{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:F4DAG3SKFDCPE6G2PTTX2RLKUA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8ce9d531f7e4e9d59f91c76f276d7731a65d3e89b5dbbd9c074ad4bb6c370797","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-20T07:09:21Z","title_canon_sha256":"20a31f30d7e8f44500d7f765e01e45ac92146404ae93c26458d2f36486e21bbb"},"schema_version":"1.0","source":{"id":"quant-ph/0501107","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0501107","created_at":"2026-07-04T16:57:28Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0501107v1","created_at":"2026-07-04T16:57:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0501107","created_at":"2026-07-04T16:57:28Z"},{"alias_kind":"pith_short_12","alias_value":"F4DAG3SKFDCP","created_at":"2026-07-04T16:57:28Z"},{"alias_kind":"pith_short_16","alias_value":"F4DAG3SKFDCPE6G2","created_at":"2026-07-04T16:57:28Z"},{"alias_kind":"pith_short_8","alias_value":"F4DAG3SK","created_at":"2026-07-04T16:57:28Z"}],"graph_snapshots":[{"event_id":"sha256:16fa239b5aeeb1df04f4cbe5a8b35635c9341ba8eddb4ae9b3263fec2956ec5f","target":"graph","created_at":"2026-07-04T16:57:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0501107/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop the probabilistic implementation of a nonlocal gate $\\exp{[i\\xi{\\sigma_{n_A}}\\sigma_{n_B}]}$ and $\\xi\\in[0,\\frac\\pi4]$, by using a single non-maximally entangled state. We prove that, nonlocal gates can be implemented with a fidelity greater than 79.3% and a consumption of less than 0.969 ebits and 2 classical bits, when $\\xi\\leq0.353$. This provides a higher bound for the feasible operation compared to the former techniques \\cite{Cirac,Groisman,Bennett-1}. Besides, gates with $\\xi\\geq0.353$ can be implemented with the probability 79.3% and a consumption of 0.969 ebits, which is the","authors_text":"Lin Chen, Yi-Xin Chen","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2005-01-20T07:09:21Z","title":"Probabilistically implementing nonlocal operation using non-maximally entangled state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0501107","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:19d094d4b59496fde62e3d79ecb6f88c40eec05fd0cf15d9ac2565b23789482b","target":"record","created_at":"2026-07-04T16:57:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8ce9d531f7e4e9d59f91c76f276d7731a65d3e89b5dbbd9c074ad4bb6c370797","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-20T07:09:21Z","title_canon_sha256":"20a31f30d7e8f44500d7f765e01e45ac92146404ae93c26458d2f36486e21bbb"},"schema_version":"1.0","source":{"id":"quant-ph/0501107","kind":"arxiv","version":1}},"canonical_sha256":"2f06036e4a28c4f278da7ce77d456aa026d0edb0c3c090dc0262432d2f9db46e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f06036e4a28c4f278da7ce77d456aa026d0edb0c3c090dc0262432d2f9db46e","first_computed_at":"2026-07-04T16:57:28.637741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:57:28.637741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dJ3j8LmNTpDqji0DeuOhQdJQOUVJkovuamTTqP6OEEypdPpg8emGSmJC2pIdk/iCRzUn1olouXSPp3XM7zgGAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:57:28.638145Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0501107","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19d094d4b59496fde62e3d79ecb6f88c40eec05fd0cf15d9ac2565b23789482b","sha256:16fa239b5aeeb1df04f4cbe5a8b35635c9341ba8eddb4ae9b3263fec2956ec5f"],"state_sha256":"b7834892a96dcc70fdeef80e3099e319549f4208af88d0a98430044b8285ce58"}