{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:IR3LZHYJO5BWTA7MZMKRS6WDFW","short_pith_number":"pith:IR3LZHYJ","schema_version":"1.0","canonical_sha256":"4476bc9f0977436983eccb15197ac32db5ae0cf3a346e5ce4a25a8d38d487a4e","source":{"kind":"arxiv","id":"1509.06591","version":2},"attestation_state":"computed","paper":{"title":"Detecting Consistency of Overlapping Quantum Marginals by Separability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bei Zeng, Jianxin Chen, Nengkun Yu, Zhengfeng Ji","submitted_at":"2015-09-22T13:22:07Z","abstract_excerpt":"The quantum marginal problem asks whether a set of given density matrices are consistent, i.e., whether they can be the reduced density matrices of a global quantum state. Not many non-trivial analytic necessary (or sufficient) conditions are known for the problem in general. We propose a method to detect consistency of overlapping quantum marginals by considering the separability of some derived states. Our method works well for the $k$-symmetric extension problem in general, and for the general overlapping marginal problems in some cases. Our work is, in some sense, the converse to the well-"},"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":"1509.06591","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-22T13:22:07Z","cross_cats_sorted":[],"title_canon_sha256":"e3f5adb83f0bcd5d1a41b2e514347abf9145b7f68263070c041eadf40d0098bf","abstract_canon_sha256":"6a94b8e3e762a927732070dcda8b77cb5005137def297801e3612a13451eb492"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:29.485414Z","signature_b64":"Gu+7b0TZ7PQdE2WS9gLR2Yo4jfb/lC0mSdnSKnLUVQsQXfG4VzfPCtte/KCEUGKdA2KBhCkh5NiDFEM2F+QvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4476bc9f0977436983eccb15197ac32db5ae0cf3a346e5ce4a25a8d38d487a4e","last_reissued_at":"2026-05-18T01:19:29.484846Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:29.484846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Detecting Consistency of Overlapping Quantum Marginals by Separability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bei Zeng, Jianxin Chen, Nengkun Yu, Zhengfeng Ji","submitted_at":"2015-09-22T13:22:07Z","abstract_excerpt":"The quantum marginal problem asks whether a set of given density matrices are consistent, i.e., whether they can be the reduced density matrices of a global quantum state. Not many non-trivial analytic necessary (or sufficient) conditions are known for the problem in general. We propose a method to detect consistency of overlapping quantum marginals by considering the separability of some derived states. Our method works well for the $k$-symmetric extension problem in general, and for the general overlapping marginal problems in some cases. Our work is, in some sense, the converse to the well-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06591","kind":"arxiv","version":2},"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":"1509.06591","created_at":"2026-05-18T01:19:29.484919+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.06591v2","created_at":"2026-05-18T01:19:29.484919+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06591","created_at":"2026-05-18T01:19:29.484919+00:00"},{"alias_kind":"pith_short_12","alias_value":"IR3LZHYJO5BW","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"IR3LZHYJO5BWTA7M","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"IR3LZHYJ","created_at":"2026-05-18T12:29:25.134429+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/IR3LZHYJO5BWTA7MZMKRS6WDFW","json":"https://pith.science/pith/IR3LZHYJO5BWTA7MZMKRS6WDFW.json","graph_json":"https://pith.science/api/pith-number/IR3LZHYJO5BWTA7MZMKRS6WDFW/graph.json","events_json":"https://pith.science/api/pith-number/IR3LZHYJO5BWTA7MZMKRS6WDFW/events.json","paper":"https://pith.science/paper/IR3LZHYJ"},"agent_actions":{"view_html":"https://pith.science/pith/IR3LZHYJO5BWTA7MZMKRS6WDFW","download_json":"https://pith.science/pith/IR3LZHYJO5BWTA7MZMKRS6WDFW.json","view_paper":"https://pith.science/paper/IR3LZHYJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.06591&json=true","fetch_graph":"https://pith.science/api/pith-number/IR3LZHYJO5BWTA7MZMKRS6WDFW/graph.json","fetch_events":"https://pith.science/api/pith-number/IR3LZHYJO5BWTA7MZMKRS6WDFW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IR3LZHYJO5BWTA7MZMKRS6WDFW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IR3LZHYJO5BWTA7MZMKRS6WDFW/action/storage_attestation","attest_author":"https://pith.science/pith/IR3LZHYJO5BWTA7MZMKRS6WDFW/action/author_attestation","sign_citation":"https://pith.science/pith/IR3LZHYJO5BWTA7MZMKRS6WDFW/action/citation_signature","submit_replication":"https://pith.science/pith/IR3LZHYJO5BWTA7MZMKRS6WDFW/action/replication_record"}},"created_at":"2026-05-18T01:19:29.484919+00:00","updated_at":"2026-05-18T01:19:29.484919+00:00"}