{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:4KYVTESBKVZ3EORPDXWHKEXWTB","short_pith_number":"pith:4KYVTESB","schema_version":"1.0","canonical_sha256":"e2b15992415573b23a2f1dec7512f69870a4252045d8fcd4c206ae651c93be10","source":{"kind":"arxiv","id":"quant-ph/0606125","version":1},"attestation_state":"computed","paper":{"title":"Entanglement Purification of Any Stabilizer State","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"E. Knill, H. M. Vasconcelos, S. Glancy","submitted_at":"2006-06-14T17:42:30Z","abstract_excerpt":"We present a method for multipartite entanglement purification of any stabilizer state shared by several parties. In our protocol each party measures the stabilizer operators of a quantum error-correcting code on his or her qubits. The parties exchange their measurement results, detect or correct errors, and decode the desired purified state. We give sufficient conditions on the stabilizer codes that may be used in this procedure and find that Steane's seven-qubit code is the smallest error-correcting code sufficient to purify any stabilizer state. An error-detecting code that encodes two qubi"},"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":"quant-ph/0606125","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-06-14T17:42:30Z","cross_cats_sorted":[],"title_canon_sha256":"3e44b78547932c60af1bb40ddc0d11c83895c50d3e72ba25c8b203ce09a368c7","abstract_canon_sha256":"1a59a5d5af4d8a08f592b2e5258dd811a94729d2190ed4bae5713938cbeb746e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:23.925899Z","signature_b64":"5nUEe7p/HLaGUd1W6S1qtEzbExdvaerxRzWWvwoH66Al/5V/bcRuvGFzVUUu6XCwNu/BjURCsAadkEEXYYF7Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2b15992415573b23a2f1dec7512f69870a4252045d8fcd4c206ae651c93be10","last_reissued_at":"2026-05-18T03:55:23.925239Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:23.925239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement Purification of Any Stabilizer State","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"E. Knill, H. M. Vasconcelos, S. Glancy","submitted_at":"2006-06-14T17:42:30Z","abstract_excerpt":"We present a method for multipartite entanglement purification of any stabilizer state shared by several parties. In our protocol each party measures the stabilizer operators of a quantum error-correcting code on his or her qubits. The parties exchange their measurement results, detect or correct errors, and decode the desired purified state. We give sufficient conditions on the stabilizer codes that may be used in this procedure and find that Steane's seven-qubit code is the smallest error-correcting code sufficient to purify any stabilizer state. An error-detecting code that encodes two qubi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0606125","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":"quant-ph/0606125","created_at":"2026-05-18T03:55:23.925366+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0606125v1","created_at":"2026-05-18T03:55:23.925366+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0606125","created_at":"2026-05-18T03:55:23.925366+00:00"},{"alias_kind":"pith_short_12","alias_value":"4KYVTESBKVZ3","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"4KYVTESBKVZ3EORP","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"4KYVTESB","created_at":"2026-05-18T12:25:53.939244+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/4KYVTESBKVZ3EORPDXWHKEXWTB","json":"https://pith.science/pith/4KYVTESBKVZ3EORPDXWHKEXWTB.json","graph_json":"https://pith.science/api/pith-number/4KYVTESBKVZ3EORPDXWHKEXWTB/graph.json","events_json":"https://pith.science/api/pith-number/4KYVTESBKVZ3EORPDXWHKEXWTB/events.json","paper":"https://pith.science/paper/4KYVTESB"},"agent_actions":{"view_html":"https://pith.science/pith/4KYVTESBKVZ3EORPDXWHKEXWTB","download_json":"https://pith.science/pith/4KYVTESBKVZ3EORPDXWHKEXWTB.json","view_paper":"https://pith.science/paper/4KYVTESB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0606125&json=true","fetch_graph":"https://pith.science/api/pith-number/4KYVTESBKVZ3EORPDXWHKEXWTB/graph.json","fetch_events":"https://pith.science/api/pith-number/4KYVTESBKVZ3EORPDXWHKEXWTB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4KYVTESBKVZ3EORPDXWHKEXWTB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4KYVTESBKVZ3EORPDXWHKEXWTB/action/storage_attestation","attest_author":"https://pith.science/pith/4KYVTESBKVZ3EORPDXWHKEXWTB/action/author_attestation","sign_citation":"https://pith.science/pith/4KYVTESBKVZ3EORPDXWHKEXWTB/action/citation_signature","submit_replication":"https://pith.science/pith/4KYVTESBKVZ3EORPDXWHKEXWTB/action/replication_record"}},"created_at":"2026-05-18T03:55:23.925366+00:00","updated_at":"2026-05-18T03:55:23.925366+00:00"}