{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DCHTC6TPWQAWVVUX24GPR5ILNM","short_pith_number":"pith:DCHTC6TP","schema_version":"1.0","canonical_sha256":"188f317a6fb4016ad697d70cf8f50b6b3f161d66118cb55e7a96cf596ab7e70d","source":{"kind":"arxiv","id":"1312.3586","version":3},"attestation_state":"computed","paper":{"title":"On superactivation of one-shot zero-error quantum capacity and the related property of quantum measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.OA"],"primary_cat":"quant-ph","authors_text":"M.E. Shirokov, Tatiana Shulman","submitted_at":"2013-12-12T18:45:48Z","abstract_excerpt":"We begin with a detailed description of a low dimensional quantum channel ($d_A=4, d_E=3$) demonstrating the symmetric form of superactivation of one-shot zero-error quantum capacity. This means appearance of a noiseless (perfectly reversible) subchannel in the tensor square of a channel having no noiseless subchannels.\n  Then we describe a quantum channel $\\Phi$ such that $\\,\\bar{Q}_0(\\Phi)=0$ and $\\,\\bar{Q}_0(\\Phi\\otimes\\Phi)\\geq\\log n\\,$ for any $\\,n\\leq+\\infty$.\n  We also show that the superactivation of one-shot zero-error quantum capacity of a channel can be reformulated in terms of quan"},"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":"1312.3586","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-12T18:45:48Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"0bf017ee9263aedc9c83e4114990e654b9bf65ab63aa04bbfcc6dd835121fcd3","abstract_canon_sha256":"2f86839a04f8138322590d0deaae4a242aa651ff6463d3e24e55f20eda58d9c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:43.604702Z","signature_b64":"GA29MAatMSGl4Mxixlgerl89FHbNYpIJWkDmXhMDk9BNvStU9DpPRH2OhO1BQX/eXQNZHsNVr74eXlBVuFN1Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"188f317a6fb4016ad697d70cf8f50b6b3f161d66118cb55e7a96cf596ab7e70d","last_reissued_at":"2026-05-18T01:12:43.604365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:43.604365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On superactivation of one-shot zero-error quantum capacity and the related property of quantum measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.OA"],"primary_cat":"quant-ph","authors_text":"M.E. Shirokov, Tatiana Shulman","submitted_at":"2013-12-12T18:45:48Z","abstract_excerpt":"We begin with a detailed description of a low dimensional quantum channel ($d_A=4, d_E=3$) demonstrating the symmetric form of superactivation of one-shot zero-error quantum capacity. This means appearance of a noiseless (perfectly reversible) subchannel in the tensor square of a channel having no noiseless subchannels.\n  Then we describe a quantum channel $\\Phi$ such that $\\,\\bar{Q}_0(\\Phi)=0$ and $\\,\\bar{Q}_0(\\Phi\\otimes\\Phi)\\geq\\log n\\,$ for any $\\,n\\leq+\\infty$.\n  We also show that the superactivation of one-shot zero-error quantum capacity of a channel can be reformulated in terms of quan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3586","kind":"arxiv","version":3},"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":"1312.3586","created_at":"2026-05-18T01:12:43.604420+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.3586v3","created_at":"2026-05-18T01:12:43.604420+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3586","created_at":"2026-05-18T01:12:43.604420+00:00"},{"alias_kind":"pith_short_12","alias_value":"DCHTC6TPWQAW","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"DCHTC6TPWQAWVVUX","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"DCHTC6TP","created_at":"2026-05-18T12:27:40.988391+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/DCHTC6TPWQAWVVUX24GPR5ILNM","json":"https://pith.science/pith/DCHTC6TPWQAWVVUX24GPR5ILNM.json","graph_json":"https://pith.science/api/pith-number/DCHTC6TPWQAWVVUX24GPR5ILNM/graph.json","events_json":"https://pith.science/api/pith-number/DCHTC6TPWQAWVVUX24GPR5ILNM/events.json","paper":"https://pith.science/paper/DCHTC6TP"},"agent_actions":{"view_html":"https://pith.science/pith/DCHTC6TPWQAWVVUX24GPR5ILNM","download_json":"https://pith.science/pith/DCHTC6TPWQAWVVUX24GPR5ILNM.json","view_paper":"https://pith.science/paper/DCHTC6TP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.3586&json=true","fetch_graph":"https://pith.science/api/pith-number/DCHTC6TPWQAWVVUX24GPR5ILNM/graph.json","fetch_events":"https://pith.science/api/pith-number/DCHTC6TPWQAWVVUX24GPR5ILNM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DCHTC6TPWQAWVVUX24GPR5ILNM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DCHTC6TPWQAWVVUX24GPR5ILNM/action/storage_attestation","attest_author":"https://pith.science/pith/DCHTC6TPWQAWVVUX24GPR5ILNM/action/author_attestation","sign_citation":"https://pith.science/pith/DCHTC6TPWQAWVVUX24GPR5ILNM/action/citation_signature","submit_replication":"https://pith.science/pith/DCHTC6TPWQAWVVUX24GPR5ILNM/action/replication_record"}},"created_at":"2026-05-18T01:12:43.604420+00:00","updated_at":"2026-05-18T01:12:43.604420+00:00"}