Raw Parity Matrices for Genus-5 CSS Surface Code (Restricted M&A Asset)

Raw Parity Matrices for Genus-5 CSS Surface Code (Restricted M&A Asset) CONFIDENTIAL AND PROPRIETARY ASSET. This dataset contains the production-validated, machine-readable definition of the proprietary Genus-5 topological CSS surface code: the full 412 x 832 Hx and Hz parity check matrices over GF(2), the 10 x 832 logical operator representatives (Lx, Lz) with canonical symplectic pairing Lx·Lz^T = I_10, the syndrome extraction schedule, the Stim circuit, decoder hints, and the complete machine-checkable production validation record. Included files File Contents codes_genus5_v4.4_production.json Full production artifact: parity matrices, logical representatives, extraction schedule, Stim circuit, tanner graph, noise model, benchmark results, and the machine-checkable production validation block (checks, caveats, known defects) codes_genus5_v4.4_production.json.sha256 SHA-256 sidecar pinning the exact bytes of the JSON artifact Asset specifications Code parameters: [[832, 10, 5 <= d <= 52]] CSS topological surface code, genus g = 5 Parity matrices: Hx and Hz, 412 checks x 832 physical qubits over GF(2); CSS-orthogonal Logical representatives: Lx, Lz, 10 x 832; Lx·Lz^T = I_10 Qubit weights: 56-60 per-qubit check degree; check column weights in [26, 32] Distance: d >= 5 proven exhaustive (pair-XOR meet-in-the-middle: all C(832,2) = 345,696 qubit-pair syndromes hashed per sector; no kernel vectors of weight <= 4 in ker(Hx) or ker(Hz)); d <= 52 from shipped logical representative weights; exact distance remains open Noise model: reference (non-fitted) model, documented in-artifact Decoder characterization: 6-point BPOSD logical-error-rate grid (p = 0.0002..0.008, pooled) plus 4-point beam32 LER curves; threshold interval [0.0002, 0.008] stated by continuity (no measured crossing) Circuit characterization: real 1656-qubit 2-round Stim Z-memory circuit executed; detector mapping validated; Stim observable rate and single-shot BPOSD characterization at reference noise Validation record: production_validation block with machine-checkable checks; caveats and known defects retained in-artifact, including BPOSD-LOWPRIOR-0005 (BPOSD returns residual-faithful corrections that fail the logical test on a fraction of Hx-sector single-qubit-flip syndromes; Hz sector unaffected in the same sample) Verification SHA-256: eb86391804dcf7bcc975a86b4b503a157a8400370ea8f0fac9b99c345dbc7fda Verify with: sha256sum -c codes_genus5_v4.4_production.json.sha256 The SHA-256 hash of the JSON file mathematically binds to the public Zero-Knowledge Manifest: https://doi.org/10.5281/zenodo.21422677 Provenance Version 4.4.0-production supersedes 4.3.0-production (matrices bit-identical; 4.4.0 adds the scientific_status block, the BPOSD/beam32 LER claims, the threshold interval, and the Stim circuit characterization). Legal notice This dataset is strictly restricted. Access is granted solely to authorized personnel participating in the proprietary M&A due diligence process under an executed Non-Disclosure Agreement (NDA). Unauthorized distribution, reverse-engineering, or public disclosure is strictly prohibited.