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Two Qubit Local Equivalence

quantum_two_qubit_local_equivalence_v1
Idempotent

Problem: Classify this supported two-qubit operation by its bounded local-equivalence class and phase context. Input: JSON with operation, phase context. Result: local-equivalence class, canonical coordinates, explicit phase treatment. Limits: Local software evidence only; 2 qubits.

Input Schema

NameRequiredDescriptionDefault
requestYes
schema_versionYes
idempotency_keyYes
max_total_priceYes

Output Schema

NameRequiredDescriptionDefault

No arguments

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed1 schema field changed
    • changedOutput schema / anyOf
      Previous value: -[
-  {
-    "additionalProperties": false,
-    "properties": {
-      "capability_id": {
-        "maxLength": 128,
-        "minLength": 1,
-        "pattern": "^[a-z0-9][a-z0-9._-]*$",
-        "type": "string"
-      },
-      "capability_version": {
-        "maxLength": 64,
-        "minLength": 1,
-        "type": "string"
-      },
-      "catalog_digest": {
-        "pattern": "^[a-f0-9]{64}$",
-        "type": "string"
-      },
-      "catalog_revision": {
-        "maxLength": 128,
-        "minLength": 1,
-        "type": "string"
-      },
-      "commercial_state": {
-        "maxLength": 64,
-        "minLength": 1,
-        "type": "string"
-      },
-      "duplicate": {
-        "type": "boolean"
-      },
-      "job_id": {
-        "maxLength": 256,
-        "minLength": 1,
-        "type": "string"
-      },
-      "payment_rail": {
-        "const": "x402",
-        "type": "string"
-      },
-      "price": {
-        "pattern": "^(?:0|[1-9]\\d{0,13})(?:\\.\\d{1,6})?$",
-        "type": "string"
-      },
-      "product": {
-        "enum": [
-          "wave",
-          "quantum",
-          "robotics"
-        ],
-        "type": "string"
-      },
-      "quote_id": {
-        "format": "uuid",
-        "pattern": "^([0-9a-fA-F]{8}-[0-9a-fA-F]{4}-[1-8][0-9a-fA-F]{3}-[89abAB][0-9a-fA-F]{3}-[0-9a-fA-F]{12}|00000000-0000-0000-0000-000000000000|ffffffff-ffff-ffff-ffff-ffffffffffff)$",
-        "type": "string"
-      },
-      "request_hash": {
-        "pattern": "^[a-f0-9]{64}$",
-        "type": "string"
-      },
-      "request_schema_version": {
-        "maxLength": 128,
-        "minLength": 1,
-        "type": "string"
-      },
-      "reservation_id": {
-        "format": "uuid",
-        "pattern": "^([0-9a-fA-F]{8}-[0-9a-fA-F]{4}-[1-8][0-9a-fA-F]{3}-[89abAB][0-9a-fA-F]{3}-[0-9a-fA-F]{12}|00000000-0000-0000-0000-000000000000|ffffffff-ffff-ffff-ffff-ffffffffffff)$",
-        "type": "string"
-      },
-      "retrieval_token": {
-        "pattern": "^rqm_retrieval_.*",
-        "type": "string"
-      },
-      "retrieval_token_expires_in": {
-        "exclusiveMinimum": 0,
-        "maximum": 9007199254740991,
-        "type": "integer"
-      },
-      "retrieval_url": {
-        "format": "uri",
-        "type": "string"
-      },
-      "schema_version": {
-        "const": "rqm.jobs.buyer-job-run.v1",
-        "type": "string"
-      },
-      "status": {
-        "enum": [
-          "queued",
-          "running",
-          "completed",
-          "failed",
-          "cancelled",
-          "recovery"
-        ],
-        "type": "string"
-      },
-      "tariff_version": {
-        "maxLength": 64,
-        "minLength": 1,
-        "type": "string"
-      },
-      "x402_settlement_id": {
-        "format": "uuid",
-        "pattern": "^([0-9a-fA-F]{8}-[0-9a-fA-F]{4}-[1-8][0-9a-fA-F]{3}-[89abAB][0-9a-fA-F]{3}-[0-9a-fA-F]{12}|00000000-0000-0000-0000-000000000000|ffffffff-ffff-ffff-ffff-ffffffffffff)$",
-        "type": "string"
-      },
-      "x402_transaction_id": {
-        "maxLength": 256,
-        "minLength": 1,
-        "type": "string"
-      }
-    },
-    "required": [
-      "schema_version",
-      "product",
-      "capability_id",
-      "capability_version",
-      "request_schema_version",
-      "catalog_revision",
-      "catalog_digest",
-      "request_hash",
-      "job_id",
-      "status",
-      "quote_id",
-      "reservation_id",
-      "commercial_state",
-      "payment_rail",
-      "price",
-      "tariff_version",
-      "x402_settlement_id",
-      "x402_transaction_id",
-      "retrieval_token",
-      "retrieval_token_expires_in",
-      "duplicate"
-    ],
-    "type": "object"
-  },
-  {
-    "additionalProperties": false,
-    "properties": {
-      "code": {
-        "enum": [
-          "AUTHENTICATION_REQUIRED",
-          "MACHINE_AUTHENTICATION_FAILED",
-          "MACHINE_AUTHORIZATION_FAILED",
-          "ACCOUNT_CORE_UNAVAILABLE",
-          "FEATURE_DISABLED",
-          "QUOTE_NOT_ENTITLED",
-          "QUOTE_IDEMPOTENCY_CONFLICT",
-          "QUOTE_NOT_AVAILABLE",
-          "QUOTE_REQUEST_INVALID",
-          "QUOTE_MISMATCH",
-          "PRICE_LIMIT_EXCEEDED",
-          "RUNTIME_LIMIT_EXCEEDED",
-          "ARTIFACT_PREFERENCE_UNAVAILABLE",
-          "INSUFFICIENT_BALANCE",
-          "RESERVATION_FAILED",
-          "PRODUCT_REJECTED",
-          "PRODUCT_UNAVAILABLE",
-          "JOB_NOT_FOUND",
-          "JOB_NOT_READY",
-          "JOB_ACCESS_DENIED",
-          "SETTLEMENT_FAILED",
-          "FUNDING_UNAVAILABLE",
-          "FUNDING_FAILED"
-        ],
-        "type": "string"
-      },
-      "message": {
-        "type": "string"
-      },
-      "retryable": {
-        "type": "boolean"
-      },
-      "schema_version": {
-        "const": "rqm.jobs.error.v1",
-        "type": "string"
-      }
-    },
-    "required": [
-      "schema_version",
-      "code",
-      "message",
-      "retryable"
-    ],
-    "type": "object"
-  }
-]New value: +[
+  {
+    "additionalProperties": false,
+    "properties": {
+      "capability_id": {
+        "maxLength": 128,
+        "minLength": 1,
+        "pattern": "^[a-z0-9][a-z0-9._-]*$",
+        "type": "string"
+      },
+      "capability_version": {
+        "maxLength": 64,
+        "minLength": 1,
+        "type": "string"
+      },
+      "catalog_digest": {
+        "pattern": "^[a-f0-9]{64}$",
+        "type": "string"
+      },
+      "catalog_revision": {
+        "maxLength": 128,
+        "minLength": 1,
+        "type": "string"
+      },
+      "commercial_state": {
+        "maxLength": 64,
+        "minLength": 1,
+        "type": "string"
+      },
+      "duplicate": {
+        "type": "boolean"
+      },
+      "job_id": {
+        "maxLength": 256,
+        "minLength": 1,
+        "type": "string"
+      },
+      "payment_rail": {
+        "const": "x402",
+        "type": "string"
+      },
+      "price": {
+        "pattern": "^(?:0|[1-9]\\d{0,13})(?:\\.\\d{1,6})?$",
+        "type": "string"
+      },
+      "product": {
+        "enum": [
+          "wave",
+          "quantum",
+          "robotics"
+        ],
+        "type": "string"
+      },
+      "quote_id": {
+        "format": "uuid",
+        "pattern": "^([0-9a-fA-F]{8}-[0-9a-fA-F]{4}-[1-8][0-9a-fA-F]{3}-[89abAB][0-9a-fA-F]{3}-[0-9a-fA-F]{12}|00000000-0000-0000-0000-000000000000|ffffffff-ffff-ffff-ffff-ffffffffffff)$",
+        "type": "string"
+      },
+      "request_hash": {
+        "pattern": "^[a-f0-9]{64}$",
+        "type": "string"
+      },
+      "request_schema_version": {
+        "maxLength": 128,
+        "minLength": 1,
+        "type": "string"
+      },
+      "reservation_id": {
+        "format": "uuid",
+        "pattern": "^([0-9a-fA-F]{8}-[0-9a-fA-F]{4}-[1-8][0-9a-fA-F]{3}-[89abAB][0-9a-fA-F]{3}-[0-9a-fA-F]{12}|00000000-0000-0000-0000-000000000000|ffffffff-ffff-ffff-ffff-ffffffffffff)$",
+        "type": "string"
+      },
+      "retrieval_token": {
+        "format": "starts_with",
+        "pattern": "^rqm_retrieval_.*",
+        "type": "string"
+      },
+      "retrieval_token_expires_in": {
+        "exclusiveMinimum": 0,
+        "maximum": 9007199254740991,
+        "type": "integer"
+      },
+      "retrieval_url": {
+        "format": "uri",
+        "type": "string"
+      },
+      "schema_version": {
+        "const": "rqm.jobs.buyer-job-run.v1",
+        "type": "string"
+      },
+      "status": {
+        "enum": [
+          "queued",
+          "running",
+          "completed",
+          "failed",
+          "cancelled",
+          "recovery"
+        ],
+        "type": "string"
+      },
+      "tariff_version": {
+        "maxLength": 64,
+        "minLength": 1,
+        "type": "string"
+      },
+      "x402_settlement_id": {
+        "format": "uuid",
+        "pattern": "^([0-9a-fA-F]{8}-[0-9a-fA-F]{4}-[1-8][0-9a-fA-F]{3}-[89abAB][0-9a-fA-F]{3}-[0-9a-fA-F]{12}|00000000-0000-0000-0000-000000000000|ffffffff-ffff-ffff-ffff-ffffffffffff)$",
+        "type": "string"
+      },
+      "x402_transaction_id": {
+        "maxLength": 256,
+        "minLength": 1,
+        "type": "string"
+      }
+    },
+    "required": [
+      "schema_version",
+      "product",
+      "capability_id",
+      "capability_version",
+      "request_schema_version",
+      "catalog_revision",
+      "catalog_digest",
+      "request_hash",
+      "job_id",
+      "status",
+      "quote_id",
+      "reservation_id",
+      "commercial_state",
+      "payment_rail",
+      "price",
+      "tariff_version",
+      "x402_settlement_id",
+      "x402_transaction_id",
+      "retrieval_token",
+      "retrieval_token_expires_in",
+      "duplicate"
+    ],
+    "type": "object"
+  },
+  {
+    "additionalProperties": false,
+    "properties": {
+      "code": {
+        "enum": [
+          "AUTHENTICATION_REQUIRED",
+          "MACHINE_AUTHENTICATION_FAILED",
+          "MACHINE_AUTHORIZATION_FAILED",
+          "ACCOUNT_CORE_UNAVAILABLE",
+          "FEATURE_DISABLED",
+          "QUOTE_NOT_ENTITLED",
+          "QUOTE_IDEMPOTENCY_CONFLICT",
+          "QUOTE_NOT_AVAILABLE",
+          "QUOTE_REQUEST_INVALID",
+          "QUOTE_MISMATCH",
+          "PRICE_LIMIT_EXCEEDED",
+          "RUNTIME_LIMIT_EXCEEDED",
+          "ARTIFACT_PREFERENCE_UNAVAILABLE",
+          "INSUFFICIENT_BALANCE",
+          "RESERVATION_FAILED",
+          "PRODUCT_REJECTED",
+          "PRODUCT_UNAVAILABLE",
+          "JOB_NOT_FOUND",
+          "JOB_NOT_READY",
+          "JOB_ACCESS_DENIED",
+          "SETTLEMENT_FAILED",
+          "FUNDING_UNAVAILABLE",
+          "FUNDING_FAILED"
+        ],
+        "type": "string"
+      },
+      "message": {
+        "type": "string"
+      },
+      "retryable": {
+        "type": "boolean"
+      },
+      "schema_version": {
+        "const": "rqm.jobs.error.v1",
+        "type": "string"
+      }
+    },
+    "required": [
+      "schema_version",
+      "code",
+      "message",
+      "retryable"
+    ],
+    "type": "object"
+  }
+]
  2. First observed

TDQS

B3/5.0
Behavior3/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

The annotations already disclose that the tool is not read-only, is idempotent, and is not destructive or open-world. The description adds useful behavioral context by naming the result contents and local-only two-qubit scope, but it does not explain the apparent job/payment semantics implied by max_total_price, the idempotency key, or whether execution is asynchronous.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is compact and front-loaded, organized as Problem, Input, Result, and Limits. Each clause carries relevant information without repetition or filler.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

The tool has a complex nested schema, four required parameters, and payment-related fields, while the description covers only the broad operation and phase-context inputs. Because an output schema exists, return-value documentation is less necessary, but the description still omits critical invocation context such as pricing and idempotency semantics.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters2/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0% for four required parameters. The description mentions only operation and phase context as inputs, leaving schema_version, idempotency_key, max_total_price, and the nested request envelope effectively undocumented in prose. This is a meaningful gap for a tool whose schema already uses a generic request object.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description gives a specific verb and resource: classify a supported two-qubit operation by bounded local-equivalence class and phase context. It is clearly scoped by operation type and qubit count, though it does not explicitly distinguish itself from close siblings such as classify_two_qubit_operation or quantum_supported_circuit_equivalence_v1.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description states the input domain and limit (two qubits, local software evidence only), which implies when it is applicable. However, it gives no guidance on when to choose this tool over the closely related classification or equivalence siblings, and it names no alternatives or exclusions beyond the two-qubit limit.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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