Quantum codes: stabilizer [[n,k,d]] certificates: review

Proposal standing and signed decisions at this exact published snapshot.

Authority boundary

Evidence is not acceptance

Verification can support a proposal. It cannot supply the scientific decision.

EvidenceA bounded artifact is recorded.
VerifierA named check reproduces the result.
ProposalA claim enters review without changing accepted state.
DecisionA registered human or exact policy supplies authority.
StandingOnly the signed decision changes accepted state.

7
all proposals: 1
pending: 6
applied: 0
rejected / withdrawn

Latest terminal decision

Jun 2, 2026, 11:37 PM

appliedvpr_bbf2f812da2779c8

Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).

Signed by reviewer:will-blair; provenance: legacy materialized.

Exact decision provenanceDecision event, plan, proposal, and Receipt roots

Decision event: not recorded
Decision plan: not recorded
Proposal: not recorded
Receipt: not recorded

Proposal ledger

standing, not verdict quality

7 proposals

vpr_74b245aa3c2d159e
finding.add · Jul 18, 2026, 7:27 PM
pending review
Constructed an explicit nine-generator stabilizer witness for quantum:[[10,1,4]] and verified locally that the generators are distinct, non-identity, pairwise symplectically commuting, GF(2)-independent of rank nine, and that all 3,675 Pauli errors of weights one through three are either detected or lie in the stabilizer span.
Inspect exact provenance
Proposal
sha256:6066c3847d220d359434bb6c8547350e9a9a662ac146f1bcb6a3aa5e69114ae1
Receipt
sha256:7f600b655a2bb6ca8ce14eaed2f5c412cf70f13f7b40e390cb690ddb4ebb8e2f
Decision plan
not recorded
Decision event
not recorded
vpr_bbf2f812da2779c8
finding.add · Jun 2, 2026, 11:37 PM
applied
The largest distance of a single-logical-qubit stabilizer code at length 10, [[10,1,d]], is open within the band d in [3,4]; whether a [[10,1,4]] stabilizer code exists is undetermined here.
Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).
Inspect exact provenance
Proposal
not recorded
Receipt
not recorded
Decision plan
not recorded
Decision event
not recorded
vpr_48bd2c2afdb23008
finding.add · Jun 2, 2026, 11:37 PM
applied
The Shor code [[9,1,3]] (concatenated bit- and phase-flip repetition) encodes 1 logical qubit in 9 physical qubits with distance 3, verified from its eight stabilizer generators.
Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).
Inspect exact provenance
Proposal
not recorded
Receipt
not recorded
Decision plan
not recorded
Decision event
not recorded
vpr_ab419cca4a99a8ea
finding.add · Jun 2, 2026, 11:37 PM
applied
The Steane code [[7,1,3]] (CSS from the [7,4,3] Hamming code) encodes 1 logical qubit in 7 physical qubits with distance 3, verified from its six stabilizer generators.
Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).
Inspect exact provenance
Proposal
not recorded
Receipt
not recorded
Decision plan
not recorded
Decision event
not recorded
vpr_1f4196a6758e1b4b
finding.add · Jun 2, 2026, 11:37 PM
applied
The perfect five-qubit code [[5,1,3]] (cyclic stabilizers XZZXI and rotations) encodes 1 logical qubit in 5 physical qubits with distance 3, and is optimal at its length.
Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).
Inspect exact provenance
Proposal
not recorded
Receipt
not recorded
Decision plan
not recorded
Decision event
not recorded
vpr_7313028c1077b829
finding.add · Jun 2, 2026, 11:37 PM
applied
The [[4,2,2]] code with stabilizers XXXX, ZZZZ encodes 2 logical qubits in 4 physical qubits with distance 2, verified by exact recomputation of k and d.
Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).
Inspect exact provenance
Proposal
not recorded
Receipt
not recorded
Decision plan
not recorded
Decision event
not recorded
vpr_f7dad07500216d3c
artifact.assert · Jun 2, 2026, 11:37 PM
applied
Import artifact va_qcverify00000001 from artifact packet cap_a1b2c3d4e5f60718
Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).
Inspect exact provenance
Proposal
not recorded
Receipt
not recorded
Decision plan
not recorded
Decision event
not recorded

Proposal	Claim and exact roots	Standing	Recorded
vpr_74b245aa3c2d159e finding.add	Constructed an explicit nine-generator stabilizer witness for quantum:[[10,1,4]] and verified locally that the generators are distinct, non-identity, pairwise symplectically commuting, GF(2)-independent of rank nine, and that all 3,675 Pauli errors of weights one through three are either detected or lie in the stabilizer span.Show roots Proposal sha256:6066c3847d220d359434bb6c8547350e9a9a662ac146f1bcb6a3aa5e69114ae1 Receipt sha256:7f600b655a2bb6ca8ce14eaed2f5c412cf70f13f7b40e390cb690ddb4ebb8e2f Decision plan not recorded Decision event not recorded	pending review	Jul 18, 2026, 7:27 PM
vpr_bbf2f812da2779c8 finding.add	The largest distance of a single-logical-qubit stabilizer code at length 10, [[10,1,d]], is open within the band d in [3,4]; whether a [[10,1,4]] stabilizer code exists is undetermined here.Show roots Proposal not recorded Receipt not recorded Decision plan not recorded Decision event not recorded Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).	applied	Jun 2, 2026, 11:37 PM
vpr_48bd2c2afdb23008 finding.add	The Shor code [[9,1,3]] (concatenated bit- and phase-flip repetition) encodes 1 logical qubit in 9 physical qubits with distance 3, verified from its eight stabilizer generators.Show roots Proposal not recorded Receipt not recorded Decision plan not recorded Decision event not recorded Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).	applied	Jun 2, 2026, 11:37 PM
vpr_ab419cca4a99a8ea finding.add	The Steane code [[7,1,3]] (CSS from the [7,4,3] Hamming code) encodes 1 logical qubit in 7 physical qubits with distance 3, verified from its six stabilizer generators.Show roots Proposal not recorded Receipt not recorded Decision plan not recorded Decision event not recorded Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).	applied	Jun 2, 2026, 11:37 PM
vpr_1f4196a6758e1b4b finding.add	The perfect five-qubit code [[5,1,3]] (cyclic stabilizers XZZXI and rotations) encodes 1 logical qubit in 5 physical qubits with distance 3, and is optimal at its length.Show roots Proposal not recorded Receipt not recorded Decision plan not recorded Decision event not recorded Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).	applied	Jun 2, 2026, 11:37 PM
vpr_7313028c1077b829 finding.add	The [[4,2,2]] code with stabilizers XXXX, ZZZZ encodes 2 logical qubits in 4 physical qubits with distance 2, verified by exact recomputation of k and d.Show roots Proposal not recorded Receipt not recorded Decision plan not recorded Decision event not recorded Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).	applied	Jun 2, 2026, 11:37 PM
vpr_f7dad07500216d3c artifact.assert	Import artifact va_qcverify00000001 from artifact packet cap_a1b2c3d4e5f60718Show roots Proposal not recorded Receipt not recorded Decision plan not recorded Decision event not recorded Verified stabilizer-code certificate accepted under reviewer authority (frozen verifier exit 0).	applied	Jun 2, 2026, 11:37 PM