{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:U6RY5YEJS4625VJL7BKRWXLPBZ","short_pith_number":"pith:U6RY5YEJ","schema_version":"1.0","canonical_sha256":"a7a38ee089973daed52bf8551b5d6f0e57f5d4f6909a4ea9faf48e16e1389018","source":{"kind":"arxiv","id":"1004.5126","version":3},"attestation_state":"computed","paper":{"title":"Local cloning of entangled states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Li Yu, Scott M. Cohen, Vlad Gheorghiu","submitted_at":"2010-04-28T20:02:25Z","abstract_excerpt":"We investigate the conditions under which a set $\\SC$ of pure bipartite quantum states on a $D\\times D$ system can be locally cloned deterministically by separable operations, when at least one of the states is full Schmidt rank. We allow for the possibility of cloning using a resource state that is less than maximally entangled. Our results include that: (i) all states in $\\SC$ must be full Schmidt rank and equally entangled under the $G$-concurrence measure, and (ii) the set $\\SC$ can be extended to a larger clonable set generated by a finite group $G$ of order $|G|=N$, the number of states "},"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":"1004.5126","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-28T20:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"c56d0d7de8018a0649780edb19ad6c556c206980196d6e2bc9b33f67bec395e9","abstract_canon_sha256":"ae46d3e2bdbb88f05531e185d22d8821b50708930f7b036ff051935a9b64dcdc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:15.267808Z","signature_b64":"CrwXCs4/kKVAn7tT/yBkBdCM4JWP8GfRltnnFf/iPpBARD/BG7BB/iXdKpvqCH1dCwSjyRNv4M23JUQsOnjkDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7a38ee089973daed52bf8551b5d6f0e57f5d4f6909a4ea9faf48e16e1389018","last_reissued_at":"2026-05-18T02:24:15.267399Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:15.267399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local cloning of entangled states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Li Yu, Scott M. Cohen, Vlad Gheorghiu","submitted_at":"2010-04-28T20:02:25Z","abstract_excerpt":"We investigate the conditions under which a set $\\SC$ of pure bipartite quantum states on a $D\\times D$ system can be locally cloned deterministically by separable operations, when at least one of the states is full Schmidt rank. We allow for the possibility of cloning using a resource state that is less than maximally entangled. Our results include that: (i) all states in $\\SC$ must be full Schmidt rank and equally entangled under the $G$-concurrence measure, and (ii) the set $\\SC$ can be extended to a larger clonable set generated by a finite group $G$ of order $|G|=N$, the number of states "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5126","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":"1004.5126","created_at":"2026-05-18T02:24:15.267456+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.5126v3","created_at":"2026-05-18T02:24:15.267456+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.5126","created_at":"2026-05-18T02:24:15.267456+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6RY5YEJS462","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6RY5YEJS4625VJL","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6RY5YEJ","created_at":"2026-05-18T12:26:15.391820+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/U6RY5YEJS4625VJL7BKRWXLPBZ","json":"https://pith.science/pith/U6RY5YEJS4625VJL7BKRWXLPBZ.json","graph_json":"https://pith.science/api/pith-number/U6RY5YEJS4625VJL7BKRWXLPBZ/graph.json","events_json":"https://pith.science/api/pith-number/U6RY5YEJS4625VJL7BKRWXLPBZ/events.json","paper":"https://pith.science/paper/U6RY5YEJ"},"agent_actions":{"view_html":"https://pith.science/pith/U6RY5YEJS4625VJL7BKRWXLPBZ","download_json":"https://pith.science/pith/U6RY5YEJS4625VJL7BKRWXLPBZ.json","view_paper":"https://pith.science/paper/U6RY5YEJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.5126&json=true","fetch_graph":"https://pith.science/api/pith-number/U6RY5YEJS4625VJL7BKRWXLPBZ/graph.json","fetch_events":"https://pith.science/api/pith-number/U6RY5YEJS4625VJL7BKRWXLPBZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6RY5YEJS4625VJL7BKRWXLPBZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6RY5YEJS4625VJL7BKRWXLPBZ/action/storage_attestation","attest_author":"https://pith.science/pith/U6RY5YEJS4625VJL7BKRWXLPBZ/action/author_attestation","sign_citation":"https://pith.science/pith/U6RY5YEJS4625VJL7BKRWXLPBZ/action/citation_signature","submit_replication":"https://pith.science/pith/U6RY5YEJS4625VJL7BKRWXLPBZ/action/replication_record"}},"created_at":"2026-05-18T02:24:15.267456+00:00","updated_at":"2026-05-18T02:24:15.267456+00:00"}