidon_h8_k3_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 3, "n_modes": 4, "n_photons":  |
| sidon_h8_k3_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 3, "n_modes": 4} |
| sidon_h16_k3_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 3} |
| sidon_h16_k3_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 3, "n_modes": 5, "n_photo |
| sidon_h16_k3_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 3, "n_modes": 5} |
| sidon_pow7_k3_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 3} |
| sidon_pow7_k3_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 3, "n_modes": 7, " |
| sidon_pow7_k3_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 3, "n_modes": 7} |
| sidon_s6_k3_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 3} |
| sidon_s6_k3_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 3, "n_modes": 6, "n_p |
| sidon_s6_k3_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 3, "n_modes": 6} |
| sidon_s7_k3_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 3} |
| sidon_s7_k3_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 3, "n_modes": 7,  |
| sidon_s7_k3_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 3, "n_modes": 7} |
| nonsidon_dense6_k3_products | eigenvalue_products | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 3} |
| nonsidon_dense6_k3_slos_circuit | slos | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 3, "n_modes": 6, "n_pho |
| nonsidon_dense6_k3_slos | slos | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 3, "n_modes": 6} |
| nonsidon_dense7_k3_products | eigenvalue_products | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 3} |
| nonsidon_dense7_k3_slos_circuit | slos | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 3, "n_modes":  |
| nonsidon_dense7_k3_slos | slos | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 3, "n_modes":  |
| primes_s7_k3_products | eigenvalue_products | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 3} |
| primes_s7_k3_slos_circuit | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 3, "n_modes": 7, " |
| primes_s7_k3_slos | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 3, "n_modes": 7} |
| primes_s8_k3_products | eigenvalue_products | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 3} |
| primes_s8_k3_slos_circuit | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 3, "n_modes":  |
| primes_s8_k3_slos | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 3, "n_modes":  |
| sidon_pow8_k3_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 3} |
| sidon_pow8_k3_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 3, "n_modes": |
| sidon_pow8_k3_slos | slos | success | 0.01s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 3, "n_modes": |
| sidon_pow2_k3_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 3} |
| nonsidon_seq_k3_compare | compare | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 3} |
| sidon_h8_k3_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 3} |
| sidon_h16_k3_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 3} |
| sidon_pow7_k3_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 3} |
| sidon_s6_k3_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 3} |
| sidon_s7_k3_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 3} |
| nonsidon_dense6_k3_compare | compare | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 3} |
| nonsidon_dense7_k3_compare | compare | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 3} |
| primes_s7_k3_compare | compare | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 3} |
| primes_s8_k3_compare | compare | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 3} |
| sidon_pow8_k3_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 3} |
| sidon_pow2_k4_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 4} |
| sidon_pow2_k4_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 4, "n_modes": 4, "n_photons":  |
| sidon_pow2_k4_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 4, "n_modes": 4} |
| nonsidon_seq_k4_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 4} |
| nonsidon_seq_k4_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 4, "n_modes": 4, "n_photons":  |
| nonsidon_seq_k4_slos | slos | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 4, "n_modes": 4} |
| sidon_h8_k4_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 4} |
| sidon_h8_k4_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 4, "n_modes": 4, "n_photons":  |
| sidon_h8_k4_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 4, "n_modes": 4} |
| sidon_h16_k4_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 4} |
| sidon_h16_k4_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 4, "n_modes": 5, "n_photo |
| sidon_h16_k4_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 4, "n_modes": 5} |
| sidon_pow7_k4_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 4} |
| sidon_pow7_k4_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 4, "n_modes": 7, " |
| sidon_pow7_k4_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 4, "n_modes": 7} |
| sidon_s6_k4_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 4} |
| sidon_s6_k4_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 4, "n_modes": 6, "n_p |
| sidon_s6_k4_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 4, "n_modes": 6} |
| sidon_s7_k4_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 4} |
| sidon_s7_k4_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 4, "n_modes": 7,  |
| sidon_s7_k4_slos | slos | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 4, "n_modes": 7} |
| nonsidon_dense6_k4_products | eigenvalue_products | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 4} |
| nonsidon_dense6_k4_slos_circuit | slos | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 4, "n_modes": 6, "n_pho |
| nonsidon_dense6_k4_slos | slos | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 4, "n_modes": 6} |
| nonsidon_dense7_k4_products | eigenvalue_products | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 4} |
| nonsidon_dense7_k4_slos_circuit | slos | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 4, "n_modes":  |
| nonsidon_dense7_k4_slos | slos | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 4, "n_modes":  |
| primes_s7_k4_products | eigenvalue_products | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 4} |
| primes_s7_k4_slos_circuit | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 4, "n_modes": 7, " |
| primes_s7_k4_slos | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 4, "n_modes": 7} |
| primes_s8_k4_products | eigenvalue_products | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 4} |
| primes_s8_k4_slos_circuit | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 4, "n_modes":  |
| primes_s8_k4_slos | slos | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 4, "n_modes":  |
| sidon_pow8_k4_products | eigenvalue_products | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 4} |
| sidon_pow8_k4_slos_circuit | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 4, "n_modes": |
| sidon_pow8_k4_slos | slos | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 4, "n_modes": |
| sidon_pow2_k4_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8], "k": 4} |
| nonsidon_seq_k4_compare | compare | success | 0.0s | {"labels": [1, 2, 3, 4], "k": 4} |
| sidon_h8_k4_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 7], "k": 4} |
| sidon_h16_k4_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 10, 16], "k": 4} |
| sidon_pow7_k4_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 4} |
| sidon_s6_k4_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 11, 16, 19], "k": 4} |
| sidon_s7_k4_compare | compare | success | 0.0s | {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 4} |
| nonsidon_dense6_k4_compare | compare | success | 0.0s | {"labels": [5, 6, 7, 8, 9, 10], "k": 4} |
| nonsidon_dense7_k4_compare | compare | success | 0.0s | {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 4} |
| primes_s7_k4_compare | compare | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 4} |
| primes_s8_k4_compare | compare | success | 0.0s | {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 4} |
| sidon_pow8_k4_compare | compare | success | 0.0s | {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 4} |

## Edges

| From | To | Type |
|------|----|------|
| sidon_pow2_k1_products | sidon_pow2_k1_compare | depends_on |
| sidon_pow2_k1_slos | sidon_pow2_k1_compare | depends_on |
| nonsidon_seq_k1_products | nonsidon_seq_k1_compare | depends_on |
| nonsidon_seq_k1_slos | nonsidon_seq_k1_compare | depends_on |
| sidon_h8_k1_products | sidon_h8_k1_compare | depends_on |
| sidon_h8_k1_slos | sidon_h8_k1_compare | depends_on |
| sidon_h16_k1_products | sidon_h16_k1_compare | depends_on |
| sidon_h16_k1_slos | sidon_h16_k1_compare | depends_on |
| sidon_pow7_k1_products | sidon_pow7_k1_compare | depends_on |
| sidon_pow7_k1_slos | sidon_pow7_k1_compare | depends_on |
| sidon_s6_k1_products | sidon_s6_k1_compare | depends_on |
| sidon_s6_k1_slos | sidon_s6_k1_compare | depends_on |
| sidon_s7_k1_products | sidon_s7_k1_compare | depends_on |
| sidon_s7_k1_slos | sidon_s7_k1_compare | depends_on |
| nonsidon_dense6_k1_products | nonsidon_dense6_k1_compare | depends_on |
| nonsidon_dense6_k1_slos | nonsidon_dense6_k1_compare | depends_on |
| nonsidon_dense7_k1_products | nonsidon_dense7_k1_compare | depends_on |
| nonsidon_dense7_k1_slos | nonsidon_dense7_k1_compare | depends_on |
| primes_s7_k1_products | primes_s7_k1_compare | depends_on |
| primes_s7_k1_slos | primes_s7_k1_compare | depends_on |
| primes_s8_k1_products | primes_s8_k1_compare | depends_on |
| primes_s8_k1_slos | primes_s8_k1_compare | depends_on |
| sidon_pow8_k1_products | sidon_pow8_k1_compare | depends_on |
| sidon_pow8_k1_slos | sidon_pow8_k1_compare | depends_on |
| sidon_pow2_k2_products | sidon_pow2_k2_compare | depends_on |
| sidon_pow2_k2_slos | sidon_pow2_k2_compare | depends_on |
| nonsidon_seq_k2_products | nonsidon_seq_k2_compare | depends_on |
| nonsidon_seq_k2_slos | nonsidon_seq_k2_compare | depends_on |
| sidon_h8_k2_products | sidon_h8_k2_compare | depends_on |
| sidon_h8_k2_slos | sidon_h8_k2_compare | depends_on |
| sidon_h16_k2_products | sidon_h16_k2_compare | depends_on |
| sidon_h16_k2_slos | sidon_h16_k2_compare | depends_on |
| sidon_pow7_k2_products | sidon_pow7_k2_compare | depends_on |
| sidon_pow7_k2_slos | sidon_pow7_k2_compare | depends_on |
| sidon_s6_k2_products | sidon_s6_k2_compare | depends_on |
| sidon_s6_k2_slos | sidon_s6_k2_compare | depends_on |
| sidon_s7_k2_products | sidon_s7_k2_compare | depends_on |
| sidon_s7_k2_slos | sidon_s7_k2_compare | depends_on |
| nonsidon_dense6_k2_products | nonsidon_dense6_k2_compare | depends_on |
| nonsidon_dense6_k2_slos | nonsidon_dense6_k2_compare | depends_on |
| nonsidon_dense7_k2_products | nonsidon_dense7_k2_compare | depends_on |
| nonsidon_dense7_k2_slos | nonsidon_dense7_k2_compare | depends_on |
| primes_s7_k2_products | primes_s7_k2_compare | depends_on |
| primes_s7_k2_slos | primes_s7_k2_compare | depends_on |
| primes_s8_k2_products | primes_s8_k2_compare | depends_on |
| primes_s8_k2_slos | primes_s8_k2_compare | depends_on |
| sidon_pow8_k2_products | sidon_pow8_k2_compare | depends_on |
| sidon_pow8_k2_slos | sidon_pow8_k2_compare | depends_on |
| sidon_pow2_k3_products | sidon_pow2_k3_compare | depends_on |
| sidon_pow2_k3_slos | sidon_pow2_k3_compare | depends_on |
| nonsidon_seq_k3_products | nonsidon_seq_k3_compare | depends_on |
| nonsidon_seq_k3_slos | nonsidon_seq_k3_compare | depends_on |
| sidon_h8_k3_products | sidon_h8_k3_compare | depends_on |
| sidon_h8_k3_slos | sidon_h8_k3_compare | depends_on |
| sidon_h16_k3_products | sidon_h16_k3_compare | depends_on |
| sidon_h16_k3_slos | sidon_h16_k3_compare | depends_on |
| sidon_pow7_k3_products | sidon_pow7_k3_compare | depends_on |
| sidon_pow7_k3_slos | sidon_pow7_k3_compare | depends_on |
| sidon_s6_k3_products | sidon_s6_k3_compare | depends_on |
| sidon_s6_k3_slos | sidon_s6_k3_compare | depends_on |
| sidon_s7_k3_products | sidon_s7_k3_compare | depends_on |
| sidon_s7_k3_slos | sidon_s7_k3_compare | depends_on |
| nonsidon_dense6_k3_products | nonsidon_dense6_k3_compare | depends_on |
| nonsidon_dense6_k3_slos | nonsidon_dense6_k3_compare | depends_on |
| nonsidon_dense7_k3_products | nonsidon_dense7_k3_compare | depends_on |
| nonsidon_dense7_k3_slos | nonsidon_dense7_k3_compare | depends_on |
| primes_s7_k3_products | primes_s7_k3_compare | depends_on |
| primes_s7_k3_slos | primes_s7_k3_compare | depends_on |
| primes_s8_k3_products | primes_s8_k3_compare | depends_on |
| primes_s8_k3_slos | primes_s8_k3_compare | depends_on |
| sidon_pow8_k3_products | sidon_pow8_k3_compare | depends_on |
| sidon_pow8_k3_slos | sidon_pow8_k3_compare | depends_on |
| sidon_pow2_k4_products | sidon_pow2_k4_compare | depends_on |
| sidon_pow2_k4_slos | sidon_pow2_k4_compare | depends_on |
| nonsidon_seq_k4_products | nonsidon_seq_k4_compare | depends_on |
| nonsidon_seq_k4_slos | nonsidon_seq_k4_compare | depends_on |
| sidon_h8_k4_products | sidon_h8_k4_compare | depends_on |
| sidon_h8_k4_slos | sidon_h8_k4_compare | depends_on |
| sidon_h16_k4_products | sidon_h16_k4_compare | depends_on |
| sidon_h16_k4_slos | sidon_h16_k4_compare | depends_on |
| sidon_pow7_k4_products | sidon_pow7_k4_compare | depends_on |
| sidon_pow7_k4_slos | sidon_pow7_k4_compare | depends_on |
| sidon_s6_k4_products | sidon_s6_k4_compare | depends_on |
| sidon_s6_k4_slos | sidon_s6_k4_compare | depends_on |
| sidon_s7_k4_products | sidon_s7_k4_compare | depends_on |
| sidon_s7_k4_slos | sidon_s7_k4_compare | depends_on |
| nonsidon_dense6_k4_products | nonsidon_dense6_k4_compare | depends_on |
| nonsidon_dense6_k4_slos | nonsidon_dense6_k4_compare | depends_on |
| nonsidon_dense7_k4_products | nonsidon_dense7_k4_compare | depends_on |
| nonsidon_dense7_k4_slos | nonsidon_dense7_k4_compare | depends_on |
| primes_s7_k4_products | primes_s7_k4_compare | depends_on |
| primes_s7_k4_slos | primes_s7_k4_compare | depends_on |
| primes_s8_k4_products | primes_s8_k4_compare | depends_on |
| primes_s8_k4_slos | primes_s8_k4_compare | depends_on |
| sidon_pow8_k4_products | sidon_pow8_k4_compare | depends_on |
| sidon_pow8_k4_slos | sidon_pow8_k4_compare | depends_on |

## How SLOS Computes (the informative part)

The DAG records the exact computation path:

### Node sidon_pow2_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 1}
- distinct: 3
- total: 4
- max_degeneracy: 2
- distinct_ratio: 0.75
- max_degen_ratio: 0.5
- product_entropy: 1.5
- entropy_ratio: 0.9464
- is_concentrated: False

### Node sidon_pow2_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 1, "n_modes": 4, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0>

### Node sidon_pow2_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 1, "n_modes": 4}
- n_modes: 4
- n_photons: 1
- n_shots: 100000
- n_output_states: 4
- n_nonzero: 4
- entropy: 1.019284
- max_entropy: 2.0
- entropy_ratio: 0.5096
- kl_divergence: 0.9807
- max_prob: 0.78286

### Node nonsidon_seq_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 1}
- distinct: 3
- total: 4
- max_degeneracy: 2
- distinct_ratio: 0.75
- max_degen_ratio: 0.5
- product_entropy: 1.5
- entropy_ratio: 0.9464
- is_concentrated: False

### Node nonsidon_seq_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 1, "n_modes": 4, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0>

### Node nonsidon_seq_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 1, "n_modes": 4}
- n_modes: 4
- n_photons: 1
- n_shots: 100000
- n_output_states: 4
- n_nonzero: 4
- entropy: 1.403893
- max_entropy: 2.0
- entropy_ratio: 0.7019
- kl_divergence: 0.5961
- max_prob: 0.6728

### Node sidon_h8_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 1}
- distinct: 3
- total: 4
- max_degeneracy: 2
- distinct_ratio: 0.75
- max_degen_ratio: 0.5
- product_entropy: 1.5
- entropy_ratio: 0.9464
- is_concentrated: False

### Node sidon_h8_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 1, "n_modes": 4, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0>

### Node sidon_h8_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 1, "n_modes": 4}
- n_modes: 4
- n_photons: 1
- n_shots: 100000
- n_output_states: 4
- n_nonzero: 4
- entropy: 1.154441
- max_entropy: 2.0
- entropy_ratio: 0.5772
- kl_divergence: 0.8456
- max_prob: 0.74826

### Node sidon_h16_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 1}
- distinct: 3
- total: 5
- max_degeneracy: 3
- distinct_ratio: 0.6
- max_degen_ratio: 0.6
- product_entropy: 1.371
- entropy_ratio: 0.865
- is_concentrated: False

### Node sidon_h16_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 1, "n_modes": 5, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0,0>

### Node sidon_h16_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 1, "n_modes": 5}
- n_modes: 5
- n_photons: 1
- n_shots: 100000
- n_output_states: 5
- n_nonzero: 5
- entropy: 1.027073
- max_entropy: 2.3219
- entropy_ratio: 0.4423
- kl_divergence: 1.2949
- max_prob: 0.80199

### Node sidon_pow7_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 1}
- distinct: 3
- total: 7
- max_degeneracy: 5
- distinct_ratio: 0.42857142857142855
- max_degen_ratio: 0.7142857142857143
- product_entropy: 1.1488
- entropy_ratio: 0.7248
- is_concentrated: True

### Node sidon_pow7_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 1, "n_modes": 7, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0,0,0,0>

### Node sidon_pow7_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 1, "n_modes": 7}
- n_modes: 7
- n_photons: 1
- n_shots: 100000
- n_output_states: 7
- n_nonzero: 7
- entropy: 0.909081
- max_entropy: 2.8074
- entropy_ratio: 0.3238
- kl_divergence: 1.8983
- max_prob: 0.84525

### Node sidon_s6_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 1}
- distinct: 3
- total: 6
- max_degeneracy: 4
- distinct_ratio: 0.5
- max_degen_ratio: 0.6666666666666666
- product_entropy: 1.2516
- entropy_ratio: 0.7897
- is_concentrated: False

### Node sidon_s6_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 1, "n_modes": 6, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0,0,0>

### Node sidon_s6_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 1, "n_modes": 6}
- n_modes: 6
- n_photons: 1
- n_shots: 100000
- n_output_states: 6
- n_nonzero: 6
- entropy: 1.178671
- max_entropy: 2.585
- entropy_ratio: 0.456
- kl_divergence: 1.4063
- max_prob: 0.7904

### Node sidon_s7_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 1}
- distinct: 3
- total: 7
- max_degeneracy: 5
- distinct_ratio: 0.42857142857142855
- max_degen_ratio: 0.7142857142857143
- product_entropy: 1.1488
- entropy_ratio: 0.7248
- is_concentrated: True

### Node sidon_s7_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 1, "n_modes": 7, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0,0,0,0>

### Node sidon_s7_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 1, "n_modes": 7}
- n_modes: 7
- n_photons: 1
- n_shots: 100000
- n_output_states: 7
- n_nonzero: 7
- entropy: 1.136878
- max_entropy: 2.8074
- entropy_ratio: 0.405
- kl_divergence: 1.6705
- max_prob: 0.81253

### Node nonsidon_dense6_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 1}
- distinct: 3
- total: 6
- max_degeneracy: 4
- distinct_ratio: 0.5
- max_degen_ratio: 0.6666666666666666
- product_entropy: 1.2516
- entropy_ratio: 0.7897
- is_concentrated: False

### Node nonsidon_dense6_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 1, "n_modes": 6, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0,0,0>

### Node nonsidon_dense6_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 1, "n_modes": 6}
- n_modes: 6
- n_photons: 1
- n_shots: 100000
- n_output_states: 6
- n_nonzero: 6
- entropy: 1.855492
- max_entropy: 2.585
- entropy_ratio: 0.7178
- kl_divergence: 0.7295
- max_prob: 0.61253

### Node nonsidon_dense7_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 1}
- distinct: 3
- total: 7
- max_degeneracy: 5
- distinct_ratio: 0.42857142857142855
- max_degen_ratio: 0.7142857142857143
- product_entropy: 1.1488
- entropy_ratio: 0.7248
- is_concentrated: True

### Node nonsidon_dense7_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 1, "n_modes": 7, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0,0,0,0>

### Node nonsidon_dense7_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 1, "n_modes": 7}
- n_modes: 7
- n_photons: 1
- n_shots: 100000
- n_output_states: 7
- n_nonzero: 7
- entropy: 1.405677
- max_entropy: 2.8074
- entropy_ratio: 0.5007
- kl_divergence: 1.4017
- max_prob: 0.76187

### Node primes_s7_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 1}
- distinct: 3
- total: 7
- max_degeneracy: 5
- distinct_ratio: 0.42857142857142855
- max_degen_ratio: 0.7142857142857143
- product_entropy: 1.1488
- entropy_ratio: 0.7248
- is_concentrated: True

### Node primes_s7_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 1, "n_modes": 7, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0,0,0,0>

### Node primes_s7_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 1, "n_modes": 7}
- n_modes: 7
- n_photons: 1
- n_shots: 100000
- n_output_states: 7
- n_nonzero: 7
- entropy: 1.298122
- max_entropy: 2.8074
- entropy_ratio: 0.4624
- kl_divergence: 1.5092
- max_prob: 0.77994

### Node primes_s8_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 1}
- distinct: 3
- total: 8
- max_degeneracy: 6
- distinct_ratio: 0.375
- max_degen_ratio: 0.75
- product_entropy: 1.0613
- entropy_ratio: 0.6696
- is_concentrated: True

### Node primes_s8_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 1, "n_modes": 8, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0,0,0,0,0>

### Node primes_s8_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 1, "n_modes": 8}
- n_modes: 8
- n_photons: 1
- n_shots: 100000
- n_output_states: 8
- n_nonzero: 8
- entropy: 1.197996
- max_entropy: 3.0
- entropy_ratio: 0.3993
- kl_divergence: 1.802
- max_prob: 0.8153

### Node sidon_pow8_k1_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 1}
- distinct: 3
- total: 8
- max_degeneracy: 6
- distinct_ratio: 0.375
- max_degen_ratio: 0.75
- product_entropy: 1.0613
- entropy_ratio: 0.6696
- is_concentrated: True

### Node sidon_pow8_k1_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 1, "n_modes": 8, "n_photons": 1, "cloud": false}
- circuit_built: True
- input_state: |1,0,0,0,0,0,0,0>

### Node sidon_pow8_k1_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 1, "n_modes": 8}
- n_modes: 8
- n_photons: 1
- n_shots: 100000
- n_output_states: 8
- n_nonzero: 8
- entropy: 0.918123
- max_entropy: 3.0
- entropy_ratio: 0.306
- kl_divergence: 2.0819
- max_prob: 0.85085

### Node sidon_pow2_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 1}
- k: 1
- desc: sidon_pow2
- labels: [1, 2, 4, 8]
- prod_distinct_ratio: 0.75
- slos_kl: 0.9807
- slos_entropy_ratio: 0.5096
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_seq_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 1}
- k: 1
- desc: nonsidon_seq
- labels: [1, 2, 3, 4]
- prod_distinct_ratio: 0.75
- slos_kl: 0.5961
- slos_entropy_ratio: 0.7019
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node sidon_h8_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 1}
- k: 1
- desc: sidon_h8
- labels: [1, 2, 5, 7]
- prod_distinct_ratio: 0.75
- slos_kl: 0.8456
- slos_entropy_ratio: 0.5772
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node sidon_h16_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 1}
- k: 1
- desc: sidon_h16
- labels: [1, 2, 5, 10, 16]
- prod_distinct_ratio: 0.6
- slos_kl: 1.2949
- slos_entropy_ratio: 0.4423
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow7_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 1}
- k: 1
- desc: sidon_pow7
- labels: [1, 2, 4, 8, 16, 32, 64]
- prod_distinct_ratio: 0.42857142857142855
- slos_kl: 1.8983
- slos_entropy_ratio: 0.3238
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node sidon_s6_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 1}
- k: 1
- desc: sidon_s6
- labels: [1, 2, 5, 11, 16, 19]
- prod_distinct_ratio: 0.5
- slos_kl: 1.4063
- slos_entropy_ratio: 0.456
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node sidon_s7_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 1}
- k: 1
- desc: sidon_s7
- labels: [1, 2, 5, 11, 19, 28, 35]
- prod_distinct_ratio: 0.42857142857142855
- slos_kl: 1.6705
- slos_entropy_ratio: 0.405
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_dense6_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 1}
- k: 1
- desc: nonsidon_dense6
- labels: [5, 6, 7, 8, 9, 10]
- prod_distinct_ratio: 0.5
- slos_kl: 0.7295
- slos_entropy_ratio: 0.7178
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_dense7_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 1}
- k: 1
- desc: nonsidon_dense7
- labels: [10, 11, 12, 13, 14, 15, 16]
- prod_distinct_ratio: 0.42857142857142855
- slos_kl: 1.4017
- slos_entropy_ratio: 0.5007
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node primes_s7_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 1}
- k: 1
- desc: primes_s7
- labels: [2, 3, 5, 7, 11, 13, 17]
- prod_distinct_ratio: 0.42857142857142855
- slos_kl: 1.5092
- slos_entropy_ratio: 0.4624
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node primes_s8_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 1}
- k: 1
- desc: primes_s8
- labels: [2, 3, 5, 7, 11, 13, 17, 19]
- prod_distinct_ratio: 0.375
- slos_kl: 1.802
- slos_entropy_ratio: 0.3993
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow8_k1_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 1}
- k: 1
- desc: sidon_pow8
- labels: [1, 2, 4, 8, 16, 32, 64, 128]
- prod_distinct_ratio: 0.375
- slos_kl: 2.0819
- slos_entropy_ratio: 0.306
- spearman_rho: -0.846
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow2_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 2}
- distinct: 4
- total: 10
- max_degeneracy: 7
- distinct_ratio: 0.4
- max_degen_ratio: 0.7
- product_entropy: 1.3568
- entropy_ratio: 0.6784
- is_concentrated: True

### Node sidon_pow2_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 2, "n_modes": 4, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0>

### Node sidon_pow2_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 2, "n_modes": 4}
- n_modes: 4
- n_photons: 2
- n_shots: 100000
- n_output_states: 10
- n_nonzero: 10
- entropy: 2.197161
- max_entropy: 3.3219
- entropy_ratio: 0.6614
- kl_divergence: 1.1248
- max_prob: 0.58244

### Node nonsidon_seq_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 2}
- distinct: 4
- total: 10
- max_degeneracy: 7
- distinct_ratio: 0.4
- max_degen_ratio: 0.7
- product_entropy: 1.3568
- entropy_ratio: 0.6784
- is_concentrated: True

### Node nonsidon_seq_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 2, "n_modes": 4, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0>

### Node nonsidon_seq_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 2, "n_modes": 4}
- n_modes: 4
- n_photons: 2
- n_shots: 100000
- n_output_states: 10
- n_nonzero: 10
- entropy: 2.82676
- max_entropy: 3.3219
- entropy_ratio: 0.8509
- kl_divergence: 0.4952
- max_prob: 0.39125

### Node sidon_h8_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 2}
- distinct: 4
- total: 10
- max_degeneracy: 7
- distinct_ratio: 0.4
- max_degen_ratio: 0.7
- product_entropy: 1.3568
- entropy_ratio: 0.6784
- is_concentrated: True

### Node sidon_h8_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 2, "n_modes": 4, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0>

### Node sidon_h8_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 2, "n_modes": 4}
- n_modes: 4
- n_photons: 2
- n_shots: 100000
- n_output_states: 10
- n_nonzero: 10
- entropy: 2.420299
- max_entropy: 3.3219
- entropy_ratio: 0.7286
- kl_divergence: 0.9016
- max_prob: 0.53399

### Node sidon_h16_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 2}
- distinct: 4
- total: 15
- max_degeneracy: 12
- distinct_ratio: 0.26666666666666666
- max_degen_ratio: 0.8
- product_entropy: 1.0389
- entropy_ratio: 0.5195
- is_concentrated: True

### Node sidon_h16_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 2, "n_modes": 5, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0,0>

### Node sidon_h16_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 2, "n_modes": 5}
- n_modes: 5
- n_photons: 2
- n_shots: 100000
- n_output_states: 15
- n_nonzero: 15
- entropy: 2.140299
- max_entropy: 3.9069
- entropy_ratio: 0.5478
- kl_divergence: 1.7666
- max_prob: 0.64234

### Node sidon_pow7_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 2}
- distinct: 4
- total: 28
- max_degeneracy: 25
- distinct_ratio: 0.14285714285714285
- max_degen_ratio: 0.8928571428571429
- product_entropy: 0.6611
- entropy_ratio: 0.3305
- is_concentrated: True

### Node sidon_pow7_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 2, "n_modes": 7, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0,0,0,0>

### Node sidon_pow7_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 2, "n_modes": 7}
- n_modes: 7
- n_photons: 2
- n_shots: 100000
- n_output_states: 28
- n_nonzero: 28
- entropy: 1.864498
- max_entropy: 4.8074
- entropy_ratio: 0.3878
- kl_divergence: 2.9429
- max_prob: 0.71738

### Node sidon_s6_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 2}
- distinct: 4
- total: 21
- max_degeneracy: 18
- distinct_ratio: 0.19047619047619047
- max_degen_ratio: 0.8571428571428571
- product_entropy: 0.8181
- entropy_ratio: 0.409
- is_concentrated: True

### Node sidon_s6_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 2, "n_modes": 6, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0,0,0>

### Node sidon_s6_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 2, "n_modes": 6}
- n_modes: 6
- n_photons: 2
- n_shots: 100000
- n_output_states: 21
- n_nonzero: 21
- entropy: 2.447036
- max_entropy: 4.3923
- entropy_ratio: 0.5571
- kl_divergence: 1.9453
- max_prob: 0.61889

### Node sidon_s7_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 2}
- distinct: 4
- total: 28
- max_degeneracy: 25
- distinct_ratio: 0.14285714285714285
- max_degen_ratio: 0.8928571428571429
- product_entropy: 0.6611
- entropy_ratio: 0.3305
- is_concentrated: True

### Node sidon_s7_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 2, "n_modes": 7, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0,0,0,0>

### Node sidon_s7_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 2, "n_modes": 7}
- n_modes: 7
- n_photons: 2
- n_shots: 100000
- n_output_states: 28
- n_nonzero: 28
- entropy: 2.325544
- max_entropy: 4.8074
- entropy_ratio: 0.4837
- kl_divergence: 2.4818
- max_prob: 0.65918

### Node nonsidon_dense6_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 2}
- distinct: 4
- total: 21
- max_degeneracy: 18
- distinct_ratio: 0.19047619047619047
- max_degen_ratio: 0.8571428571428571
- product_entropy: 0.8181
- entropy_ratio: 0.409
- is_concentrated: True

### Node nonsidon_dense6_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 2, "n_modes": 6, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0,0,0>

### Node nonsidon_dense6_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 2, "n_modes": 6}
- n_modes: 6
- n_photons: 2
- n_shots: 100000
- n_output_states: 21
- n_nonzero: 21
- entropy: 3.470953
- max_entropy: 4.3923
- entropy_ratio: 0.7902
- kl_divergence: 0.9214
- max_prob: 0.39963

### Node nonsidon_dense7_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 2}
- distinct: 4
- total: 28
- max_degeneracy: 25
- distinct_ratio: 0.14285714285714285
- max_degen_ratio: 0.8928571428571429
- product_entropy: 0.6611
- entropy_ratio: 0.3305
- is_concentrated: True

### Node nonsidon_dense7_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 2, "n_modes": 7, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0,0,0,0>

### Node nonsidon_dense7_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 2, "n_modes": 7}
- n_modes: 7
- n_photons: 2
- n_shots: 100000
- n_output_states: 28
- n_nonzero: 28
- entropy: 2.888476
- max_entropy: 4.8074
- entropy_ratio: 0.6008
- kl_divergence: 1.9189
- max_prob: 0.55953

### Node primes_s7_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 2}
- distinct: 4
- total: 28
- max_degeneracy: 25
- distinct_ratio: 0.14285714285714285
- max_degen_ratio: 0.8928571428571429
- product_entropy: 0.6611
- entropy_ratio: 0.3305
- is_concentrated: True

### Node primes_s7_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 2, "n_modes": 7, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0,0,0,0>

### Node primes_s7_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 2, "n_modes": 7}
- n_modes: 7
- n_photons: 2
- n_shots: 100000
- n_output_states: 28
- n_nonzero: 28
- entropy: 2.688608
- max_entropy: 4.8074
- entropy_ratio: 0.5593
- kl_divergence: 2.1187
- max_prob: 0.60083

### Node primes_s8_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 2}
- distinct: 4
- total: 36
- max_degeneracy: 33
- distinct_ratio: 0.1111111111111111
- max_degen_ratio: 0.9166666666666666
- product_entropy: 0.5459
- entropy_ratio: 0.2729
- is_concentrated: True

### Node primes_s8_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 2, "n_modes": 8, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0,0,0,0,0>

### Node primes_s8_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 2, "n_modes": 8}
- n_modes: 8
- n_photons: 2
- n_shots: 100000
- n_output_states: 36
- n_nonzero: 36
- entropy: 2.530553
- max_entropy: 5.1699
- entropy_ratio: 0.4895
- kl_divergence: 2.6394
- max_prob: 0.64571

### Node sidon_pow8_k2_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 2}
- distinct: 4
- total: 36
- max_degeneracy: 33
- distinct_ratio: 0.1111111111111111
- max_degen_ratio: 0.9166666666666666
- product_entropy: 0.5459
- entropy_ratio: 0.2729
- is_concentrated: True

### Node sidon_pow8_k2_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 2, "n_modes": 8, "n_photons": 2, "cloud": false}
- circuit_built: True
- input_state: |1,1,0,0,0,0,0,0>

### Node sidon_pow8_k2_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 2, "n_modes": 8}
- n_modes: 8
- n_photons: 2
- n_shots: 100000
- n_output_states: 36
- n_nonzero: 36
- entropy: 1.869936
- max_entropy: 5.1699
- entropy_ratio: 0.3617
- kl_divergence: 3.3
- max_prob: 0.72782

### Node sidon_pow2_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 2}
- k: 2
- desc: sidon_pow2
- labels: [1, 2, 4, 8]
- prod_distinct_ratio: 0.4
- slos_kl: 1.1248
- slos_entropy_ratio: 0.6614
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_seq_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 2}
- k: 2
- desc: nonsidon_seq
- labels: [1, 2, 3, 4]
- prod_distinct_ratio: 0.4
- slos_kl: 0.4952
- slos_entropy_ratio: 0.8509
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node sidon_h8_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 2}
- k: 2
- desc: sidon_h8
- labels: [1, 2, 5, 7]
- prod_distinct_ratio: 0.4
- slos_kl: 0.9016
- slos_entropy_ratio: 0.7286
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node sidon_h16_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 2}
- k: 2
- desc: sidon_h16
- labels: [1, 2, 5, 10, 16]
- prod_distinct_ratio: 0.26666666666666666
- slos_kl: 1.7666
- slos_entropy_ratio: 0.5478
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow7_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 2}
- k: 2
- desc: sidon_pow7
- labels: [1, 2, 4, 8, 16, 32, 64]
- prod_distinct_ratio: 0.14285714285714285
- slos_kl: 2.9429
- slos_entropy_ratio: 0.3878
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node sidon_s6_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 2}
- k: 2
- desc: sidon_s6
- labels: [1, 2, 5, 11, 16, 19]
- prod_distinct_ratio: 0.19047619047619047
- slos_kl: 1.9453
- slos_entropy_ratio: 0.5571
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node sidon_s7_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 2}
- k: 2
- desc: sidon_s7
- labels: [1, 2, 5, 11, 19, 28, 35]
- prod_distinct_ratio: 0.14285714285714285
- slos_kl: 2.4818
- slos_entropy_ratio: 0.4837
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_dense6_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 2}
- k: 2
- desc: nonsidon_dense6
- labels: [5, 6, 7, 8, 9, 10]
- prod_distinct_ratio: 0.19047619047619047
- slos_kl: 0.9214
- slos_entropy_ratio: 0.7902
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_dense7_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 2}
- k: 2
- desc: nonsidon_dense7
- labels: [10, 11, 12, 13, 14, 15, 16]
- prod_distinct_ratio: 0.14285714285714285
- slos_kl: 1.9189
- slos_entropy_ratio: 0.6008
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node primes_s7_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 2}
- k: 2
- desc: primes_s7
- labels: [2, 3, 5, 7, 11, 13, 17]
- prod_distinct_ratio: 0.14285714285714285
- slos_kl: 2.1187
- slos_entropy_ratio: 0.5593
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node primes_s8_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 2}
- k: 2
- desc: primes_s8
- labels: [2, 3, 5, 7, 11, 13, 17, 19]
- prod_distinct_ratio: 0.1111111111111111
- slos_kl: 2.6394
- slos_entropy_ratio: 0.4895
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow8_k2_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 2}
- k: 2
- desc: sidon_pow8
- labels: [1, 2, 4, 8, 16, 32, 64, 128]
- prod_distinct_ratio: 0.1111111111111111
- slos_kl: 3.3
- slos_entropy_ratio: 0.3617
- spearman_rho: -0.8795
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow2_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 3}
- distinct: 5
- total: 20
- max_degeneracy: 16
- distinct_ratio: 0.25
- max_degen_ratio: 0.8
- product_entropy: 1.1219
- entropy_ratio: 0.4832
- is_concentrated: True

### Node sidon_pow2_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 3, "n_modes": 4, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0>

### Node sidon_pow2_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 3, "n_modes": 4}
- n_modes: 4
- n_photons: 3
- n_shots: 100000
- n_output_states: 20
- n_nonzero: 20
- entropy: 3.532512
- max_entropy: 4.3219
- entropy_ratio: 0.8173
- kl_divergence: 0.7894
- max_prob: 0.34768

### Node nonsidon_seq_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 3}
- distinct: 5
- total: 20
- max_degeneracy: 16
- distinct_ratio: 0.25
- max_degen_ratio: 0.8
- product_entropy: 1.1219
- entropy_ratio: 0.4832
- is_concentrated: True

### Node nonsidon_seq_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 3, "n_modes": 4, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0>

### Node nonsidon_seq_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 3, "n_modes": 4}
- n_modes: 4
- n_photons: 3
- n_shots: 100000
- n_output_states: 20
- n_nonzero: 20
- entropy: 3.873986
- max_entropy: 4.3219
- entropy_ratio: 0.8964
- kl_divergence: 0.4479
- max_prob: 0.20731

### Node sidon_h8_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 3}
- distinct: 5
- total: 20
- max_degeneracy: 16
- distinct_ratio: 0.25
- max_degen_ratio: 0.8
- product_entropy: 1.1219
- entropy_ratio: 0.4832
- is_concentrated: True

### Node sidon_h8_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 3, "n_modes": 4, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0>

### Node sidon_h8_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 3, "n_modes": 4}
- n_modes: 4
- n_photons: 3
- n_shots: 100000
- n_output_states: 20
- n_nonzero: 20
- entropy: 3.808627
- max_entropy: 4.3219
- entropy_ratio: 0.8812
- kl_divergence: 0.5133
- max_prob: 0.23986

### Node sidon_h16_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 3}
- distinct: 5
- total: 35
- max_degeneracy: 31
- distinct_ratio: 0.14285714285714285
- max_degen_ratio: 0.8857142857142857
- product_entropy: 0.7413
- entropy_ratio: 0.3193
- is_concentrated: True

### Node sidon_h16_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 3, "n_modes": 5, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0,0>

### Node sidon_h16_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 3, "n_modes": 5}
- n_modes: 5
- n_photons: 3
- n_shots: 100000
- n_output_states: 35
- n_nonzero: 35
- entropy: 3.47459
- max_entropy: 5.1293
- entropy_ratio: 0.6774
- kl_divergence: 1.6547
- max_prob: 0.46201

### Node sidon_pow7_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 3}
- distinct: 5
- total: 84
- max_degeneracy: 80
- distinct_ratio: 0.05952380952380952
- max_degen_ratio: 0.9523809523809523
- product_entropy: 0.3714
- entropy_ratio: 0.16
- is_concentrated: True

### Node sidon_pow7_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 3, "n_modes": 7, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0,0,0,0>

### Node sidon_pow7_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 3, "n_modes": 7}
- n_modes: 7
- n_photons: 3
- n_shots: 100000
- n_output_states: 80
- n_nonzero: 80
- entropy: 2.870384
- max_entropy: 6.3219
- entropy_ratio: 0.454
- kl_divergence: 3.4515
- max_prob: 0.61162

### Node sidon_s6_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 3}
- distinct: 5
- total: 56
- max_degeneracy: 52
- distinct_ratio: 0.08928571428571429
- max_degen_ratio: 0.9285714285714286
- product_entropy: 0.5141
- entropy_ratio: 0.2214
- is_concentrated: True

### Node sidon_s6_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 3, "n_modes": 6, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0,0,0>

### Node sidon_s6_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 3, "n_modes": 6}
- n_modes: 6
- n_photons: 3
- n_shots: 100000
- n_output_states: 56
- n_nonzero: 56
- entropy: 3.860889
- max_entropy: 5.8074
- entropy_ratio: 0.6648
- kl_divergence: 1.9465
- max_prob: 0.45906

### Node sidon_s7_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 3}
- distinct: 5
- total: 84
- max_degeneracy: 80
- distinct_ratio: 0.05952380952380952
- max_degen_ratio: 0.9523809523809523
- product_entropy: 0.3714
- entropy_ratio: 0.16
- is_concentrated: True

### Node sidon_s7_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 3, "n_modes": 7, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0,0,0,0>

### Node sidon_s7_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 3, "n_modes": 7}
- n_modes: 7
- n_photons: 3
- n_shots: 100000
- n_output_states: 84
- n_nonzero: 84
- entropy: 3.641425
- max_entropy: 6.3923
- entropy_ratio: 0.5697
- kl_divergence: 2.7509
- max_prob: 0.52434

### Node nonsidon_dense6_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 3}
- distinct: 5
- total: 56
- max_degeneracy: 52
- distinct_ratio: 0.08928571428571429
- max_degen_ratio: 0.9285714285714286
- product_entropy: 0.5141
- entropy_ratio: 0.2214
- is_concentrated: True

### Node nonsidon_dense6_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 3, "n_modes": 6, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0,0,0>

### Node nonsidon_dense6_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 3, "n_modes": 6}
- n_modes: 6
- n_photons: 3
- n_shots: 100000
- n_output_states: 56
- n_nonzero: 56
- entropy: 4.765377
- max_entropy: 5.8074
- entropy_ratio: 0.8206
- kl_divergence: 1.042
- max_prob: 0.27308

### Node nonsidon_dense7_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 3}
- distinct: 5
- total: 84
- max_degeneracy: 80
- distinct_ratio: 0.05952380952380952
- max_degen_ratio: 0.9523809523809523
- product_entropy: 0.3714
- entropy_ratio: 0.16
- is_concentrated: True

### Node nonsidon_dense7_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 3, "n_modes": 7, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0,0,0,0>

### Node nonsidon_dense7_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 3, "n_modes": 7}
- n_modes: 7
- n_photons: 3
- n_shots: 100000
- n_output_states: 84
- n_nonzero: 84
- entropy: 4.3175
- max_entropy: 6.3923
- entropy_ratio: 0.6754
- kl_divergence: 2.0748
- max_prob: 0.4197

### Node primes_s7_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 3}
- distinct: 5
- total: 84
- max_degeneracy: 80
- distinct_ratio: 0.05952380952380952
- max_degen_ratio: 0.9523809523809523
- product_entropy: 0.3714
- entropy_ratio: 0.16
- is_concentrated: True

### Node primes_s7_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 3, "n_modes": 7, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0,0,0,0>

### Node primes_s7_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 3, "n_modes": 7}
- n_modes: 7
- n_photons: 3
- n_shots: 100000
- n_output_states: 84
- n_nonzero: 84
- entropy: 4.156243
- max_entropy: 6.3923
- entropy_ratio: 0.6502
- kl_divergence: 2.2361
- max_prob: 0.45294

### Node primes_s8_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 3}
- distinct: 5
- total: 120
- max_degeneracy: 116
- distinct_ratio: 0.041666666666666664
- max_degen_ratio: 0.9666666666666667
- product_entropy: 0.2775
- entropy_ratio: 0.1195
- is_concentrated: True

### Node primes_s8_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 3, "n_modes": 8, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0,0,0,0,0>

### Node primes_s8_k3_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 3, "n_modes": 8}
- n_modes: 8
- n_photons: 3
- n_shots: 100000
- n_output_states: 120
- n_nonzero: 120
- entropy: 3.996964
- max_entropy: 6.9069
- entropy_ratio: 0.5787
- kl_divergence: 2.9099
- max_prob: 0.50015

### Node sidon_pow8_k3_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 3}
- distinct: 5
- total: 120
- max_degeneracy: 116
- distinct_ratio: 0.041666666666666664
- max_degen_ratio: 0.9666666666666667
- product_entropy: 0.2775
- entropy_ratio: 0.1195
- is_concentrated: True

### Node sidon_pow8_k3_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 3, "n_modes": 8, "n_photons": 3, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,0,0,0,0,0>

### Node sidon_pow8_k3_slos: slos
- Status: success
- Elapsed: 0.01s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 3, "n_modes": 8}
- n_modes: 8
- n_photons: 3
- n_shots: 100000
- n_output_states: 117
- n_nonzero: 117
- entropy: 2.837025
- max_entropy: 6.8704
- entropy_ratio: 0.4129
- kl_divergence: 4.0333
- max_prob: 0.6299

### Node sidon_pow2_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 3}
- k: 3
- desc: sidon_pow2
- labels: [1, 2, 4, 8]
- prod_distinct_ratio: 0.25
- slos_kl: 0.7894
- slos_entropy_ratio: 0.8173
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_seq_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 3}
- k: 3
- desc: nonsidon_seq
- labels: [1, 2, 3, 4]
- prod_distinct_ratio: 0.25
- slos_kl: 0.4479
- slos_entropy_ratio: 0.8964
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_h8_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 3}
- k: 3
- desc: sidon_h8
- labels: [1, 2, 5, 7]
- prod_distinct_ratio: 0.25
- slos_kl: 0.5133
- slos_entropy_ratio: 0.8812
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_h16_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 3}
- k: 3
- desc: sidon_h16
- labels: [1, 2, 5, 10, 16]
- prod_distinct_ratio: 0.14285714285714285
- slos_kl: 1.6547
- slos_entropy_ratio: 0.6774
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow7_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 3}
- k: 3
- desc: sidon_pow7
- labels: [1, 2, 4, 8, 16, 32, 64]
- prod_distinct_ratio: 0.05952380952380952
- slos_kl: 3.4515
- slos_entropy_ratio: 0.454
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_s6_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 3}
- k: 3
- desc: sidon_s6
- labels: [1, 2, 5, 11, 16, 19]
- prod_distinct_ratio: 0.08928571428571429
- slos_kl: 1.9465
- slos_entropy_ratio: 0.6648
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_s7_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 3}
- k: 3
- desc: sidon_s7
- labels: [1, 2, 5, 11, 19, 28, 35]
- prod_distinct_ratio: 0.05952380952380952
- slos_kl: 2.7509
- slos_entropy_ratio: 0.5697
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_dense6_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 3}
- k: 3
- desc: nonsidon_dense6
- labels: [5, 6, 7, 8, 9, 10]
- prod_distinct_ratio: 0.08928571428571429
- slos_kl: 1.042
- slos_entropy_ratio: 0.8206
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_dense7_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 3}
- k: 3
- desc: nonsidon_dense7
- labels: [10, 11, 12, 13, 14, 15, 16]
- prod_distinct_ratio: 0.05952380952380952
- slos_kl: 2.0748
- slos_entropy_ratio: 0.6754
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node primes_s7_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 3}
- k: 3
- desc: primes_s7
- labels: [2, 3, 5, 7, 11, 13, 17]
- prod_distinct_ratio: 0.05952380952380952
- slos_kl: 2.2361
- slos_entropy_ratio: 0.6502
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node primes_s8_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 3}
- k: 3
- desc: primes_s8
- labels: [2, 3, 5, 7, 11, 13, 17, 19]
- prod_distinct_ratio: 0.041666666666666664
- slos_kl: 2.9099
- slos_entropy_ratio: 0.5787
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow8_k3_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 3}
- k: 3
- desc: sidon_pow8
- labels: [1, 2, 4, 8, 16, 32, 64, 128]
- prod_distinct_ratio: 0.041666666666666664
- slos_kl: 4.0333
- slos_entropy_ratio: 0.4129
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow2_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 4}
- distinct: 6
- total: 35
- max_degeneracy: 30
- distinct_ratio: 0.17142857142857143
- max_degen_ratio: 0.8571428571428571
- product_entropy: 0.9234
- entropy_ratio: 0.3572
- is_concentrated: True

### Node sidon_pow2_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 4, "n_modes": 4, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1>

### Node sidon_pow2_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 4, "n_modes": 4}
- n_modes: 4
- n_photons: 4
- n_shots: 100000
- n_output_states: 35
- n_nonzero: 35
- entropy: 4.64099
- max_entropy: 5.1293
- entropy_ratio: 0.9048
- kl_divergence: 0.4883
- max_prob: 0.10972

### Node nonsidon_seq_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 4}
- distinct: 6
- total: 35
- max_degeneracy: 30
- distinct_ratio: 0.17142857142857143
- max_degen_ratio: 0.8571428571428571
- product_entropy: 0.9234
- entropy_ratio: 0.3572
- is_concentrated: True

### Node nonsidon_seq_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 4, "n_modes": 4, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1>

### Node nonsidon_seq_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 4, "n_modes": 4}
- n_modes: 4
- n_photons: 4
- n_shots: 100000
- n_output_states: 35
- n_nonzero: 35
- entropy: 4.621103
- max_entropy: 5.1293
- entropy_ratio: 0.9009
- kl_divergence: 0.5082
- max_prob: 0.09772

### Node sidon_h8_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 4}
- distinct: 6
- total: 35
- max_degeneracy: 30
- distinct_ratio: 0.17142857142857143
- max_degen_ratio: 0.8571428571428571
- product_entropy: 0.9234
- entropy_ratio: 0.3572
- is_concentrated: True

### Node sidon_h8_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 4, "n_modes": 4, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1>

### Node sidon_h8_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 4, "n_modes": 4}
- n_modes: 4
- n_photons: 4
- n_shots: 100000
- n_output_states: 35
- n_nonzero: 35
- entropy: 4.580681
- max_entropy: 5.1293
- entropy_ratio: 0.893
- kl_divergence: 0.5486
- max_prob: 0.12833

### Node sidon_h16_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 4}
- distinct: 6
- total: 70
- max_degeneracy: 65
- distinct_ratio: 0.08571428571428572
- max_degen_ratio: 0.9285714285714286
- product_entropy: 0.5371
- entropy_ratio: 0.2078
- is_concentrated: True

### Node sidon_h16_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 4, "n_modes": 5, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1,0>

### Node sidon_h16_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 4, "n_modes": 5}
- n_modes: 5
- n_photons: 4
- n_shots: 100000
- n_output_states: 70
- n_nonzero: 70
- entropy: 4.949382
- max_entropy: 6.1293
- entropy_ratio: 0.8075
- kl_divergence: 1.1799
- max_prob: 0.23869

### Node sidon_pow7_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 4}
- distinct: 6
- total: 210
- max_degeneracy: 205
- distinct_ratio: 0.02857142857142857
- max_degen_ratio: 0.9761904761904762
- product_entropy: 0.2176
- entropy_ratio: 0.0842
- is_concentrated: True

### Node sidon_pow7_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 4, "n_modes": 7, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1,0,0,0>

### Node sidon_pow7_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 4, "n_modes": 7}
- n_modes: 7
- n_photons: 4
- n_shots: 100000
- n_output_states: 205
- n_nonzero: 205
- entropy: 4.014578
- max_entropy: 7.6795
- entropy_ratio: 0.5228
- kl_divergence: 3.6649
- max_prob: 0.50848

### Node sidon_s6_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 4}
- distinct: 6
- total: 126
- max_degeneracy: 121
- distinct_ratio: 0.047619047619047616
- max_degen_ratio: 0.9603174603174603
- product_entropy: 0.333
- entropy_ratio: 0.1288
- is_concentrated: True

### Node sidon_s6_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 4, "n_modes": 6, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1,0,0>

### Node sidon_s6_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 4, "n_modes": 6}
- n_modes: 6
- n_photons: 4
- n_shots: 100000
- n_output_states: 126
- n_nonzero: 126
- entropy: 5.370826
- max_entropy: 6.9773
- entropy_ratio: 0.7698
- kl_divergence: 1.6065
- max_prob: 0.27097

### Node sidon_s7_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 4}
- distinct: 6
- total: 210
- max_degeneracy: 205
- distinct_ratio: 0.02857142857142857
- max_degen_ratio: 0.9761904761904762
- product_entropy: 0.2176
- entropy_ratio: 0.0842
- is_concentrated: True

### Node sidon_s7_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 4, "n_modes": 7, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1,0,0,0>

### Node sidon_s7_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 4, "n_modes": 7}
- n_modes: 7
- n_photons: 4
- n_shots: 100000
- n_output_states: 210
- n_nonzero: 210
- entropy: 5.100881
- max_entropy: 7.7142
- entropy_ratio: 0.6612
- kl_divergence: 2.6134
- max_prob: 0.38876

### Node nonsidon_dense6_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 4}
- distinct: 6
- total: 126
- max_degeneracy: 121
- distinct_ratio: 0.047619047619047616
- max_degen_ratio: 0.9603174603174603
- product_entropy: 0.333
- entropy_ratio: 0.1288
- is_concentrated: True

### Node nonsidon_dense6_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 4, "n_modes": 6, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1,0,0>

### Node nonsidon_dense6_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 4, "n_modes": 6}
- n_modes: 6
- n_photons: 4
- n_shots: 100000
- n_output_states: 126
- n_nonzero: 126
- entropy: 5.877634
- max_entropy: 6.9773
- entropy_ratio: 0.8424
- kl_divergence: 1.0996
- max_prob: 0.19064

### Node nonsidon_dense7_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 4}
- distinct: 6
- total: 210
- max_degeneracy: 205
- distinct_ratio: 0.02857142857142857
- max_degen_ratio: 0.9761904761904762
- product_entropy: 0.2176
- entropy_ratio: 0.0842
- is_concentrated: True

### Node nonsidon_dense7_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 4, "n_modes": 7, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1,0,0,0>

### Node nonsidon_dense7_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 4, "n_modes": 7}
- n_modes: 7
- n_photons: 4
- n_shots: 100000
- n_output_states: 210
- n_nonzero: 210
- entropy: 5.669085
- max_entropy: 7.7142
- entropy_ratio: 0.7349
- kl_divergence: 2.0452
- max_prob: 0.31966

### Node primes_s7_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 4}
- distinct: 6
- total: 210
- max_degeneracy: 205
- distinct_ratio: 0.02857142857142857
- max_degen_ratio: 0.9761904761904762
- product_entropy: 0.2176
- entropy_ratio: 0.0842
- is_concentrated: True

### Node primes_s7_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 4, "n_modes": 7, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1,0,0,0>

### Node primes_s7_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 4, "n_modes": 7}
- n_modes: 7
- n_photons: 4
- n_shots: 100000
- n_output_states: 210
- n_nonzero: 210
- entropy: 5.59635
- max_entropy: 7.7142
- entropy_ratio: 0.7255
- kl_divergence: 2.1179
- max_prob: 0.32744

### Node primes_s8_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 4}
- distinct: 6
- total: 330
- max_degeneracy: 325
- distinct_ratio: 0.01818181818181818
- max_degen_ratio: 0.9848484848484849
- product_entropy: 0.1485
- entropy_ratio: 0.0574
- is_concentrated: True

### Node primes_s8_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 4, "n_modes": 8, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1,0,0,0,0>

### Node primes_s8_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 4, "n_modes": 8}
- n_modes: 8
- n_photons: 4
- n_shots: 100000
- n_output_states: 330
- n_nonzero: 330
- entropy: 5.488591
- max_entropy: 8.3663
- entropy_ratio: 0.656
- kl_divergence: 2.8777
- max_prob: 0.38094

### Node sidon_pow8_k4_products: eigenvalue_products
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 4}
- distinct: 6
- total: 330
- max_degeneracy: 325
- distinct_ratio: 0.01818181818181818
- max_degen_ratio: 0.9848484848484849
- product_entropy: 0.1485
- entropy_ratio: 0.0574
- is_concentrated: True

### Node sidon_pow8_k4_slos_circuit: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 4, "n_modes": 8, "n_photons": 4, "cloud": false}
- circuit_built: True
- input_state: |1,1,1,1,0,0,0,0>

### Node sidon_pow8_k4_slos: slos
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 4, "n_modes": 8}
- n_modes: 8
- n_photons: 4
- n_shots: 100000
- n_output_states: 302
- n_nonzero: 302
- entropy: 3.886943
- max_entropy: 8.2384
- entropy_ratio: 0.4718
- kl_divergence: 4.3515
- max_prob: 0.54008

### Node sidon_pow2_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8], "k": 4}
- k: 4
- desc: sidon_pow2
- labels: [1, 2, 4, 8]
- prod_distinct_ratio: 0.17142857142857143
- slos_kl: 0.4883
- slos_entropy_ratio: 0.9048
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_seq_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 3, 4], "k": 4}
- k: 4
- desc: nonsidon_seq
- labels: [1, 2, 3, 4]
- prod_distinct_ratio: 0.17142857142857143
- slos_kl: 0.5082
- slos_entropy_ratio: 0.9009
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_h8_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 7], "k": 4}
- k: 4
- desc: sidon_h8
- labels: [1, 2, 5, 7]
- prod_distinct_ratio: 0.17142857142857143
- slos_kl: 0.5486
- slos_entropy_ratio: 0.893
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_h16_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 10, 16], "k": 4}
- k: 4
- desc: sidon_h16
- labels: [1, 2, 5, 10, 16]
- prod_distinct_ratio: 0.08571428571428572
- slos_kl: 1.1799
- slos_entropy_ratio: 0.8075
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow7_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64], "k": 4}
- k: 4
- desc: sidon_pow7
- labels: [1, 2, 4, 8, 16, 32, 64]
- prod_distinct_ratio: 0.02857142857142857
- slos_kl: 3.6649
- slos_entropy_ratio: 0.5228
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_s6_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 16, 19], "k": 4}
- k: 4
- desc: sidon_s6
- labels: [1, 2, 5, 11, 16, 19]
- prod_distinct_ratio: 0.047619047619047616
- slos_kl: 1.6065
- slos_entropy_ratio: 0.7698
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_s7_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 5, 11, 19, 28, 35], "k": 4}
- k: 4
- desc: sidon_s7
- labels: [1, 2, 5, 11, 19, 28, 35]
- prod_distinct_ratio: 0.02857142857142857
- slos_kl: 2.6134
- slos_entropy_ratio: 0.6612
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_dense6_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [5, 6, 7, 8, 9, 10], "k": 4}
- k: 4
- desc: nonsidon_dense6
- labels: [5, 6, 7, 8, 9, 10]
- prod_distinct_ratio: 0.047619047619047616
- slos_kl: 1.0996
- slos_entropy_ratio: 0.8424
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node nonsidon_dense7_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [10, 11, 12, 13, 14, 15, 16], "k": 4}
- k: 4
- desc: nonsidon_dense7
- labels: [10, 11, 12, 13, 14, 15, 16]
- prod_distinct_ratio: 0.02857142857142857
- slos_kl: 2.0452
- slos_entropy_ratio: 0.7349
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node primes_s7_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17], "k": 4}
- k: 4
- desc: primes_s7
- labels: [2, 3, 5, 7, 11, 13, 17]
- prod_distinct_ratio: 0.02857142857142857
- slos_kl: 2.1179
- slos_entropy_ratio: 0.7255
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node primes_s8_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [2, 3, 5, 7, 11, 13, 17, 19], "k": 4}
- k: 4
- desc: primes_s8
- labels: [2, 3, 5, 7, 11, 13, 17, 19]
- prod_distinct_ratio: 0.01818181818181818
- slos_kl: 2.8777
- slos_entropy_ratio: 0.656
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True

### Node sidon_pow8_k4_compare: compare
- Status: success
- Elapsed: 0.0s
- Inputs: {"labels": [1, 2, 4, 8, 16, 32, 64, 128], "k": 4}
- k: 4
- desc: sidon_pow8
- labels: [1, 2, 4, 8, 16, 32, 64, 128]
- prod_distinct_ratio: 0.01818181818181818
- slos_kl: 4.3515
- slos_entropy_ratio: 0.4718
- spearman_rho: -0.9298
- rank_n: 12
- rank_confirmed: True