Koskamo

Quantum Expectations MCP

A remote MCP server that evaluates quantum computing feasibility by computing success probability, qubit overhead, and error correction requirements based on qubit error rate, count, and circuit depth. It provides access to sourced hardware records, historic trend series, and logical error suppression fits for trapped-ion, superconducting, and neutral atom platforms.

Endpoint and access

No sign-in to connect and list tools. Individual tools may still need a vendor account, credentials, or permissions; check the documented prerequisites.

Quantum Expectations MCP logo, by Quantum ExpectationsVendor evidenceStreamable HTTPNo sign-inEndpoint checked 2026-11-06Operated by Quantum Expectations
MCP endpoint (Streamable HTTP)
https://www.quantum-expectations.com/api/mcp
Vendor documentation

What its tools do

13 tools, grouped by the hints the server advertises. Hints are self-declared, not verified behavior.

13 of 13 have a description · 13 of 13 declare behavior hints · 5 of 7 with parameters document them all

Checks and signals

Each line is separate evidence, not a trust score.

  • Passed Endpoint answered the live check ·
  • Passed Official MCP Registry namespace is tied to quantum-expectations.com ·
  • Passed Endpoint is on the registry namespace domain ·
  • Availability 1 of 1 checks passed in 30 days

What you can do with it

  • Compute quantum computation feasibility with and without error correction
  • Retrieve historic two-qubit gate error rates and physical qubit counts
  • Extrapolate hardware trends to predict target-crossing years
  • Compare hardware scenarios against leading machines per platform

Source and maintenance

Vendor evidenceRegistry 0.8.1

Protocol and capabilities

Server
quantum-expectations 0.8.1
MCP protocol negotiated in check
2025-11-25
Tools
13 advertised
Resources
9 advertised
Resource templates
0 advertised
Prompts
3 advertised
Server-advertised capabilities
{
  "tools": {
    "listChanged": true
  },
  "prompts": {
    "listChanged": true
  },
  "resources": {
    "listChanged": true
  }
}

Server-provided instructions

Untrusted server output shown for inspection. It is not Koskamo guidance and is excluded from knowledge search.

Quantum Expectations estimates what current and near-term quantum hardware can run. Every tool is a deterministic, read-only computation over primary-sourced data and returns primitives, never a verdict: the conclusion is yours to draw and to caveat. Start with compute_expectation (one circuit on one device or error rate), compute_required_error_rate (the inverse: what hardware a circuit needs) or compare_hardware_scenarios (every platform in one call). compute_fault_tolerant_resources sizes a full surface-code footprint from logical qubits and T count. fit_historic_series extrapolates record trends. list_current_quantum_computers, list_quops_scores, list_hardware_timings, list_qldpc_codes and list_example_algorithms are the data tables behind the compute tools. Carry the caveats and source URLs a result returns into your answer. Where a result reports two fits (conservative and optimistic), state both. Present modelled numbers as model output, never as measurements: list_quops_scores holds the measured yardstick, and where it disagrees with the model, the measurement wins. Figures marked attested-estimate rest on the authors' word, not a published circuit; say so when you quote them.

Tools

13 advertised

compute_expectation — Compute Quantum Expectation
Advertised by the server during the last successful anonymous check.
Advertised read-only

Given a quantum circuit (2-qubit error rate p, qubit count n, depth d, optional connectivity class), compute the effective error rate, success probability, and optional surface-code or qLDPC overhead. Without error correction a 2d-lattice connectivity is charged as a routing multiplier on depth (result.routingOverheadFactor); hardwareId supplies the device's class automatically. The response is self-describing (formulas, assumptions, caveats, glossary, SOTA hardware, historic series with source URLs) so an agent can reason from one call. For the inverse ("what hardware do I need?") use compute_required_error_rate; to rank multiple platforms in one call use compare_hardware_scenarios.

compute_expectation input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "numQubits",
    "compDepth"
  ],
  "properties": {
    "verbose": {
      "type": "boolean",
      "default": true,
      "description": "When false, omits hardwareContext, formulas, assumptions, caveats, glossary, examples, and exampleProblems from the response — leaving only modelVersion, scenario, and result. Use for parameter sweeps where that context would repeat unchanged."
    },
    "compDepth": {
      "type": "integer",
      "maximum": 10000000000000,
      "minimum": 1
    },
    "numQubits": {
      "type": "integer",
      "maximum": 1000000,
      "minimum": 1
    },
    "hardwareId": {
      "enum": [
        "trapped-ion",
        "superconducting",
        "neutral-atom"
      ],
      "type": "string",
      "description": "Alias for qubitErrorRate: resolves to the 2-qubit error rate of the given SOTA hardware entry from list_current_quantum_computers. Use this, not a generic qubitErrorRate, whenever the question names a platform without stating its own error rate (superconducting, trapped-ion, neutral-atom). Supply exactly one of qubitErrorRate or hardwareId."
    },
    "connectivity": {
      "enum": [
        "all-to-all",
        "reconfigurable",
        "2d-lattice"
      ],
      "type": "string",
      "description": "Two-qubit connectivity of the device: \"all-to-all\" (ion transport), \"reconfigurable\" (atom shuttling, treated as all-to-all) or \"2d-lattice\" (fixed nearest-neighbour couplers, charged as a routing multiplier on depth in the no-EC path). Defaults to the hardware entry's class when hardwareId is supplied, else to all-to-all."
    },
    "qubitErrorRate": {
      "type": "number",
      "maximum": 0.1,
      "description": "Per-gate 2-qubit error rate p, in (0, 0.1]. Supply exactly one of qubitErrorRate or hardwareId.",
      "exclusiveMinimum": 0
    },
    "useErrorCorrection": {
      "type": "boolean",
      "default": false
    },
    "distanceSurfaceCode": {
      "type": "number",
      "description": "Surface code distance: odd integer in [3, 31]. Required when useErrorCorrection=true and the surface code is selected; ignored when a qLDPC code is selected."
    },
    "errorCorrectionCode": {
      "type": "string",
      "description": "Either \"surface\" (default when useErrorCorrection=true) or a qLDPC code id from list_qldpc_codes. \"surface-code\" is accepted as an alias for \"surface\"."
    }
  }
}
compute_expectation output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "modelVersion",
    "scenario",
    "result"
  ],
  "properties": {
    "result": {
      "type": "object",
      "required": [
        "effectiveErrorRate",
        "successProbability",
        "routingOverheadFactor",
        "routedDepth",
        "logicalErrorRatePerGate",
        "logicalErrorRatePerCycle",
        "physicalQubitsPerLogicalQubit",
        "totalPhysicalQubits"
      ],
      "properties": {
        "routedDepth": {
          "type": "number",
          "description": "compDepth after routing: the depth the effective-error formula consumed."
        },
        "effectiveErrorRate": {
          "type": "number",
          "description": "Probability that at least one gate fails over the (routed) circuit."
        },
        "successProbability": {
          "type": "number",
          "description": "1 - effectiveErrorRate."
        },
        "totalPhysicalQubits": {
          "type": [
            "number",
            "null"
          ]
        },
        "routingOverheadFactor": {
          "type": "number",
          "description": "Multiplier the connectivity class applied to compDepth (1 for all-to-all and reconfigurable)."
        },
        "logicalErrorRatePerGate": {
          "type": [
            "number",
            "null"
          ],
          "description": "Per-logical-qubit, per-logical-operation error rate; null without error correction."
        },
        "logicalErrorRatePerCycle": {
          "type": [
            "number",
            "null"
          ],
          "description": "Per-syndrome-cycle logical error rate as the calibration source reports it; null without error correction."
        },
        "minimumClockRuntimeSeconds": {
          "type": "number",
          "description": "Lower bound on wall-clock runtime; present only when hardwareId was supplied."
        },
        "physicalQubitsPerLogicalQubit": {
          "type": [
            "number",
            "null"
          ]
        }
      },
      "additionalProperties": {}
    },
    "caveats": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "examples": {
      "type": "array",
      "items": {}
    },
    "formulas": {
      "type": "object",
      "description": "Verbose only: formula specs keyed by name.",
      "propertyNames": {
        "type": "string"
      },
      "additionalProperties": {}
    },
    "glossary": {},
    "scenario": {
      "type": "object",
      "required": [
        "qubitErrorRate",
        "hardwareId",
        "connectivity",
        "numQubits",
        "compDepth",
        "useErrorCorrection",
        "distanceSurfaceCode",
        "errorCorrectionCode"
      ],
      "properties": {
        "compDepth": {
          "type": "number"
        },
        "numQubits": {
          "type": "number"
        },
        "hardwareId": {
          "type": [
            "string",
            "null"
          ],
          "description": "Non-null when qubitErrorRate was resolved from a current-hardware entry."
        },
        "connectivity": {
          "enum": [
            "all-to-all",
            "reconfigurable",
            "2d-lattice"
          ],
          "type": "string"
        },
        "qubitErrorRate": {
          "type": "number"
        },
        "useErrorCorrection": {
          "type": "boolean"
        },
        "distanceSurfaceCode": {
          "type": [
            "number",
            "null"
          ]
        },
        "errorCorrectionCode": {
          "type": [
            "string",
            "null"
          ]
        }
      },
      "additionalProperties": {}
    },
    "assumptions": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "methodology": {},
    "modelVersion": {
      "type": "string",
      "description": "Noise-model version; bumps when a formula or constant changes."
    },
    "exampleProblems": {
      "type": "array",
      "items": {}
    },
    "hardwareContext": {
      "type": "object",
      "properties": {},
      "description": "Verbose only: current hardware, record series, timings, measured QUOPS scores.",
      "additionalProperties": {}
    },
    "exampleProblemProvenance": {}
  },
  "additionalProperties": {}
}
compute_expectation annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
compute_required_error_rate — Compute Required Error Rate (Inverse)
Advertised by the server during the last successful anonymous check.
Advertised read-only

Inverse of compute_expectation. Given a circuit (numQubits, compDepth) and an acceptable effective error rate, return the required per-gate logical error rate (requiredLogicalErrorRatePerGate: a number, or null only when the target is genuinely unreachable; never 0) and, for every EC option (no-EC, surface-code per distance, every qLDPC code), the required physical error rate plus the subset of current SOTA hardware that already qualifies. An option whose inverse lands above the code threshold is capped at min(MAX_P, threshold) and carries a `note` (any sub-threshold p satisfies it); `unreachableReason` is reserved for genuinely unreachable options. Answers "what hardware do I need to run this algorithm?".

compute_required_error_rate input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "numQubits",
    "compDepth",
    "acceptableErrorRatePercent"
  ],
  "properties": {
    "compDepth": {
      "type": "integer",
      "maximum": 10000000000000,
      "minimum": 1,
      "description": "Circuit depth d (sequential 2-qubit gate layers). Accepts values up to 1e13."
    },
    "numQubits": {
      "type": "integer",
      "maximum": 1000000,
      "minimum": 1,
      "description": "Number of logical qubits n in the circuit."
    },
    "acceptableErrorRatePercent": {
      "type": "number",
      "maximum": 100,
      "description": "Upper bound on the effective error rate, as a percent. Default website convention is 33 (i.e. ≤33% effective error is \"acceptable\").",
      "exclusiveMinimum": 0
    }
  }
}
compute_required_error_rate output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "scenario",
    "requiredLogicalErrorRatePerGate",
    "noEC",
    "surfaceCode",
    "qldpcCodes",
    "formulas",
    "assumptions",
    "caveats"
  ],
  "properties": {
    "noEC": {
      "type": "object",
      "required": [
        "optionId",
        "label",
        "requiredPhysicalErrorRate",
        "physicalQubitsPerLogicalQubit",
        "totalPhysicalQubits",
        "qualifyingHardware"
      ],
      "properties": {
        "note": {
          "type": "string",
          "description": "Present when requiredPhysicalErrorRate is a threshold cap rather than an exact inversion."
        },
        "label": {
          "type": "string"
        },
        "optionId": {
          "type": "string",
          "description": "\"no-ec\", \"surface-d<odd distance>\", or a qLDPC code id."
        },
        "unreachableReason": {
          "type": "string"
        },
        "qualifyingHardware": {
          "type": "array",
          "items": {
            "type": "object",
            "required": [
              "id",
              "hardwareType",
              "errorRate",
              "physicalQubits"
            ],
            "properties": {
              "id": {
                "type": "string"
              },
              "errorRate": {
                "type": "number"
              },
              "hardwareType": {
                "type": "string"
              },
              "physicalQubits": {
                "type": "integer",
                "maximum": 9007199254740991,
                "minimum": -9007199254740991
              }
            },
            "additionalProperties": {}
          },
          "description": "Current-hardware entries whose errorRate already meets requiredPhysicalErrorRate."
        },
        "totalPhysicalQubits": {
          "type": [
            "number",
            "null"
          ]
        },
        "requiredPhysicalErrorRate": {
          "type": [
            "number",
            "null"
          ],
          "description": "Physical per-gate error rate the hardware must reach; null when the option can never satisfy the target."
        },
        "physicalQubitsPerLogicalQubit": {
          "type": [
            "number",
            "null"
          ]
        }
      },
      "additionalProperties": {}
    },
    "caveats": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "formulas": {
      "type": "object",
      "required": [
        "inverseEffectiveError",
        "inverseSurfaceCode",
        "inverseQLDPC"
      ],
      "properties": {
        "inverseQLDPC": {
          "type": "string"
        },
        "inverseSurfaceCode": {
          "type": "string"
        },
        "inverseEffectiveError": {
          "type": "string"
        }
      },
      "additionalProperties": {}
    },
    "scenario": {
      "type": "object",
      "required": [
        "numQubits",
        "compDepth",
        "acceptableErrorRatePercent"
      ],
      "properties": {
        "compDepth": {
          "type": "number"
        },
        "numQubits": {
          "type": "number"
        },
        "acceptableErrorRatePercent": {
          "type": "number"
        }
      },
      "additionalProperties": {}
    },
    "qldpcCodes": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "optionId",
          "label",
          "requiredPhysicalErrorRate",
          "physicalQubitsPerLogicalQubit",
          "totalPhysicalQubits",
          "qualifyingHardware"
        ],
        "properties": {
          "note": {
            "type": "string",
            "description": "Present when requiredPhysicalErrorRate is a threshold cap rather than an exact inversion."
          },
          "label": {
            "type": "string"
          },
          "optionId": {
            "type": "string",
            "description": "\"no-ec\", \"surface-d<odd distance>\", or a qLDPC code id."
          },
          "unreachableReason": {
            "type": "string"
          },
          "qualifyingHardware": {
            "type": "array",
            "items": {
              "type": "object",
              "required": [
                "id",
                "hardwareType",
                "errorRate",
                "physicalQubits"
              ],
              "properties": {
                "id": {
                  "type": "string"
                },
                "errorRate": {
                  "type": "number"
                },
                "hardwareType": {
                  "type": "string"
                },
                "physicalQubits": {
                  "type": "integer",
                  "maximum": 9007199254740991,
                  "minimum": -9007199254740991
                }
              },
              "additionalProperties": {}
            },
            "description": "Current-hardware entries whose errorRate already meets requiredPhysicalErrorRate."
          },
          "totalPhysicalQubits": {
            "type": [
              "number",
              "null"
            ]
          },
          "requiredPhysicalErrorRate": {
            "type": [
              "number",
              "null"
            ],
            "description": "Physical per-gate error rate the hardware must reach; null when the option can never satisfy the target."
          },
          "physicalQubitsPerLogicalQubit": {
            "type": [
              "number",
              "null"
            ]
          }
        },
        "additionalProperties": {}
      },
      "description": "One option per cataloged qLDPC code."
    },
    "assumptions": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "surfaceCode": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "optionId",
          "label",
          "requiredPhysicalErrorRate",
          "physicalQubitsPerLogicalQubit",
          "totalPhysicalQubits",
          "qualifyingHardware"
        ],
        "properties": {
          "note": {
            "type": "string",
            "description": "Present when requiredPhysicalErrorRate is a threshold cap rather than an exact inversion."
          },
          "label": {
            "type": "string"
          },
          "optionId": {
            "type": "string",
            "description": "\"no-ec\", \"surface-d<odd distance>\", or a qLDPC code id."
          },
          "unreachableReason": {
            "type": "string"
          },
          "qualifyingHardware": {
            "type": "array",
            "items": {
              "type": "object",
              "required": [
                "id",
                "hardwareType",
                "errorRate",
                "physicalQubits"
              ],
              "properties": {
                "id": {
                  "type": "string"
                },
                "errorRate": {
                  "type": "number"
                },
                "hardwareType": {
                  "type": "string"
                },
                "physicalQubits": {
                  "type": "integer",
                  "maximum": 9007199254740991,
                  "minimum": -9007199254740991
                }
              },
              "additionalProperties": {}
            },
            "description": "Current-hardware entries whose errorRate already meets requiredPhysicalErrorRate."
          },
          "totalPhysicalQubits": {
            "type": [
              "number",
              "null"
            ]
          },
          "requiredPhysicalErrorRate": {
            "type": [
              "number",
              "null"
            ],
            "description": "Physical per-gate error rate the hardware must reach; null when the option can never satisfy the target."
          },
          "physicalQubitsPerLogicalQubit": {
            "type": [
              "number",
              "null"
            ]
          }
        },
        "additionalProperties": {}
      },
      "description": "One option per odd surface-code distance."
    },
    "requiredLogicalErrorRatePerGate": {
      "type": [
        "number",
        "null"
      ],
      "description": "Per-gate logical error rate every option must deliver; null only when the target is unreachable, never 0."
    }
  },
  "additionalProperties": {}
}
compute_required_error_rate annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
compute_fault_tolerant_resources — Compute Fault-Tolerant Resources
Advertised by the server during the last successful anonymous check.
Advertised read-only

Given an algorithm stated as (numLogicalQubits, tCount) and a physical error rate (or hardwareId), derive the full surface-code + magic-state-distillation footprint from the general laws of the Litinski lattice-surgery cost model (no per-scenario constants): distillation factory choice, tile layout, required code distance, total physical qubits, and wall-clock time. Results are reported under TWO published logical-error fits (conservative + optimistic) because they disagree by 13-268x (d=7 to d=25) - always state both. Returns an explicit `infeasible` block when no cataloged factory or code distance can satisfy the error budget. Computes numbers only: comparing against classical alternatives and concluding "should this run on a quantum computer" stays with you, the calling agent (state the caveats when you do).

compute_fault_tolerant_resources input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "numLogicalQubits",
    "tCount"
  ],
  "properties": {
    "tCount": {
      "type": "integer",
      "maximum": 10000000000000,
      "minimum": 1,
      "description": "Total number of T gates (magic states consumed). Convention: state Toffoli-counted algorithms in T gates before calling (1 Toffoli ≈ 4–7 T depending on decomposition)."
    },
    "dataBlock": {
      "enum": [
        "compact",
        "intermediate",
        "fast"
      ],
      "type": "string",
      "default": "compact",
      "description": "Data-block layout (Litinski §2): compact = fewest qubits, fast = shortest time per T gate."
    },
    "hardwareId": {
      "enum": [
        "trapped-ion",
        "superconducting",
        "neutral-atom"
      ],
      "type": "string",
      "description": "Alias for qubitErrorRate: resolves to the 2-qubit error rate of the given SOTA hardware entry from list_current_quantum_computers. Use this, not a generic qubitErrorRate such as 0.001, whenever the question names a platform without stating its own error rate (superconducting, trapped-ion, neutral-atom). Supply exactly one of qubitErrorRate or hardwareId."
    },
    "qubitErrorRate": {
      "type": "number",
      "maximum": 0.1,
      "description": "Physical 2-qubit error rate p in (0, 0.1]. Supply exactly one of qubitErrorRate or hardwareId.",
      "exclusiveMinimum": 0
    },
    "cycleTimeSeconds": {
      "type": "number",
      "default": 0.000001,
      "maximum": 1,
      "description": "Surface-code cycle time in seconds. Default 1 µs (Litinski convention; Google 2024 measured 1.1 µs on superconducting hardware). Trapped-ion/neutral-atom cycles are orders of magnitude slower.",
      "exclusiveMinimum": 0
    },
    "numLogicalQubits": {
      "type": "integer",
      "maximum": 1000000,
      "minimum": 1,
      "description": "Number of logical data qubits the algorithm needs."
    },
    "targetSuccessProbability": {
      "type": "number",
      "default": 0.98,
      "description": "Target end-to-end success probability. The failure budget (1 − target) is split evenly between T-state error and logical (memory/surgery) error, matching Litinski §4.",
      "exclusiveMaximum": 1,
      "exclusiveMinimum": 0
    }
  }
}
compute_fault_tolerant_resources output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "scenario",
    "infeasible",
    "factory",
    "layout",
    "effectiveStepsPerTGate",
    "totalTimeSteps",
    "results",
    "formulas",
    "assumptions",
    "caveats",
    "sources"
  ],
  "properties": {
    "layout": {
      "anyOf": [
        {
          "type": "object",
          "required": [
            "dataBlockTiles",
            "factoryTiles",
            "storageTiles",
            "totalTiles"
          ],
          "properties": {
            "totalTiles": {
              "type": "number"
            },
            "factoryTiles": {
              "type": "number"
            },
            "storageTiles": {
              "type": "number"
            },
            "dataBlockTiles": {
              "type": "number"
            }
          },
          "additionalProperties": {}
        },
        {
          "type": "null"
        }
      ]
    },
    "caveats": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "factory": {
      "anyOf": [
        {
          "type": "object",
          "required": [
            "id",
            "tiles",
            "outputErrorRate",
            "successProbability",
            "stepsPerOutputState"
          ],
          "properties": {
            "id": {
              "type": "string"
            },
            "tiles": {
              "type": "number"
            },
            "outputErrorRate": {
              "type": "number"
            },
            "successProbability": {
              "type": "number"
            },
            "stepsPerOutputState": {
              "type": "number"
            }
          },
          "additionalProperties": {}
        },
        {
          "type": "null"
        }
      ]
    },
    "results": {
      "anyOf": [
        {
          "type": "object",
          "required": [
            "conservative",
            "optimistic"
          ],
          "properties": {
            "optimistic": {
              "type": "object",
              "required": [
                "fit",
                "distance",
                "physicalQubits",
                "wallClockSeconds",
                "errorBudget"
              ],
              "properties": {
                "fit": {
                  "enum": [
                    "litinski",
                    "repo"
                  ],
                  "type": "string"
                },
                "distance": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Required surface-code distance (odd); null when no cataloged distance suffices."
                },
                "errorBudget": {
                  "type": "object",
                  "required": [
                    "logicalContribution",
                    "tStateContribution",
                    "totalFailureUpperBound"
                  ],
                  "properties": {
                    "tStateContribution": {
                      "type": "number"
                    },
                    "logicalContribution": {
                      "type": [
                        "number",
                        "null"
                      ]
                    },
                    "totalFailureUpperBound": {
                      "type": [
                        "number",
                        "null"
                      ]
                    }
                  },
                  "additionalProperties": {}
                },
                "physicalQubits": {
                  "type": [
                    "number",
                    "null"
                  ]
                },
                "wallClockSeconds": {
                  "type": [
                    "number",
                    "null"
                  ]
                },
                "unreachableReason": {
                  "type": "string"
                }
              },
              "description": "Willow-2024-calibrated fit.",
              "additionalProperties": {}
            },
            "conservative": {
              "type": "object",
              "required": [
                "fit",
                "distance",
                "physicalQubits",
                "wallClockSeconds",
                "errorBudget"
              ],
              "properties": {
                "fit": {
                  "enum": [
                    "litinski",
                    "repo"
                  ],
                  "type": "string"
                },
                "distance": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Required surface-code distance (odd); null when no cataloged distance suffices."
                },
                "errorBudget": {
                  "type": "object",
                  "required": [
                    "logicalContribution",
                    "tStateContribution",
                    "totalFailureUpperBound"
                  ],
                  "properties": {
                    "tStateContribution": {
                      "type": "number"
                    },
                    "logicalContribution": {
                      "type": [
                        "number",
                        "null"
                      ]
                    },
                    "totalFailureUpperBound": {
                      "type": [
                        "number",
                        "null"
                      ]
                    }
                  },
                  "additionalProperties": {}
                },
                "physicalQubits": {
                  "type": [
                    "number",
                    "null"
                  ]
                },
                "wallClockSeconds": {
                  "type": [
                    "number",
                    "null"
                  ]
                },
                "unreachableReason": {
                  "type": "string"
                }
              },
              "description": "Litinski logical-error fit.",
              "additionalProperties": {}
            }
          },
          "additionalProperties": {}
        },
        {
          "type": "null"
        }
      ],
      "description": "Both fits bracket the model uncertainty; report both."
    },
    "sources": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "formulas": {
      "type": "object",
      "propertyNames": {
        "type": "string"
      },
      "additionalProperties": {
        "type": "string"
      }
    },
    "scenario": {
      "type": "object",
      "required": [
        "numLogicalQubits",
        "tCount",
        "qubitErrorRate",
        "hardwareId",
        "targetSuccessProbability",
        "dataBlock",
        "cycleTimeSeconds"
      ],
      "properties": {
        "tCount": {
          "type": "number"
        },
        "dataBlock": {
          "enum": [
            "compact",
            "intermediate",
            "fast"
          ],
          "type": "string"
        },
        "hardwareId": {
          "type": [
            "string",
            "null"
          ]
        },
        "qubitErrorRate": {
          "type": "number"
        },
        "cycleTimeSeconds": {
          "type": "number"
        },
        "numLogicalQubits": {
          "type": "number"
        },
        "targetSuccessProbability": {
          "type": "number"
        }
      },
      "additionalProperties": {}
    },
    "infeasible": {
      "anyOf": [
        {
          "type": "object",
          "required": [
            "reason"
          ],
          "properties": {
            "reason": {
              "type": "string"
            }
          },
          "additionalProperties": {}
        },
        {
          "type": "null"
        }
      ],
      "description": "Non-null when the scenario is infeasible as modeled: no cataloged factory meets the T-error budget (factory and layout are then null) or no distance up to the cap meets it under either fit (per-fit distance, qubits and wall clock are then null)."
    },
    "assumptions": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "totalTimeSteps": {
      "type": [
        "number",
        "null"
      ]
    },
    "effectiveStepsPerTGate": {
      "type": [
        "number",
        "null"
      ]
    }
  },
  "additionalProperties": {}
}
compute_fault_tolerant_resources annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
compare_hardware_scenarios — Compare Hardware Scenarios
Advertised by the server during the last successful anonymous check.
Advertised read-only

Run the same circuit against multiple current SOTA hardware entries in one call so an agent can rank platforms without N sequential compute_expectation calls. Defaults to every entry in list_current_quantum_computers when hardwareIds is omitted.

compare_hardware_scenarios input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "numQubits",
    "compDepth"
  ],
  "properties": {
    "compDepth": {
      "type": "integer",
      "maximum": 10000000000000,
      "minimum": 1
    },
    "numQubits": {
      "type": "integer",
      "maximum": 1000000,
      "minimum": 1
    },
    "hardwareIds": {
      "type": "array",
      "items": {
        "type": "string"
      },
      "description": "Subset of QUANTUM_COMPUTERS ids to compare. Omit to compare every entry."
    },
    "useErrorCorrection": {
      "type": "boolean",
      "default": false
    },
    "distanceSurfaceCode": {
      "type": "number",
      "description": "Surface code distance: odd integer in [3, 31]. Required when useErrorCorrection=true and the surface code is selected; ignored when a qLDPC code is selected."
    },
    "errorCorrectionCode": {
      "enum": [
        "surface",
        "bb-144-12-12",
        "bb-288-12-18",
        "surface-code"
      ],
      "type": "string",
      "description": "Either \"surface\" (default when useErrorCorrection=true) or a qLDPC code id. \"surface-code\" is accepted as an alias for \"surface\"."
    }
  }
}
compare_hardware_scenarios output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "scenario",
    "results",
    "unresolvedHardwareIds"
  ],
  "properties": {
    "results": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "hardware",
          "qubitErrorRateUsed",
          "result"
        ],
        "properties": {
          "result": {
            "type": "object",
            "required": [
              "effectiveErrorRate",
              "successProbability",
              "routingOverheadFactor",
              "routedDepth",
              "logicalErrorRatePerGate",
              "logicalErrorRatePerCycle",
              "physicalQubitsPerLogicalQubit",
              "totalPhysicalQubits"
            ],
            "properties": {
              "routedDepth": {
                "type": "number",
                "description": "compDepth after routing: the depth the effective-error formula consumed."
              },
              "effectiveErrorRate": {
                "type": "number",
                "description": "Probability that at least one gate fails over the (routed) circuit."
              },
              "successProbability": {
                "type": "number",
                "description": "1 - effectiveErrorRate."
              },
              "totalPhysicalQubits": {
                "type": [
                  "number",
                  "null"
                ]
              },
              "routingOverheadFactor": {
                "type": "number",
                "description": "Multiplier the connectivity class applied to compDepth (1 for all-to-all and reconfigurable)."
              },
              "logicalErrorRatePerGate": {
                "type": [
                  "number",
                  "null"
                ],
                "description": "Per-logical-qubit, per-logical-operation error rate; null without error correction."
              },
              "logicalErrorRatePerCycle": {
                "type": [
                  "number",
                  "null"
                ],
                "description": "Per-syndrome-cycle logical error rate as the calibration source reports it; null without error correction."
              },
              "minimumClockRuntimeSeconds": {
                "type": "number",
                "description": "Lower bound on wall-clock runtime; present only when hardwareId was supplied."
              },
              "physicalQubitsPerLogicalQubit": {
                "type": [
                  "number",
                  "null"
                ]
              }
            },
            "additionalProperties": {}
          },
          "hardware": {
            "type": "object",
            "required": [
              "id",
              "hardwareType",
              "physicalQubits",
              "errorRate",
              "errorRateDisplay",
              "connectivity"
            ],
            "properties": {
              "id": {
                "type": "string"
              },
              "errorRate": {
                "type": "number"
              },
              "connectivity": {
                "enum": [
                  "all-to-all",
                  "reconfigurable",
                  "2d-lattice"
                ],
                "type": "string"
              },
              "hardwareType": {
                "type": "string"
              },
              "physicalQubits": {
                "type": "integer",
                "maximum": 9007199254740991,
                "minimum": -9007199254740991
              },
              "errorRateDisplay": {
                "type": "string"
              }
            },
            "additionalProperties": {}
          },
          "qubitErrorRateUsed": {
            "type": "number"
          }
        },
        "additionalProperties": {}
      }
    },
    "scenario": {
      "type": "object",
      "required": [
        "numQubits",
        "compDepth",
        "useErrorCorrection",
        "distanceSurfaceCode",
        "errorCorrectionCode"
      ],
      "properties": {
        "compDepth": {
          "type": "number"
        },
        "numQubits": {
          "type": "number"
        },
        "useErrorCorrection": {
          "type": "boolean"
        },
        "distanceSurfaceCode": {
          "type": [
            "number",
            "null"
          ]
        },
        "errorCorrectionCode": {
          "type": [
            "string",
            "null"
          ]
        }
      },
      "additionalProperties": {}
    },
    "unresolvedHardwareIds": {
      "type": "array",
      "items": {
        "type": "string"
      },
      "description": "Requested hardwareIds that match no current-hardware entry."
    }
  },
  "additionalProperties": {}
}
compare_hardware_scenarios annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
list_current_quantum_computers — Current Quantum Computers
Advertised by the server during the last successful anonymous check.
Advertised read-only

Return the representative-entry table of current SOTA quantum computers (id, hardware type, physical qubit count, 2-qubit error rate, connectivity class with a note on the coupling graph, source URL). Same data that powers the website's "Current Quantum Computers" table. For the model's capability prediction per entry in QUOPS units, read hardwareContext.currentQuantumComputers[].modelCapability from compute_expectation; for measured scores, list_quops_scores.

list_current_quantum_computers input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {}
}
list_current_quantum_computers output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "items"
  ],
  "properties": {
    "items": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "id",
          "physicalQubits",
          "errorRate",
          "errorRateDisplay",
          "hardwareType",
          "connectivity",
          "connectivityNote",
          "source"
        ],
        "properties": {
          "id": {
            "type": "string",
            "description": "Stable alias accepted as hardwareId by the compute tools."
          },
          "source": {
            "type": "string",
            "format": "uri"
          },
          "errorRate": {
            "type": "number",
            "description": "2-qubit gate error rate as a probability."
          },
          "connectivity": {
            "enum": [
              "all-to-all",
              "reconfigurable",
              "2d-lattice"
            ],
            "type": "string"
          },
          "hardwareType": {
            "type": "string"
          },
          "physicalQubits": {
            "type": "integer",
            "maximum": 9007199254740991,
            "minimum": -9007199254740991
          },
          "connectivityNote": {
            "type": "string"
          },
          "errorRateDisplay": {
            "type": "string"
          }
        },
        "additionalProperties": {}
      },
      "description": "One representative entry per hardware type."
    }
  },
  "additionalProperties": {}
}
list_current_quantum_computers annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
list_quops_scores — Measured QUOPS Capability Scores
Advertised by the server during the last successful anonymous check.
Advertised read-only

Return the measured QUOPS (quantum universal operation performance system, a cross-platform capability benchmark) scores (arXiv:2609.12146): per device, the largest random universal circuit size executed at polarization >= 1/sqrt(e) inside the cone w^2 <= s <= w^3, with width, QUOPS rate, architecture (physical, physical-postselected, logical) and source URL, plus the utility-scale targets in the same unit (RSA-2048 and FeMoco). These are measurements, the yardstick the site's own model is checked against: compare them with modelCapability.quopsEquivalent on the compute_expectation hardware context. Vendor and device names appear here because this table is agent-facing only.

list_quops_scores input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {}
}
list_quops_scores output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "definition",
    "polarizationThreshold",
    "admissibleCone",
    "scores",
    "targets"
  ],
  "properties": {
    "scores": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "id",
          "device",
          "vendor",
          "hardwareType",
          "physicalQubits",
          "architecture",
          "code",
          "quopsScore",
          "width",
          "quopsRatePerSecond",
          "discardFraction",
          "year",
          "source"
        ],
        "properties": {
          "id": {
            "type": "string"
          },
          "code": {
            "type": [
              "string",
              "null"
            ]
          },
          "year": {
            "type": "number"
          },
          "width": {
            "type": "number"
          },
          "device": {
            "type": "string"
          },
          "source": {
            "type": "string",
            "format": "uri"
          },
          "vendor": {
            "type": "string"
          },
          "quopsScore": {
            "type": "number"
          },
          "architecture": {
            "enum": [
              "physical",
              "physical-postselected",
              "logical"
            ],
            "type": "string"
          },
          "hardwareType": {
            "type": "string"
          },
          "physicalQubits": {
            "type": "integer",
            "maximum": 9007199254740991,
            "minimum": -9007199254740991
          },
          "discardFraction": {
            "type": [
              "number",
              "null"
            ]
          },
          "quopsRatePerSecond": {
            "type": "number"
          }
        },
        "additionalProperties": {}
      }
    },
    "targets": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "id",
          "problem",
          "logicalQubits",
          "toffoliCount",
          "quopsTarget",
          "quopsRateTargetPerSecond",
          "timeBudget",
          "resourceEstimateSource",
          "source",
          "note"
        ],
        "properties": {
          "id": {
            "type": "string"
          },
          "note": {
            "type": [
              "string",
              "null"
            ]
          },
          "source": {
            "type": "string",
            "format": "uri"
          },
          "problem": {
            "type": "string"
          },
          "timeBudget": {
            "type": "string"
          },
          "quopsTarget": {
            "type": "number"
          },
          "toffoliCount": {
            "type": "number"
          },
          "logicalQubits": {
            "type": "number"
          },
          "resourceEstimateSource": {
            "type": "string",
            "format": "uri"
          },
          "quopsRateTargetPerSecond": {
            "type": "number"
          }
        },
        "additionalProperties": {}
      }
    },
    "definition": {
      "type": "string"
    },
    "admissibleCone": {},
    "polarizationThreshold": {
      "type": "number"
    }
  },
  "additionalProperties": {}
}
list_quops_scores annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
list_hardware_timings — Hardware Gate-Cycle Timings
Advertised by the server during the last successful anonymous check.
Advertised read-only

Return per-platform gate-cycle timings (2Q gate time, readout time, in SI seconds) plus the testbed they were measured on (`representativeDevice`) and the native 2Q gate name, with source URLs. Joins list_current_quantum_computers via `hardwareType`, but the numbers are BEST-CASE DEMONSTRATIONS from small testbeds, not measurements on the joined devices, which run their gates and array readout orders of magnitude slower. Use for ratio analysis or as optimistic lower-bound inputs to runtime estimates and compute_quantum_volume_rate, and say so when you quote a runtime.

list_hardware_timings input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {}
}
list_hardware_timings output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "items"
  ],
  "properties": {
    "items": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "hardwareType",
          "representativeDevice",
          "native2QGate",
          "t2QGateTime",
          "tMeasurement"
        ],
        "properties": {
          "notes": {
            "type": "string"
          },
          "t2QGateTime": {
            "type": "object",
            "required": [
              "seconds",
              "source"
            ],
            "properties": {
              "source": {
                "type": "string",
                "format": "uri"
              },
              "seconds": {
                "type": "number",
                "description": "SI seconds."
              }
            },
            "additionalProperties": {}
          },
          "hardwareType": {
            "type": "string",
            "description": "Join key to list_current_quantum_computers."
          },
          "native2QGate": {
            "type": "string"
          },
          "tMeasurement": {
            "type": "object",
            "required": [
              "seconds",
              "source"
            ],
            "properties": {
              "source": {
                "type": "string",
                "format": "uri"
              },
              "seconds": {
                "type": "number",
                "description": "SI seconds."
              }
            },
            "additionalProperties": {}
          },
          "representativeDevice": {
            "type": "string",
            "description": "The testbed measured, not the joined current-hardware device."
          }
        },
        "additionalProperties": {}
      },
      "description": "Best-case gate and readout times per platform."
    }
  },
  "additionalProperties": {}
}
list_hardware_timings annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
compute_quantum_volume_rate — Compute Quantum Volume Rate
Advertised by the server during the last successful anonymous check.
Advertised read-only

Compute the Quantum Volume Rate (QV/second): QVR = V_Q / (log2(V_Q) * t_2Q + t_meas). First-order estimate of how fast a device prepares one QV-sized square circuit (one native 2Q gate per QV layer + one end-of-circuit measurement). OVERSTATES achievable rate: real compilation inflates the 2Q-gate count per layer; omits reset/SPAM, mid-circuit measurement, and classical-control latency. For a production throughput metric, see IBM's CLOPS (arXiv:2110.14108).

compute_quantum_volume_rate input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "quantumVolume",
    "t2QSeconds",
    "tMeasurementSeconds"
  ],
  "properties": {
    "t2QSeconds": {
      "type": "number",
      "description": "Native 2-qubit gate time in seconds (e.g. 60e-9 for a 60 ns CZ).",
      "exclusiveMinimum": 0
    },
    "quantumVolume": {
      "type": "integer",
      "maximum": 9007199254740991,
      "minimum": 2,
      "description": "Quantum volume V_Q (integer ≥ 2, e.g. 64 for a depth-log2=6 square circuit)."
    },
    "tMeasurementSeconds": {
      "type": "number",
      "description": "End-of-circuit measurement/readout time in seconds (e.g. 5e-3 for 5 ms).",
      "exclusiveMinimum": 0
    }
  }
}
compute_quantum_volume_rate output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "qvrPerSecond",
    "unit",
    "formula",
    "inputs",
    "assumptions",
    "caveats"
  ],
  "properties": {
    "unit": {
      "type": "string",
      "const": "QV/s"
    },
    "inputs": {
      "type": "object",
      "required": [
        "quantumVolume",
        "t2QSeconds",
        "tMeasurementSeconds"
      ],
      "properties": {
        "t2QSeconds": {
          "type": "number"
        },
        "quantumVolume": {
          "type": "number"
        },
        "tMeasurementSeconds": {
          "type": "number"
        }
      },
      "additionalProperties": {}
    },
    "caveats": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "formula": {
      "type": "string"
    },
    "assumptions": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "qvrPerSecond": {
      "type": "number"
    }
  },
  "additionalProperties": {}
}
compute_quantum_volume_rate annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
fit_historic_series — Fit Historic Series (log-linear)
Advertised by the server during the last successful anonymous check.
Advertised read-only

Fit a log-linear trend (ln(value) = slope * year + intercept) to one historic series — fidelity or qubit-count — for one hardware type. Atomic primitive: compose with list_current_quantum_computers, compute_required_error_rate, or your own modelling to answer "when might hardware reach X?". residualStdDev is the BIASED (maximum-likelihood) RMS — divides by n, not (n - 2); on small series (n ≈ 3–5) inflate by √(n / (n - 2)) before building confidence intervals.

fit_historic_series input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "seriesType",
    "hardwareType"
  ],
  "properties": {
    "seriesType": {
      "enum": [
        "fidelity",
        "qubit-count"
      ],
      "type": "string",
      "description": "Which historic series to fit: \"fidelity\" (2-qubit gate error rate) or \"qubit-count\" (physical qubits)."
    },
    "targetValue": {
      "type": "number",
      "description": "Optional. When supplied, the response includes yearAtTargetValue — the extrapolated year the fit crosses this value (error rate for fidelity series, qubit count for qubit-count series). Null if slope is flat.",
      "exclusiveMinimum": 0
    },
    "hardwareType": {
      "enum": [
        "Neutral Atom",
        "Superconducting",
        "Trapped-Ion"
      ],
      "type": "string",
      "description": "Hardware platform as used by get_historic_series."
    }
  }
}
fit_historic_series output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "seriesType",
    "hardwareType",
    "model",
    "formula",
    "slope",
    "intercept",
    "nPoints",
    "residualStdDev",
    "yearRange",
    "halvingPeriodYears",
    "doublingPeriodYears"
  ],
  "properties": {
    "model": {
      "type": "string",
      "const": "log-linear"
    },
    "slope": {
      "type": "number"
    },
    "formula": {
      "type": "string",
      "const": "ln(value) = slope * year + intercept"
    },
    "nPoints": {
      "type": "integer",
      "maximum": 9007199254740991,
      "minimum": -9007199254740991
    },
    "intercept": {
      "type": "number"
    },
    "yearRange": {
      "type": "array",
      "items": false,
      "maxItems": 2,
      "minItems": 2,
      "prefixItems": [
        {
          "type": "number"
        },
        {
          "type": "number"
        }
      ]
    },
    "seriesType": {
      "enum": [
        "fidelity",
        "qubit-count"
      ],
      "type": "string"
    },
    "hardwareType": {
      "type": "string"
    },
    "residualStdDev": {
      "type": "number",
      "description": "Biased (divide-by-n) RMS of the ln residuals."
    },
    "yearAtTargetValue": {
      "type": [
        "number",
        "null"
      ],
      "description": "Present only when targetValue was supplied."
    },
    "halvingPeriodYears": {
      "type": [
        "number",
        "null"
      ],
      "description": "Non-null iff slope < 0."
    },
    "doublingPeriodYears": {
      "type": [
        "number",
        "null"
      ],
      "description": "Non-null iff slope > 0."
    }
  },
  "additionalProperties": {}
}
fit_historic_series annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
list_example_algorithms — Example Quantum Algorithms
Advertised by the server during the last successful anonymous check.
Advertised read-only

Return the curated list of example quantum algorithms with published resource estimates (qubit count, depth/gate count, source paper URL). Useful for comparing what algorithms need vs. what hardware can deliver. Each entry carries a `provenance` field: 'published-circuit' means the figure is reproducible from the source, 'attested-estimate' means the source withholds the circuit and the figure rests on the authors' attestation, with a `provenanceNote` giving the specifics. Carry that caveat whenever you quote an attested figure; do not present it as equivalently sourced.

list_example_algorithms input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {}
}
list_example_algorithms output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "items"
  ],
  "properties": {
    "items": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "id",
          "name",
          "numQubits",
          "compDepth",
          "compDepthDisplay",
          "source",
          "provenance",
          "provenanceNote"
        ],
        "properties": {
          "id": {
            "type": "string"
          },
          "name": {
            "type": "string"
          },
          "source": {
            "type": "string",
            "format": "uri"
          },
          "compDepth": {
            "type": "number"
          },
          "numQubits": {
            "type": "number"
          },
          "provenance": {
            "enum": [
              "published-circuit",
              "attested-estimate"
            ],
            "type": "string"
          },
          "provenanceNote": {
            "type": [
              "string",
              "null"
            ]
          },
          "compDepthDisplay": {
            "type": "string"
          }
        },
        "additionalProperties": {}
      },
      "description": "Curated algorithms with published resource estimates."
    }
  },
  "additionalProperties": {}
}
list_example_algorithms annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
list_qldpc_codes — qLDPC Code Catalog (Quantum Low-Density Parity-Check)
Advertised by the server during the last successful anonymous check.
Advertised read-only

Return the catalog of supported qLDPC (quantum low-density parity-check) error-correction codes (id, label, family, n, k, d, circuitLevelDistance, ancilla counts, roundsPerLogicalOp, threshold, fitCoefficients {c0, c1, c2}, logicalErrorExponent [alpha = d_circ/2], source URLs, provenance, caveats). The per-block, per-syndrome-cycle logical error rate is p^alpha * exp(c0 + c1*p + c2*p^2) for p <= threshold (the source paper's own fitting form; c1 = c2 = 0 means a plain power law). `provenance` names the table or section each constant was read from. `caveats` is an array of source-level qualifications on the entry's constants (loose distance bounds, values a source marks as assumed, numbers that differ between sources); empty when the sources carry none. Read it before quoting a code's logical error rate as firm. Use a code's `id` as the `errorCorrectionCode` input to `compute_expectation`.

list_qldpc_codes input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {}
}
list_qldpc_codes output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "items"
  ],
  "properties": {
    "items": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "id",
          "label",
          "family",
          "n",
          "k",
          "d",
          "circuitLevelDistance",
          "checkAncillasPerBlock",
          "logicAncillasPerBlock",
          "roundsPerLogicalOp",
          "threshold",
          "fitCoefficients",
          "logicalErrorExponent",
          "provenance",
          "source",
          "caveats"
        ],
        "properties": {
          "d": {
            "type": "integer",
            "maximum": 9007199254740991,
            "minimum": -9007199254740991
          },
          "k": {
            "type": "integer",
            "maximum": 9007199254740991,
            "minimum": -9007199254740991
          },
          "n": {
            "type": "integer",
            "maximum": 9007199254740991,
            "minimum": -9007199254740991
          },
          "id": {
            "type": "string",
            "description": "Accepted as errorCorrectionCode by compute_expectation."
          },
          "label": {
            "type": "string"
          },
          "family": {
            "type": "string"
          },
          "source": {
            "type": "string",
            "format": "uri"
          },
          "caveats": {
            "type": "array",
            "items": {
              "type": "string"
            }
          },
          "threshold": {
            "type": "number"
          },
          "provenance": {
            "type": "object",
            "propertyNames": {
              "type": "string"
            },
            "additionalProperties": {
              "type": "string"
            }
          },
          "fitCoefficients": {
            "type": "object",
            "required": [
              "c0",
              "c1",
              "c2"
            ],
            "properties": {
              "c0": {
                "type": "number"
              },
              "c1": {
                "type": "number"
              },
              "c2": {
                "type": "number"
              }
            },
            "additionalProperties": {}
          },
          "roundsPerLogicalOp": {
            "type": "number"
          },
          "circuitLevelDistance": {
            "type": "number"
          },
          "logicalErrorExponent": {
            "type": "number"
          },
          "checkAncillasPerBlock": {
            "type": "number"
          },
          "logicAncillasPerBlock": {
            "type": "number"
          }
        },
        "additionalProperties": {}
      },
      "description": "Supported qLDPC codes."
    }
  },
  "additionalProperties": {}
}
list_qldpc_codes annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
get_historic_series — Historic Hardware Series (Fidelity or Qubit Count)
Advertised by the server during the last successful anonymous check.
Advertised read-only

Return the full historic time series — either two-qubit gate error rates ("fidelity") or physical qubit counts ("qubit-count") — broken down by hardware type. Each datapoint carries a source URL. Use this to extrapolate trends — "when might hardware reach X?" — or pair with fit_historic_series for a log-linear fit on one hardware type.

get_historic_series input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "seriesType"
  ],
  "properties": {
    "seriesType": {
      "enum": [
        "fidelity",
        "qubit-count"
      ],
      "type": "string",
      "description": "\"fidelity\" → 2-qubit gate error rates; \"qubit-count\" → physical qubit counts."
    }
  }
}
get_historic_series output schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "required": [
    "items"
  ],
  "properties": {
    "items": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "name",
          "data"
        ],
        "properties": {
          "data": {
            "type": "array",
            "items": {
              "type": "object",
              "required": [
                "year",
                "source"
              ],
              "properties": {
                "year": {
                  "type": "number"
                },
                "label": {
                  "type": "string"
                },
                "source": {
                  "type": "string",
                  "format": "uri"
                },
                "infidelity": {
                  "type": "number",
                  "description": "Fidelity series only: 2-qubit gate infidelity."
                },
                "qubitCount": {
                  "type": "number",
                  "description": "Qubit-count series only."
                }
              },
              "additionalProperties": {}
            }
          },
          "name": {
            "type": "string",
            "description": "Hardware type."
          },
          "note": {
            "type": "string"
          }
        },
        "additionalProperties": {}
      },
      "description": "One series per hardware type."
    }
  },
  "additionalProperties": {}
}
get_historic_series annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
get_agent_brief — Agent Brief
Advertised by the server during the last successful anonymous check.
Advertised read-only

Return the plain-text site brief describing scope, assumptions, the honesty clause, and the API contract. Mirrors the /agent.txt document served by the website.

get_agent_brief input schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {}
}
get_agent_brief annotations
{
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}

Prompts

3 advertised

assess_feasibility — Assess Feasibility of a Quantum Circuit

Advertised by the server during the last successful anonymous check.

Guided analysis: when could a circuit (logical qubits × depth, target error budget) become feasible on real hardware? Composes compute_required_error_rate and fit_historic_series; the agent draws the conclusions and states every assumption.

numQubits
Number of logical qubits in the circuit (integer, e.g. "100"). (required)
compDepth
Circuit depth / total gate count (integer, e.g. "1000"). (required)
acceptableErrorRatePercent
Target upper bound on the effective error rate, in percent (default "33").
assess_fault_tolerant_feasibility — Assess Fault-Tolerant Feasibility of an Algorithm

Advertised by the server during the last successful anonymous check.

Guided analysis: what would it take to run an algorithm (logical qubits × T count) fault-tolerantly, and is that worth it vs classical compute? Composes compute_fault_tolerant_resources and list_current_quantum_computers; the agent draws the conclusions and states the fit-spread caveat.

numLogicalQubits
Number of logical data qubits the algorithm needs (integer, e.g. "100"). (required)
tCount
Total T-gate count of the algorithm (integer, e.g. "1e9" style values written out). (required)
qubitErrorRate
Physical 2-qubit error rate p (e.g. "0.001"). Omit to survey current SOTA hardware instead.
compare_platforms — Compare Hardware Platforms for a Circuit

Advertised by the server during the last successful anonymous check.

Guided analysis: rank current hardware platforms for a given circuit and explain which constraint binds on each. Composes compare_hardware_scenarios and list_hardware_timings; the agent draws the conclusions.

numQubits
Number of logical qubits in the circuit (integer, e.g. "100"). (required)
compDepth
Circuit depth / total gate count (integer, e.g. "1000"). (required)

Resources

9 advertised

historic-fidelity — Historic 2-Qubit Gate Fidelity

Advertised by the server during the last successful anonymous check.

Historic 2-qubit gate error rates by hardware type (with source URLs).

historic-fidelity URI
resource://quantum-expectations/historic-fidelity

MIME type: application/json

historic-qubit-count — Historic Physical Qubit Counts

Advertised by the server during the last successful anonymous check.

Historic physical qubit counts by hardware type (with source URLs).

historic-qubit-count URI
resource://quantum-expectations/historic-qubit-count

MIME type: application/json

current-quantum-computers — Current Quantum Computers

Advertised by the server during the last successful anonymous check.

Representative-entry table of current SOTA quantum computers.

current-quantum-computers URI
resource://quantum-expectations/current-quantum-computers

MIME type: application/json

hardware-timings — Hardware Gate-Cycle Timings

Advertised by the server during the last successful anonymous check.

Per-platform best-case demonstrated 2-qubit gate time and readout time (SI seconds) with source URLs. Joins with current-quantum-computers via hardwareType, but the numbers come from small testbeds, not the joined devices; runtime figures built on them are optimistic lower bounds.

hardware-timings URI
resource://quantum-expectations/hardware-timings

MIME type: application/json

example-algorithms — Example Quantum Algorithms

Advertised by the server during the last successful anonymous check.

Curated list of quantum algorithms with published resource estimates, each tagged with a `provenance` value (published-circuit vs attested-estimate) and, where applicable, a note on what is and is not independently verifiable.

example-algorithms URI
resource://quantum-expectations/example-algorithms

MIME type: application/json

example-algorithm-provenance — Example Algorithm Provenance Legend

Advertised by the server during the last successful anonymous check.

Gloss for the `provenance` values carried by every entry in example-algorithms, so the verifiability caveat travels with the data instead of living only in prose.

example-algorithm-provenance URI
resource://quantum-expectations/example-algorithm-provenance

MIME type: application/json

qldpc-codes — qLDPC Code Catalog (Quantum Low-Density Parity-Check)

Advertised by the server during the last successful anonymous check.

Supported qLDPC codes: threshold, fitCoefficients {c0, c1, c2} and logicalErrorExponent (alpha) for P_L = p^alpha * exp(c0 + c1*p + c2*p^2) per block per syndrome cycle for p <= threshold (above it the server continues with a power law anchored at P_L(threshold)), ancilla counts, source URLs, provenance and per-entry caveats.

qldpc-codes URI
resource://quantum-expectations/qldpc-codes

MIME type: application/json

quops-scores — Measured QUOPS Capability Scores

Advertised by the server during the last successful anonymous check.

Measured QUOPS capability scores per device (arXiv:2609.12146) with width, rate, architecture and source URL, plus utility-scale targets in the same unit. The measured yardstick for the model's modelCapability predictions.

quops-scores URI
resource://quantum-expectations/quops-scores

MIME type: application/json

agent-brief — Agent Brief

Advertised by the server during the last successful anonymous check.

Plain-text site brief with scope, assumptions, honesty clause, and API contract.

agent-brief URI
resource://quantum-expectations/agent-brief

MIME type: text/plain

90-day uptime

A lightweight connection check about every six hours, sampled on hosts with many listings. It shows the server answered, not that its tools work.

Too few checks for a percentage yet (2 of 2 answered).

  1. 2026-11-06: 1 of 1 checks answered
  2. 2026-11-07: 1 of 1 checks answered

30-day availability

Aggregated from read-only remote checks; this is not a tool-execution or security guarantee.

Successful checks
1 of 1 (100%)
Average latency
1374 ms
95th percentile latency
1374 ms

Maintenance history

Public check and source-refresh events. Editorial and ownership records remain private.

  • · probe · passed · 1374 ms · metadata changed · 13 tool(s), 9 resource(s), 0 resource template(s), 3 prompt(s)

Connect from your client

Each snippet registers the same endpoint; pick the client you use.

This server is operated by the named third party. Listing and endpoint checks are not an endorsement or a security audit. Review the operator's permissions, terms, and data handling before connecting. How listings are checked and corrected.

Claude Code

Run this once in a terminal. It registers the remote server. Use --scope project to write .mcp.json for the repo.
Claude Code configuration
claude mcp add --transport http quantum-expectations-mcp https://www.quantum-expectations.com/api/mcp

Codex

Run this once. Codex stores MCP servers in ~/.codex/config.toml (or .codex/config.toml in a trusted project).
Codex configuration
codex mcp add quantum-expectations-mcp --url https://www.quantum-expectations.com/api/mcp

Cursor

Merge this server into .cursor/mcp.json in your project, then enable quantum-expectations-mcp in your MCP settings.
Cursor configuration
{
  "mcpServers": {
    "quantum-expectations-mcp": {
      "url": "https://www.quantum-expectations.com/api/mcp"
    }
  }
}

Cline

Merge this into cline_mcp_settings.json (Cline → MCP Servers → Configure).
Cline configuration
{
  "mcpServers": {
    "quantum-expectations-mcp": {
      "type": "streamableHttp",
      "url": "https://www.quantum-expectations.com/api/mcp",
      "disabled": false
    }
  }
}

VS Code

Merge this server into .vscode/mcp.json. Use MCP: List Servers to start quantum-expectations-mcp and inspect its tools.
VS Code configuration
{
  "servers": {
    "quantum-expectations-mcp": {
      "type": "http",
      "url": "https://www.quantum-expectations.com/api/mcp"
    }
  }
}

Gemini CLI

Run this once. It writes .gemini/settings.json in the current project; pass --scope user for ~/.gemini/settings.json.
Gemini CLI configuration
gemini mcp add --transport http quantum-expectations-mcp https://www.quantum-expectations.com/api/mcp

Claude Desktop

Open Claude Settings > Connectors > Add custom connector, enter this server URL and enable it for the conversation. This is a manual remote-connector handoff, not a desktop JSON configuration.
Claude Desktop configuration
https://www.quantum-expectations.com/api/mcp

Windsurf

Merge this into ~/.codeium/windsurf/mcp_config.json, then refresh MCP in Cascade. Windsurf remote servers use serverUrl, not url.
Windsurf configuration
{
  "mcpServers": {
    "quantum-expectations-mcp": {
      "serverUrl": "https://www.quantum-expectations.com/api/mcp"
    }
  }
}

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