{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:BYZ6OWMOWP5ZWI5AMRHQN5M4A2","short_pith_number":"pith:BYZ6OWMO","schema_version":"1.0","canonical_sha256":"0e33e7598eb3fb9b23a0644f06f59c06b4e2c3d2e66d486bc498c00e5c251522","source":{"kind":"arxiv","id":"0911.3843","version":1},"attestation_state":"computed","paper":{"title":"Limitations of Passive Protection of Quantum Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alastair Kay, Fernando Pastawski, Ignacio Cirac, Norbert Schuch","submitted_at":"2009-11-19T17:10:03Z","abstract_excerpt":"The ability to protect quantum information from the effect of noise is one of the major goals of quantum information processing. In this article, we study limitations on the asymptotic stability of quantum information stored in passive N-qubit systems. We consider the effect of small imperfections in the implementation of the protecting Hamiltonian in the form of perturbations or weak coupling to a ground state environment. We prove that, regardless of the protecting Hamiltonian, there exists a perturbed evolution that necessitates a final error correcting step when the state of the memory is "},"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":"0911.3843","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-11-19T17:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"4d6f240e0ce697c889c9b43b3eefc868e8fbf87b760dce2676aaf54c5ef0248b","abstract_canon_sha256":"182a15c364e81e496be2ee4749dc6a28846d1593ee9c67ac2e7dc78332682c15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:16.756035Z","signature_b64":"25u9twU8NmOvdyDJ4Y4hv46u8q7Al0YhQdks6zBdsSMbffCZ+bbpY/LqCYom48I3D8Pq+Li2QsW30L0BhzfgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e33e7598eb3fb9b23a0644f06f59c06b4e2c3d2e66d486bc498c00e5c251522","last_reissued_at":"2026-05-18T04:39:16.751762Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:16.751762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Limitations of Passive Protection of Quantum Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alastair Kay, Fernando Pastawski, Ignacio Cirac, Norbert Schuch","submitted_at":"2009-11-19T17:10:03Z","abstract_excerpt":"The ability to protect quantum information from the effect of noise is one of the major goals of quantum information processing. In this article, we study limitations on the asymptotic stability of quantum information stored in passive N-qubit systems. We consider the effect of small imperfections in the implementation of the protecting Hamiltonian in the form of perturbations or weak coupling to a ground state environment. We prove that, regardless of the protecting Hamiltonian, there exists a perturbed evolution that necessitates a final error correcting step when the state of the memory is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.3843","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":""},"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":"0911.3843","created_at":"2026-05-18T04:39:16.755348+00:00"},{"alias_kind":"arxiv_version","alias_value":"0911.3843v1","created_at":"2026-05-18T04:39:16.755348+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.3843","created_at":"2026-05-18T04:39:16.755348+00:00"},{"alias_kind":"pith_short_12","alias_value":"BYZ6OWMOWP5Z","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"BYZ6OWMOWP5ZWI5A","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"BYZ6OWMO","created_at":"2026-05-18T12:25:58.837520+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BYZ6OWMOWP5ZWI5AMRHQN5M4A2","json":"https://pith.science/pith/BYZ6OWMOWP5ZWI5AMRHQN5M4A2.json","graph_json":"https://pith.science/api/pith-number/BYZ6OWMOWP5ZWI5AMRHQN5M4A2/graph.json","events_json":"https://pith.science/api/pith-number/BYZ6OWMOWP5ZWI5AMRHQN5M4A2/events.json","paper":"https://pith.science/paper/BYZ6OWMO"},"agent_actions":{"view_html":"https://pith.science/pith/BYZ6OWMOWP5ZWI5AMRHQN5M4A2","download_json":"https://pith.science/pith/BYZ6OWMOWP5ZWI5AMRHQN5M4A2.json","view_paper":"https://pith.science/paper/BYZ6OWMO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0911.3843&json=true","fetch_graph":"https://pith.science/api/pith-number/BYZ6OWMOWP5ZWI5AMRHQN5M4A2/graph.json","fetch_events":"https://pith.science/api/pith-number/BYZ6OWMOWP5ZWI5AMRHQN5M4A2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BYZ6OWMOWP5ZWI5AMRHQN5M4A2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BYZ6OWMOWP5ZWI5AMRHQN5M4A2/action/storage_attestation","attest_author":"https://pith.science/pith/BYZ6OWMOWP5ZWI5AMRHQN5M4A2/action/author_attestation","sign_citation":"https://pith.science/pith/BYZ6OWMOWP5ZWI5AMRHQN5M4A2/action/citation_signature","submit_replication":"https://pith.science/pith/BYZ6OWMOWP5ZWI5AMRHQN5M4A2/action/replication_record"}},"created_at":"2026-05-18T04:39:16.755348+00:00","updated_at":"2026-05-18T04:39:16.755348+00:00"}