{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:Y3J627EWD7X3DQPQCB2P6KSTMM","short_pith_number":"pith:Y3J627EW","schema_version":"1.0","canonical_sha256":"c6d3ed7c961fefb1c1f01074ff2a536332274347678a7be68effdf1774702d45","source":{"kind":"arxiv","id":"1504.05805","version":4},"attestation_state":"computed","paper":{"title":"Markovianizing Cost of Tripartite Quantum States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Akihito Soeda, Eyuri Wakakuwa, Mio Murao","submitted_at":"2015-04-22T13:50:08Z","abstract_excerpt":"We introduce and analyze a task that we call Markovianization, in which a tripartite quantum state is transformed to a quantum Markov chain by a randomizing operation on one of the three subsystems. We consider cases where the initial state is the tensor product of $n$ copies of a tripartite state $\\rho^{ABC}$, and is transformed to a quantum Markov chain conditioned by $B^n$ with a small error, using a random unitary operation on $A^n$. In an asymptotic limit of infinite copies and vanishingly small error, we analyze the Markovianizing cost, that is, the minimum cost of randomness per copy re"},"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":"1504.05805","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-22T13:50:08Z","cross_cats_sorted":[],"title_canon_sha256":"929cfaef88f5723cccd2c5516e4f20697392eb491ab3894ef4aa597a17d22c58","abstract_canon_sha256":"5aa6154a5bcb297108b33bb5b72a3bb2471a7674ac5b4477508264313bdefc78"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:33.223304Z","signature_b64":"CK+a9lrmuxngjH2X3cU2MUi++EyZKkB44KebqKuntwS1Xw8jJ34P9sUd3VoRRbkMl/+iL6bHpNRwWX3DE1cxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6d3ed7c961fefb1c1f01074ff2a536332274347678a7be68effdf1774702d45","last_reissued_at":"2026-05-18T00:48:33.222676Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:33.222676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Markovianizing Cost of Tripartite Quantum States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Akihito Soeda, Eyuri Wakakuwa, Mio Murao","submitted_at":"2015-04-22T13:50:08Z","abstract_excerpt":"We introduce and analyze a task that we call Markovianization, in which a tripartite quantum state is transformed to a quantum Markov chain by a randomizing operation on one of the three subsystems. We consider cases where the initial state is the tensor product of $n$ copies of a tripartite state $\\rho^{ABC}$, and is transformed to a quantum Markov chain conditioned by $B^n$ with a small error, using a random unitary operation on $A^n$. In an asymptotic limit of infinite copies and vanishingly small error, we analyze the Markovianizing cost, that is, the minimum cost of randomness per copy re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05805","kind":"arxiv","version":4},"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":"1504.05805","created_at":"2026-05-18T00:48:33.222769+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.05805v4","created_at":"2026-05-18T00:48:33.222769+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05805","created_at":"2026-05-18T00:48:33.222769+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y3J627EWD7X3","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y3J627EWD7X3DQPQ","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y3J627EW","created_at":"2026-05-18T12:29:50.041715+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/Y3J627EWD7X3DQPQCB2P6KSTMM","json":"https://pith.science/pith/Y3J627EWD7X3DQPQCB2P6KSTMM.json","graph_json":"https://pith.science/api/pith-number/Y3J627EWD7X3DQPQCB2P6KSTMM/graph.json","events_json":"https://pith.science/api/pith-number/Y3J627EWD7X3DQPQCB2P6KSTMM/events.json","paper":"https://pith.science/paper/Y3J627EW"},"agent_actions":{"view_html":"https://pith.science/pith/Y3J627EWD7X3DQPQCB2P6KSTMM","download_json":"https://pith.science/pith/Y3J627EWD7X3DQPQCB2P6KSTMM.json","view_paper":"https://pith.science/paper/Y3J627EW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.05805&json=true","fetch_graph":"https://pith.science/api/pith-number/Y3J627EWD7X3DQPQCB2P6KSTMM/graph.json","fetch_events":"https://pith.science/api/pith-number/Y3J627EWD7X3DQPQCB2P6KSTMM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y3J627EWD7X3DQPQCB2P6KSTMM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y3J627EWD7X3DQPQCB2P6KSTMM/action/storage_attestation","attest_author":"https://pith.science/pith/Y3J627EWD7X3DQPQCB2P6KSTMM/action/author_attestation","sign_citation":"https://pith.science/pith/Y3J627EWD7X3DQPQCB2P6KSTMM/action/citation_signature","submit_replication":"https://pith.science/pith/Y3J627EWD7X3DQPQCB2P6KSTMM/action/replication_record"}},"created_at":"2026-05-18T00:48:33.222769+00:00","updated_at":"2026-05-18T00:48:33.222769+00:00"}