Overview

A quantum-tensor algebra conformance agent needs the complete complex SLOCC entanglement class of a supplied unnormalized pure three-qubit tensor, including all three distinct biseparable classes and nonstabilizer W states, with exact invariants. A Clifford Pauli measurement or numerical state norm cannot classify these tensors.

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Indexed 2026-11-02 17:26:22

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Input Schema

{ "body": { "artifact": { "slocc": { "amplitudes": [ 0, 0, 1, 1, 0, 0, 0, 0 ], "claim": { "cayley_hyperdeterminant": "0", "class": "A_separable", "flattening_ranks": [ 1, 1, 1 ] } } } }, "bodyType": "json", "method": "POST", "type": "http" }

Output Schema

{ "example": { "billable": true, "findings": [ { "confidence": 95, "evidence": [ { "page_indices": [], "page_url": null, "pattern": "three-qubit-pure-state-complete-complex-slocc-classification_scoped_evidence", "type": "artifact" } ], "limits": [ "Unnormalized nonzero pure state amplitudes a000..a111,8 exact integers absolute≤8. Qubit order A most significant, then B,C. Classification over C; negative real hyperdeterminant remains GHZ, no additional real-SLOCC sign class.", "A_separable means A|BC with BC entangled, and analogously B,C. Hyperdeterminant is the unnormalized Cayley polynomial, not normalized three-tangle or a probability. Zero tensor, mixed states, incomplete measurements, complex-number encodings and physical device claims unsupported." ], "module": "three-qubit-pure-state-complete-complex-slocc-classification", "state": "observed", "value": { "cayley_hyperdeterminant": "0", "claim_matches": false, "class": "fully_separable", "flattening_ranks": [ 1, 1, 1 ] }, "warnings": [] } ], "known_count": 1, "scope": { "contact_values_returned": false, "network": false, "supplied_artifact_only": true }, "warnings": [] }, "type": "json" }