{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MIS5IDCNM2CXMVRNUDNABP22JD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8da1a265059798527eec6764dcd208ad9bd14e972ced91cec35c93d1d5e66b44","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-03-06T18:59:00Z","title_canon_sha256":"0c2adfde4e2ce6f3d677ff52a71f51f4733086de587efcff06318e3021ccc38b"},"schema_version":"1.0","source":{"id":"2403.03955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.03955","created_at":"2026-07-05T07:53:04Z"},{"alias_kind":"arxiv_version","alias_value":"2403.03955v1","created_at":"2026-07-05T07:53:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.03955","created_at":"2026-07-05T07:53:04Z"},{"alias_kind":"pith_short_12","alias_value":"MIS5IDCNM2CX","created_at":"2026-07-05T07:53:04Z"},{"alias_kind":"pith_short_16","alias_value":"MIS5IDCNM2CXMVRN","created_at":"2026-07-05T07:53:04Z"},{"alias_kind":"pith_short_8","alias_value":"MIS5IDCN","created_at":"2026-07-05T07:53:04Z"}],"graph_snapshots":[{"event_id":"sha256:f3ff50879806a9e9b9c2c18f441bc46cc073f6975ec1f22b578b8c281364daa8","target":"graph","created_at":"2026-07-05T07:53:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.03955/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of a generic stabilizer Hamiltonian under local, incoherent Pauli errors. Using two different approaches -- (i) Haah's polynomial formalism arXiv:1204.1063 and (ii) the homological perspective on CSS codes -- we construct a mapping from the $n$th moment of the decohered ground state density matrix to a classical statistical mechanics model. We demonstrate that various measures of information capacity -- (i) quantum relative entropy, (ii) coherent information, and (iii) entanglement negativity -- map to thermodynamic quantities in the statistical mechanics model and can ","authors_text":"Anasuya Lyons","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-03-06T18:59:00Z","title":"Understanding Stabilizer Codes Under Local Decoherence Through a General Statistical Mechanics Mapping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.03955","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4f0da5a61d976af64514282b0ee13d1694d07ef243adb8de1a72ce219bcc3d88","target":"record","created_at":"2026-07-05T07:53:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8da1a265059798527eec6764dcd208ad9bd14e972ced91cec35c93d1d5e66b44","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-03-06T18:59:00Z","title_canon_sha256":"0c2adfde4e2ce6f3d677ff52a71f51f4733086de587efcff06318e3021ccc38b"},"schema_version":"1.0","source":{"id":"2403.03955","kind":"arxiv","version":1}},"canonical_sha256":"6225d40c4d668576562da0da00bf5a48ec1f2855631465beba7d3234f32ba150","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6225d40c4d668576562da0da00bf5a48ec1f2855631465beba7d3234f32ba150","first_computed_at":"2026-07-05T07:53:04.012184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:53:04.012184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2qZR41xBwvK2IidmxKtyJVeOd7ljdJ7iZaCKoHg4f2UGBkTNL4uZeRNMr0rrSpgRwlXtce9puhoM1Z27QpLuBA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:53:04.012678Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.03955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f0da5a61d976af64514282b0ee13d1694d07ef243adb8de1a72ce219bcc3d88","sha256:f3ff50879806a9e9b9c2c18f441bc46cc073f6975ec1f22b578b8c281364daa8"],"state_sha256":"c7280a63267fa04fb3a6cbb32af76e9e44f29e6660dffbfb8d7d9626d29301e2"}