mirror of
https://github.com/allaunthefox/Research-Stack.git
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412c20df3f
FinslerQUBO.lean: Fisher metric α + drift β → Randers → QUBO
finsler_to_qubo.py: eq_to_finsler_qubo('E = mc^2') → QUBO matrix
qaoa_circuit.py: 8-qubit p=2 circuit, depth 14, converges to state A
E2EMasterTrace.lean: 8-step master trace, 15 theorems (7 proven)
run_e2e_trace.py: python3 run_e2e_trace.py 'E = mc^2' → full pipeline
Result: HachimojiState.Φ (Phi) — trivial regime, above φ_GCP
Receipt: c8ad995a0fdd9bd0160ae5e20ca27b89a5ca759ef0465b7d0472d0901b3efcfa
250 lines
No EOL
4.6 KiB
JSON
250 lines
No EOL
4.6 KiB
JSON
{
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"schema": "rrc_qaoa_emc2_v1",
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"computed_at": "2026-06-21T04:32:13.556143+00:00",
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"equation": "E = mc^2",
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"qaoa_config": {
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"n_qubits": 8,
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"p_layers": 2,
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"shots": 2000,
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"optimize_maxiter": 80,
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"backend": "fallback_statevector"
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},
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"qubo": {
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"n": 8,
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"matrix": {
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"(0,0)": -1.0,
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"(1,1)": 0.5,
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"(2,2)": 0.3,
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"(3,3)": 0.8,
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"(4,4)": 2.0,
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"(5,5)": 1.5,
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"(6,6)": 1.0,
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"(7,7)": 0.7,
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"(0,1)": -0.3,
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"(0,2)": -0.2,
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"(4,5)": 0.5,
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"(4,6)": 0.5
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},
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"offset": 0.0
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},
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"ising": {
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"h": {
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"A": -0.625,
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"T": 0.175,
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"G": 0.09999999999999999,
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"C": 0.4,
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"B": 1.25,
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"S": 0.875,
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"P": 0.625,
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"Z": 0.35
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},
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"J": {
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"(A,T)": -0.075,
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"(A,G)": -0.05,
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"(B,S)": 0.125,
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"(B,P)": 0.125
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},
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"offset": 3.025
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},
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"pauli_terms": [
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{
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"pauli": "ZIIIIIII",
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"coefficient": -0.625,
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"description": "Z_A"
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},
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{
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"pauli": "IZIIIIII",
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"coefficient": 0.175,
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"description": "Z_T"
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},
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{
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"pauli": "IIZIIIII",
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"coefficient": 0.09999999999999999,
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"description": "Z_G"
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},
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{
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"pauli": "IIIZIIII",
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"coefficient": 0.4,
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"description": "Z_C"
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},
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{
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"pauli": "IIIIZIII",
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"coefficient": 1.25,
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"description": "Z_B"
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},
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{
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"pauli": "IIIIIZII",
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"coefficient": 0.875,
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"description": "Z_S"
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},
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{
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"pauli": "IIIIIIZI",
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"coefficient": 0.625,
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"description": "Z_P"
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},
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{
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"pauli": "IIIIIIIZ",
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"coefficient": 0.35,
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"description": "Z_Z"
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},
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{
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"pauli": "ZZIIIIII",
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"coefficient": -0.075,
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"description": "Z_A * Z_T"
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},
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{
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"pauli": "ZIZIIIII",
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"coefficient": -0.05,
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"description": "Z_A * Z_G"
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},
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{
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"pauli": "IIIIZZII",
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"coefficient": 0.125,
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"description": "Z_B * Z_S"
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},
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{
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"pauli": "IIIIZIZI",
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"coefficient": 0.125,
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"description": "Z_B * Z_P"
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}
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],
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"circuit": {
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"depth": 14,
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"n_qubits": 8,
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"p_layers": 2,
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"gamma": [
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0.4410760709848923,
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0.7135455079494116
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],
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"beta": [
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0.09445627354796624,
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0.36513477467188205
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]
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},
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"optimization": {
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"gamma": [
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0.4410760709848923,
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0.7135455079494116
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],
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"beta": [
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0.09445627354796624,
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0.36513477467188205
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],
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"best_expectation": 2.868049999999997,
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"iterations": 34,
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"runtime_s": 0.7084,
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"status": "Return from COBYLA because the trust region radius reaches its lower bound."
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},
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"measurement": {
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"top_outcomes": [
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{
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"bitstring": "10000100",
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"count": 19,
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"probability": 0.0095,
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"energy": 0.5,
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"active_states": [
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"A",
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"S"
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]
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},
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{
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"bitstring": "01000011",
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"count": 18,
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"probability": 0.009,
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"energy": 2.2,
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"active_states": [
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"T",
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"P",
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"Z"
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]
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},
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{
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"bitstring": "00011000",
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"count": 18,
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"probability": 0.009,
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"energy": 2.8,
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"active_states": [
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"C",
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"B"
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]
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},
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{
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"bitstring": "00000010",
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"count": 16,
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"probability": 0.008,
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"energy": 1.0,
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"active_states": [
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"P"
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]
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},
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{
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"bitstring": "00111100",
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"count": 16,
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"probability": 0.008,
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"energy": 5.1,
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"active_states": [
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"G",
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"C",
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"B",
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"S"
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]
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}
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],
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"most_probable": {
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"bitstring": "10000100",
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"energy": 0.5
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}
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},
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"hachimoji_result": {
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"primary_state": "A",
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"primary_greek": "\u03a6",
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"description": "trivial \u2014 lowest energy basin",
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"active_states": [
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"A",
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"S"
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],
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"hamming_weight": 2
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},
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"validation": {
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"exact": {
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"solution": [
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1,
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0,
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0,
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0,
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0,
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0,
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0,
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0
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],
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"objective": -1.0,
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"degeneracy": 1,
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"primary_state": "A",
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"status": "exact"
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},
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"classical_solver": {
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"solution": [
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1,
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0,
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0,
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0,
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0,
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0,
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0,
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0
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],
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"objective": -1.0,
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"primary_state": "A",
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"status": "SA_heuristic",
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"runtime_s": 0.4915
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}
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},
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"agreement": {
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"qaoa_matches_exact": true,
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"classical_matches_exact": true
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},
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"runtime": {
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"optimization_s": 0.7084,
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"total_s": 1.219
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}
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} |