evidence class: measured

The measured record.

Every figure published on this site comes from the run below. It was taken against production, at full traffic, by a client outside the deployment. The raw record is downloadable and the boundary is stated with it.

Claim card

Evidence class
measured
Recorded
2026-08-22
Endpoint
https://catalyst-q.strategic-innovations.ai/v3turbo/execute/qasm
Source revision
5a0d43a69f5ef5109d71538c10ef7d3576ee2195
Worker version
ed64918e-96af-4e8c-9a49-abad89e5e32e
Tolerance
1e-12
Verifier
Node.js v26.5.0 on macOS 15.5 arm64
WorkloadDeclared widthBaselineObservedTiming
Million-width T streamOne million declared qubits, one million gates, one exact observable. 1,000,000 analytic Z = 1 Z = 1, exact 3,166 ms end to end, including a 12 MB streamed request body
Non-local inverse circuitA circuit and its inverse over separated addresses in a million-wide register. 1,000,000 analytic inverse-circuit identity = 1 three-address Z product = 1, exact 2,056 ms end to end
Rotation latency sweepTen sequential analytic rotations, every one exact to 1e-12. analytic Z after RX(pi/3) = 0.5 10 of 10 exact p50 87 ms, p95 100 ms
Pause and resumeA paused run resumed from its returned continuation alone, still exact. analytic resumed Z = 1 HTTP 202 then 200, Z = 1, exact 419 ms end to end
Agent / IDE end to endThe same million-width run driven by an agent over MCP, not by a browser. 1,000,000 analytic = 1 actual = 1, exact stdio MCP to streamed production HTTP

Every figure in this table comes from record cq-prod-2026-08-22-ed64918e — the deployment identified in the claim card above. Timings are end-to-end client measurements from the stated verifier and environment; they are not a signed third-party certificate, and they do not generalise beyond the named observables.

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record two · observable side

The deeply entangled classes, measured in.

On 2026-08-27 this page said condensed-matter dynamics, QEC and random-circuit sampling were out of class. On 2026-09-01 they were measured again on the observable side, oracle by oracle, and the boundary moved to where the table below puts it — including the one wall that did not move.

Evidence class
measured
Recorded
2026-09-01
Record
cq-front-2026-09-01
Oracles
numpy dense statevector (n ≤ 20), qiskit-aer 0.17.2 matrix-product state (n ≥ 24), Majorana-chart Pfaffian (matchgate circuits)
Verifier
Python 3.11 / numpy 2.4 on macOS arm64, single core
WorkloadClaimOracleObservedTiming
TFIM quench, 100 sitesCondensed matter Mean magnetisation and bond correlator after 20 Trotter steps (J=h=1, T=1), certified. MPS oracle, agreement 4.1e-7 (the oracle's own floor) 1.21M-word bundle, certificate 2.3e-6; bundle grows linearly in width (≈12k words per site) 508 s single-core Python, an upper bound for the production port
Same run, 16 sites: state side vs observable sideCondensed matter A cluster-materialising state register caps at rank 14 on this machine and stalls silently. dense state vector state side 5.9e-2 off while reporting converged; observable side 3.0e-10 off 14 s
TFIM hard quench, 200 sites, fermionic chartCondensed matter Order parameter after a T=4 quench (16 steps of dt=0.25) — the case where the Pauli bundle blows up — exact via a Pfaffian readout. dense state vector at n ≤ 14: max deviation 3e-14 exact, no certificate needed; the same quench at 12 sites cost 6.9M words on the Pauli side 7.7 s at 200 sites, 0.57 s at 100
Depth-4 brickwork, width 12 to 1,000Random circuits Mid-chain ⟨Z⟩ on √iSWAP brickwork with random single-qubit layers; the cost is the light cone, not the width. dense at n=12: 3.3e-16 16k–30k words and 8 support qubits at every width 0.06–0.5 s
The wall, statedRandom circuits Exact through depth 5 at 50 qubits (684k words). At depth 6 the bundle passes 6M words and the certificate stops certifying. At depth 14 on 8 qubits the observable fills all 65,535 words. dense at n=8, depth 14: 5.2e-16 (exact, because all words were kept) this is the #P wall on the readout side; it is reported, not hidden 1.6 s at depth 5
Surface-code thresholds, d=3 to 9QEC Pauli-frame simulation with minimum-weight matching under code-capacity depolarising noise. dense code state at d=3: 0 mismatches in 300 random fault patterns p=0.04 → logical 0.019 / 0.0073 / 0.0023 / 0.0017 at d=3/5/7/9; curves cross near p≈0.14 0.04–4.3 ms per shot, 81 qubits
Coherent errors, exact logical channelQEC rz(ε) on every data qubit; the syndrome-resolved logical Kraus operators come from one Walsh transform over the stabiliser group. dense projection at d=3: every (α, β) pair to 2.2e-16 coherent errors are 2.7× (d=3) to 4.2× (d=5) worse than their Pauli twirl at ε=0.1 d=5: 8,192-term transform, milliseconds; d=7: 33M terms, offline
Zero-coordination foldDistribution One observable split into 64 shards, each transported independently, merged by addition. the serial run ⟨Z⟩ within 8.6e-10 of serial (truncation-order effects only) 16 sites, 20 Trotter steps

Timings are single-core Python from the workbench that produced the record and are upper bounds for the production route, which is a port tested against fixtures generated by these runs. Where a row names an oracle, the deviation quoted is against that oracle; where it says exact, every term was kept.

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scope

What it does, and what it does not.

Stating the boundary next to the result is the point. In a field where every benchmark is self-reported, the vendor that publishes its own limits is the one worth checking.

In class

  • Exact expectation values and typed observables on structured circuits, at widths no state vector holds.
  • Local observables on deep circuits: exact through the light cone (depth 5 in a 1D brickwork), certified beyond it — the cost is set by depth, not width (measured n=12 to 1,000).
  • Condensed-matter quenches: certified observable transport (TFIM to 100 sites within 4e-7 of an MPS oracle) and exact matchgate dynamics in the fermionic chart (TFIM order parameter at 200 sites in 7.7 s).
  • QEC: code-capacity thresholds at any distance in O(n) per shot, and the exact coherent-error logical channel of the rotated surface code at d=3 and d=5.
  • Analytic ground truth a third party can check without trusting us.

Out of class

  • Full-distribution shot sampling. No counts are produced; `materialized_gate_count` is 0 by construction.
  • Scrambled circuits at depth of order the width: the observable fills the 4^n Pauli space (65,535 words at n=8, depth 14). That is the #P wall on the readout side, and no representation moves it.
  • Interacting spin models at long times (XXZ, Hubbard): the value is returned with its certificate, and past 24 sites the certificate stops certifying.
  • Any claim about hardware fidelity. This is a classical engine, not a QPU.

Reproduce it.

The baselines are analytic. You do not have to take our word for any row above — the returned value either equals the analytic result or it does not.

Reproduction steps