{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:MIS5IDCNM2CXMVRNUDNABP22JD","short_pith_number":"pith:MIS5IDCN","schema_version":"1.0","canonical_sha256":"6225d40c4d668576562da0da00bf5a48ec1f2855631465beba7d3234f32ba150","source":{"kind":"arxiv","id":"2403.03955","version":1},"attestation_state":"computed","paper":{"title":"Understanding Stabilizer Codes Under Local Decoherence Through a General Statistical Mechanics Mapping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Anasuya Lyons","submitted_at":"2024-03-06T18:59:00Z","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 "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2403.03955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-03-06T18:59:00Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"0c2adfde4e2ce6f3d677ff52a71f51f4733086de587efcff06318e3021ccc38b","abstract_canon_sha256":"8da1a265059798527eec6764dcd208ad9bd14e972ced91cec35c93d1d5e66b44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:53:04.012678Z","signature_b64":"2qZR41xBwvK2IidmxKtyJVeOd7ljdJ7iZaCKoHg4f2UGBkTNL4uZeRNMr0rrSpgRwlXtce9puhoM1Z27QpLuBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6225d40c4d668576562da0da00bf5a48ec1f2855631465beba7d3234f32ba150","last_reissued_at":"2026-07-05T07:53:04.012184Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:53:04.012184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Understanding Stabilizer Codes Under Local Decoherence Through a General Statistical Mechanics Mapping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Anasuya Lyons","submitted_at":"2024-03-06T18:59:00Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.03955","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.03955/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2403.03955","created_at":"2026-07-05T07:53:04.012242+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.03955v1","created_at":"2026-07-05T07:53:04.012242+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.03955","created_at":"2026-07-05T07:53:04.012242+00:00"},{"alias_kind":"pith_short_12","alias_value":"MIS5IDCNM2CX","created_at":"2026-07-05T07:53:04.012242+00:00"},{"alias_kind":"pith_short_16","alias_value":"MIS5IDCNM2CXMVRN","created_at":"2026-07-05T07:53:04.012242+00:00"},{"alias_kind":"pith_short_8","alias_value":"MIS5IDCN","created_at":"2026-07-05T07:53:04.012242+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.26235","citing_title":"Measures of Chirality in Mixed-State Topological Phases","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2510.00548","citing_title":"Phase Transitions and Noise Robustness of Quantum Graph States","ref_index":36,"is_internal_anchor":false},{"citing_arxiv_id":"2511.21685","citing_title":"Holographically Emergent Gauge Theory in Symmetric Quantum Circuits","ref_index":41,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MIS5IDCNM2CXMVRNUDNABP22JD","json":"https://pith.science/pith/MIS5IDCNM2CXMVRNUDNABP22JD.json","graph_json":"https://pith.science/api/pith-number/MIS5IDCNM2CXMVRNUDNABP22JD/graph.json","events_json":"https://pith.science/api/pith-number/MIS5IDCNM2CXMVRNUDNABP22JD/events.json","paper":"https://pith.science/paper/MIS5IDCN"},"agent_actions":{"view_html":"https://pith.science/pith/MIS5IDCNM2CXMVRNUDNABP22JD","download_json":"https://pith.science/pith/MIS5IDCNM2CXMVRNUDNABP22JD.json","view_paper":"https://pith.science/paper/MIS5IDCN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.03955&json=true","fetch_graph":"https://pith.science/api/pith-number/MIS5IDCNM2CXMVRNUDNABP22JD/graph.json","fetch_events":"https://pith.science/api/pith-number/MIS5IDCNM2CXMVRNUDNABP22JD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MIS5IDCNM2CXMVRNUDNABP22JD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MIS5IDCNM2CXMVRNUDNABP22JD/action/storage_attestation","attest_author":"https://pith.science/pith/MIS5IDCNM2CXMVRNUDNABP22JD/action/author_attestation","sign_citation":"https://pith.science/pith/MIS5IDCNM2CXMVRNUDNABP22JD/action/citation_signature","submit_replication":"https://pith.science/pith/MIS5IDCNM2CXMVRNUDNABP22JD/action/replication_record"}},"created_at":"2026-07-05T07:53:04.012242+00:00","updated_at":"2026-07-05T07:53:04.012242+00:00"}