v1.5 Secure Cloud Service High-Performance Density Matrix & Choi Operator Analysis Engine.
Empirical execution metrics on Google Cloud Run production deployment:
| Dimension / Mode | Pipeline Target | Purity Score | Status Flag | Exec Time |
|---|---|---|---|---|
| 4x4 | Cirq Circuit (=0.05) | 92.40% | MAXIMAL ENTANGLEMENT | 0.14 s |
| 200x200 | Discrete Operator | 88.15% | MAXIMAL ENTANGLEMENT | 0.28 s |
| 1000x1000 | High-Dim Matrix | 76.40% | DEGRADED MIXED STATE | 0.95 s |
| 2000x2000 | High-Dim Benchmark | 64.10% | DEGRADED MIXED STATE | 2.12 s |
| 5000x5000 | Max Limit Matrix | 52.80% | DEGRADED MIXED STATE | 6.45 s |
| Continuous | Optical Wavefront | 81.20% | COHERENT BEAM | 0.32 s |
2000x2000 matrices processed with full diagnosis under 3 seconds on Google Cloud Run
Test a 4x4 density matrix (Bell state example) directly against the backend pipeline:
import requests
API_URL = "https://quantum-engine-api-730441989527.us-central1.run.app/analyze"
payload = {
"real_matrix": [[0.5, 0, 0, 0.5], [0, 0, 0, 0], [0, 0, 0, 0], [0.5, 0, 0, 0.5]],
"imag_matrix": [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]
}
headers = {"Content-Type": "application/json"}
response = requests.post(API_URL, json=payload, headers=headers)
print(response.json())
| Metric Name | Mathematical Basis | Purpose |
|---|---|---|
purity | Tr() | Quantifies mixedness vs purity |
von_neumann_entropy | S() = -Tr( log ) | Information entropy / mixedness |
fidelity_to_maximally_mixed | F(, ) | Coherence check against baseline |
concurrence | Spin-flip metric | 2-Qubit entanglement quantification |
is_choi_matrix | CPTP verification | Process tomography / channel detection |
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