Two Qubit Local Equivalence

Classify this supported two-qubit operation by its bounded local-equivalence class and phase context.

RQM-operated service.

Version: 1.0.0 · Registry observed: 2026-08-23T20:01:22.843Z · current

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RQM-operated service

Price and connection

0.100000 USD per request, provider price. Supported Relay purchases add max(0.002 USDC, 5% of provider price). Your fresh quote supplies the exact total.

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Inputs and outputs

Input contract

{
  "$defs": {
    "TwoQubitOperation": {
      "additionalProperties": false,
      "properties": {
        "gate": {
          "enum": [
            "identity",
            "cx",
            "cz",
            "swap",
            "iswap"
          ],
          "title": "Gate",
          "type": "string"
        },
        "phase_radians": {
          "default": 0,
          "maximum": 6.283185307179586,
          "minimum": -6.283185307179586,
          "title": "Phase Radians",
          "type": "number"
        }
      },
      "required": [
        "gate"
      ],
      "title": "TwoQubitOperation",
      "type": "object"
    }
  },
  "additionalProperties": false,
  "properties": {
    "operation": {
      "$ref": "#/$defs/TwoQubitOperation"
    },
    "phase_context": {
      "enum": [
        "ignore_global_phase",
        "exact"
      ],
      "title": "Phase Context",
      "type": "string"
    }
  },
  "required": [
    "operation",
    "phase_context"
  ],
  "title": "LocalEquivalenceRequest",
  "type": "object"
}

Output contract

{
  "additionalProperties": false,
  "properties": {
    "outcome": {
      "const": "classified",
      "title": "Outcome",
      "type": "string"
    },
    "local_equivalence_class": {
      "enum": [
        "local",
        "cnot",
        "swap",
        "iswap"
      ],
      "title": "Local Equivalence Class",
      "type": "string"
    },
    "canonical_coordinates": {
      "maxItems": 3,
      "minItems": 3,
      "prefixItems": [
        {
          "type": "number"
        },
        {
          "type": "number"
        },
        {
          "type": "number"
        }
      ],
      "title": "Canonical Coordinates",
      "type": "array"
    },
    "global_phase_ignored": {
      "title": "Global Phase Ignored",
      "type": "boolean"
    },
    "invariant_signature": {
      "items": {
        "type": "number"
      },
      "title": "Invariant Signature",
      "type": "array"
    },
    "evidence_digest": {
      "pattern": "^[a-f0-9]{64}$",
      "title": "Evidence Digest",
      "type": "string"
    }
  },
  "required": [
    "outcome",
    "local_equivalence_class",
    "canonical_coordinates",
    "global_phase_ignored",
    "evidence_digest"
  ],
  "title": "LocalEquivalenceResult",
  "type": "object"
}

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