mirror of https://github.com/allaunthefox/SilverSight.git synced 2026-07-31 01:25:21 +00:00

allaun f1a050277b feat(slos): eigenvalue products predict SLOS concentration ordering - verified with Spearman correlation, cross-validated with exact tensor network

48 test points across K=1..4 and 12 label sets (Sidon power sets,
Sidon constructions, dense non-Sidon, prime-based).

Results:
  K=1: ρ=-0.85 (products→SLOS), ρ=-0.94 (SLOS↔tensor)
  K=2: ρ=-0.88 (products→SLOS), ρ=-0.94 (SLOS↔tensor)
  K=3: ρ=-0.93 (products→SLOS), ρ=-0.98 (SLOS↔tensor)
  K=4: ρ=-0.93 (products→SLOS), tensor N/A (K>3)

Key: all Spearman correlations are negative and strengthen with K.
Sidon sets produce 1.5-2.3× higher KL divergence than same-size non-Sidon.
Primes are intermediate: partially Sidon-like but weaker.

DAG: 192 nodes, 96 edges, all individually checkpointed for resume.
Resume with: python3 scripts/perceval_slos_verify.py --resume

Receipt: docs/research/SLOS_SIDON_VERIFICATION_RECEIPT.md

Build: N/A (Python/perceval verification, no Lean build)

2026-07-03 17:55:26 -05:00

83 KiB

Raw Blame History

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

83 KiB Raw Blame History

SLOS Computation DAG

Nodes

Edges

How SLOS Computes (the informative part)

Node sidon_pow2_k1_products: eigenvalue_products

Node sidon_pow2_k1_slos_circuit: slos

Node sidon_pow2_k1_slos: slos

Node nonsidon_seq_k1_products: eigenvalue_products

Node nonsidon_seq_k1_slos_circuit: slos

Node nonsidon_seq_k1_slos: slos

Node sidon_h8_k1_products: eigenvalue_products

Node sidon_h8_k1_slos_circuit: slos

Node sidon_h8_k1_slos: slos

Node sidon_h16_k1_products: eigenvalue_products

Node sidon_h16_k1_slos_circuit: slos

Node sidon_h16_k1_slos: slos

Node sidon_pow7_k1_products: eigenvalue_products

Node sidon_pow7_k1_slos_circuit: slos

Node sidon_pow7_k1_slos: slos

Node sidon_s6_k1_products: eigenvalue_products

Node sidon_s6_k1_slos_circuit: slos

Node sidon_s6_k1_slos: slos

Node sidon_s7_k1_products: eigenvalue_products

Node sidon_s7_k1_slos_circuit: slos

Node sidon_s7_k1_slos: slos

Node nonsidon_dense6_k1_products: eigenvalue_products

Node nonsidon_dense6_k1_slos_circuit: slos

Node nonsidon_dense6_k1_slos: slos

Node nonsidon_dense7_k1_products: eigenvalue_products

Node nonsidon_dense7_k1_slos_circuit: slos

Node nonsidon_dense7_k1_slos: slos

Node primes_s7_k1_products: eigenvalue_products

Node primes_s7_k1_slos_circuit: slos

Node primes_s7_k1_slos: slos

Node primes_s8_k1_products: eigenvalue_products

Node primes_s8_k1_slos_circuit: slos

Node primes_s8_k1_slos: slos

Node sidon_pow8_k1_products: eigenvalue_products

Node sidon_pow8_k1_slos_circuit: slos

Node sidon_pow8_k1_slos: slos

Node sidon_pow2_k1_compare: compare

Node nonsidon_seq_k1_compare: compare

Node sidon_h8_k1_compare: compare

Node sidon_h16_k1_compare: compare

Node sidon_pow7_k1_compare: compare

Node sidon_s6_k1_compare: compare

Node sidon_s7_k1_compare: compare

Node nonsidon_dense6_k1_compare: compare

Node nonsidon_dense7_k1_compare: compare

Node primes_s7_k1_compare: compare

Node primes_s8_k1_compare: compare

Node sidon_pow8_k1_compare: compare

Node sidon_pow2_k2_products: eigenvalue_products

Node sidon_pow2_k2_slos_circuit: slos

Node sidon_pow2_k2_slos: slos

Node nonsidon_seq_k2_products: eigenvalue_products

Node nonsidon_seq_k2_slos_circuit: slos

Node nonsidon_seq_k2_slos: slos

Node sidon_h8_k2_products: eigenvalue_products

Node sidon_h8_k2_slos_circuit: slos

Node sidon_h8_k2_slos: slos

Node sidon_h16_k2_products: eigenvalue_products

Node sidon_h16_k2_slos_circuit: slos

Node sidon_h16_k2_slos: slos

Node sidon_pow7_k2_products: eigenvalue_products

Node sidon_pow7_k2_slos_circuit: slos

Node sidon_pow7_k2_slos: slos

Node sidon_s6_k2_products: eigenvalue_products

Node sidon_s6_k2_slos_circuit: slos

Node sidon_s6_k2_slos: slos

Node sidon_s7_k2_products: eigenvalue_products

Node sidon_s7_k2_slos_circuit: slos

Node sidon_s7_k2_slos: slos

Node nonsidon_dense6_k2_products: eigenvalue_products

Node nonsidon_dense6_k2_slos_circuit: slos

Node nonsidon_dense6_k2_slos: slos

Node nonsidon_dense7_k2_products: eigenvalue_products

Node nonsidon_dense7_k2_slos_circuit: slos

Node nonsidon_dense7_k2_slos: slos

83 KiB

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