{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KKDG7PTH6DBED54O5DB7DVCKKC","short_pith_number":"pith:KKDG7PTH","schema_version":"1.0","canonical_sha256":"52866fbe67f0c241f78ee8c3f1d44a50bb26dd3e6e6ccd1309bee494878c1b1e","source":{"kind":"arxiv","id":"1603.01731","version":1},"attestation_state":"computed","paper":{"title":"The local indistinguishability of multipartite product states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Mao-Sheng Li, Shao-Ming Fei, Yan-Ling Wang, Zhu-Jun Zheng","submitted_at":"2016-03-05T14:27:02Z","abstract_excerpt":"In this paper, we mainly study the local indistinguishability of multipartite product states. Firstly, we follow the method of Z.-C. Zhang \\emph{et al}[Phys. Rev. A 93, 012314(2016)] to give another more concise set of $2n-1$ orthogonal product states in $\\mathbb{C}^m\\otimes\\mathbb{C}^n(4\\leq m\\leq n)$ which can not be distinguished by local operations and classical communication(LOCC). Then we use the 3 dimension cubes to present some product states which give us an intuitive view how to construct locally indistinguishable product states in tripartite quantum system. At last, we give an expli"},"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":"1603.01731","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-05T14:27:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7e780f5fb57482a50e6e07d26fe28b987f2a9d8c1ab98838c54351b2ae208d65","abstract_canon_sha256":"5fe2dd548b85d7f9eed6a038eeb44a84b767fc6c6bc16fd11ebfe51d3b58dc00"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:34.902286Z","signature_b64":"xNuUCQCfD2Pzt9zZFAjD+sw/AuWaHOKdS9en/SFkuBQyL7ddD3inWNWk1SmE0l0+oKYQ19n4ei6RI2qsp0zSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52866fbe67f0c241f78ee8c3f1d44a50bb26dd3e6e6ccd1309bee494878c1b1e","last_reissued_at":"2026-05-18T01:19:34.901778Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:34.901778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The local indistinguishability of multipartite product states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Mao-Sheng Li, Shao-Ming Fei, Yan-Ling Wang, Zhu-Jun Zheng","submitted_at":"2016-03-05T14:27:02Z","abstract_excerpt":"In this paper, we mainly study the local indistinguishability of multipartite product states. Firstly, we follow the method of Z.-C. Zhang \\emph{et al}[Phys. Rev. A 93, 012314(2016)] to give another more concise set of $2n-1$ orthogonal product states in $\\mathbb{C}^m\\otimes\\mathbb{C}^n(4\\leq m\\leq n)$ which can not be distinguished by local operations and classical communication(LOCC). Then we use the 3 dimension cubes to present some product states which give us an intuitive view how to construct locally indistinguishable product states in tripartite quantum system. At last, we give an expli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01731","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":"1603.01731","created_at":"2026-05-18T01:19:34.901848+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.01731v1","created_at":"2026-05-18T01:19:34.901848+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01731","created_at":"2026-05-18T01:19:34.901848+00:00"},{"alias_kind":"pith_short_12","alias_value":"KKDG7PTH6DBE","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"KKDG7PTH6DBED54O","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"KKDG7PTH","created_at":"2026-05-18T12:30:25.849896+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/KKDG7PTH6DBED54O5DB7DVCKKC","json":"https://pith.science/pith/KKDG7PTH6DBED54O5DB7DVCKKC.json","graph_json":"https://pith.science/api/pith-number/KKDG7PTH6DBED54O5DB7DVCKKC/graph.json","events_json":"https://pith.science/api/pith-number/KKDG7PTH6DBED54O5DB7DVCKKC/events.json","paper":"https://pith.science/paper/KKDG7PTH"},"agent_actions":{"view_html":"https://pith.science/pith/KKDG7PTH6DBED54O5DB7DVCKKC","download_json":"https://pith.science/pith/KKDG7PTH6DBED54O5DB7DVCKKC.json","view_paper":"https://pith.science/paper/KKDG7PTH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.01731&json=true","fetch_graph":"https://pith.science/api/pith-number/KKDG7PTH6DBED54O5DB7DVCKKC/graph.json","fetch_events":"https://pith.science/api/pith-number/KKDG7PTH6DBED54O5DB7DVCKKC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KKDG7PTH6DBED54O5DB7DVCKKC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KKDG7PTH6DBED54O5DB7DVCKKC/action/storage_attestation","attest_author":"https://pith.science/pith/KKDG7PTH6DBED54O5DB7DVCKKC/action/author_attestation","sign_citation":"https://pith.science/pith/KKDG7PTH6DBED54O5DB7DVCKKC/action/citation_signature","submit_replication":"https://pith.science/pith/KKDG7PTH6DBED54O5DB7DVCKKC/action/replication_record"}},"created_at":"2026-05-18T01:19:34.901848+00:00","updated_at":"2026-05-18T01:19:34.901848+00:00"}