← ObservatoryThe RecordFR-QE-0008
PROG-QE
FR-QE-0008

Quantum Error Correction Scaling — Logical Rate Suppression Under Physical Overhead

Quantum error correction can reduce logical error rates faster than physical error rates increase with system scale.

ResolvingVS-04·since 2024-01-15
Verification Matrix
VS-01
Assertion
VS-02
Published
VS-03
Audit
VS-04
Replication
2024-01-15 — present
VS-05
Operation
State reached Current state Not yet reached
State Warrant
Current stateResolvingVS-04
Why this state?The claim is substantially supported and on a trajectory toward confirmation. Google's Willow results (INST-003) demonstrate exponential logical error rate suppression through code distance 7, consistent with the threshold theorem's predictions. Cross-platform confirmation from Microsoft and Quantinuum (INST-004) strengthens the result beyond a single-platform observation. The core scaling relationship — logical error rates suppressing faster than physical overhead increases — is empirically confirmed at the code distances tested. The pressure state is RESOLVING: the theorem's central prediction has been consistently observed across the code distances measured so far (INST-002, INST-003) and across multiple hardware architectures, though correlated-error effects that may limit suppression at larger code distances (INST-005) have not yet been ruled out, and confirmation at the distances required for practical fault tolerance (d=9, d=11) remains the decisive open step (AT-001).
In this state since2024-01-15
Stage provenanceStored VS-04; historically unverified after legacy review.
Record Lineage — Chronological
2024-01-15
Record opened — Resolving
The claim is substantially supported and on a trajectory toward confirmation. Google's Willow results (INST-003) demonstrate exponential logical error rate suppression through code distance 7, consistent with the threshold theorem's predictions. Cross-platform confirmation from Microsoft and Quantinuum (INST-004) strengthens the result beyond a single-platform observation. The core scaling relationship — logical error rates suppressing faster than physical overhead increases — is empirically confirmed at the code distances tested. The pressure state is RESOLVING: the theorem's central prediction has been consistently observed across the code distances measured so far (INST-002, INST-003) and across multiple hardware architectures, though correlated-error effects that may limit suppression at larger code distances (INST-005) have not yet been ruled out, and confirmation at the distances required for practical fault tolerance (d=9, d=11) remains the decisive open step (AT-001).
Verification Stage: VS-04 preserved — historically unverified.
Mutation Log
MutationDateFieldPrior valueCurrent value
M-0062026-07-08reference_correctedREFERENCE-CORRECTED
M-0052024-01-15programme_panel_addedPROGRAMME-PANEL-ADDED
M-0042024-01-15sub_population_condition_partialSUB-POPULATION-CONDITION-PARTIAL
M-0032024-01-15assessment_issuedASSESSMENT-ISSUED
M-0022024-01-15instances_loggedINSTANCES-LOGGED
M-0012024-01-15record_createdRECORD-CREATED
Evidence Sources
5 instances on recordShow sources ↓Hide ↑
IN-001Threshold theorem — theoretical foundation establishedneutral
IN-002Google — exponential suppression demonstrated in distance-3 to distance-5 surface codessupportive
IN-003Google Willow — distance-3 to distance-7 scaling, below-threshold confirmedsupportive
IN-004Microsoft and Quantinuum — logical qubit operations at low error ratessupportive
IN-005Correlated errors and noise model limitations at larger scalespartial