{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:22BMF2JRDMV3LAI4YEHG736A5R","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":"9eed71bb666048d3c3bb76c76985e65134977ae4045d9065fba8e740785c1e92","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2003-08-01T07:43:29Z","title_canon_sha256":"9de52ab2bcf07a117a58532f84edc4f75e6cdee78af58bc2598989ded1762bec"},"schema_version":"1.0","source":{"id":"quant-ph/0308006","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0308006","created_at":"2026-07-04T16:42:34Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0308006v3","created_at":"2026-07-04T16:42:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0308006","created_at":"2026-07-04T16:42:34Z"},{"alias_kind":"pith_short_12","alias_value":"22BMF2JRDMV3","created_at":"2026-07-04T16:42:34Z"},{"alias_kind":"pith_short_16","alias_value":"22BMF2JRDMV3LAI4","created_at":"2026-07-04T16:42:34Z"},{"alias_kind":"pith_short_8","alias_value":"22BMF2JR","created_at":"2026-07-04T16:42:34Z"}],"graph_snapshots":[{"event_id":"sha256:236b2f86210b476ac388d815076557b4479e346d064433f7006e3b641913864b","target":"graph","created_at":"2026-07-04T16:42:34Z","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/0308006/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In order to demonstrate non-trivial quantum computations experimentally, such as the synthesis of arbitrary entangled states, it will be useful to understand how to decompose a desired quantum computation into the shortest possible sequence of one-qubit and two-qubit gates. We contribute to this effort by providing a method to construct an optimal quantum circuit for a general two-qubit gate that requires at most 3 CNOT gates and 15 elementary one-qubit gates. Moreover, if the desired two-qubit gate corresponds to a purely real unitary transformation, we provide a construction that requires at","authors_text":"Colin Williams, Farrokh Vatan","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2003-08-01T07:43:29Z","title":"Optimal Quantum Circuits for General Two-Qubit Gates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0308006","kind":"arxiv","version":3},"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":"sha256:02d598b308e814bfd7540c9e07d17ad902d4c7e15df3cc291a6d562c1403a062","target":"record","created_at":"2026-07-04T16:42:34Z","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":"9eed71bb666048d3c3bb76c76985e65134977ae4045d9065fba8e740785c1e92","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2003-08-01T07:43:29Z","title_canon_sha256":"9de52ab2bcf07a117a58532f84edc4f75e6cdee78af58bc2598989ded1762bec"},"schema_version":"1.0","source":{"id":"quant-ph/0308006","kind":"arxiv","version":3}},"canonical_sha256":"d682c2e9311b2bb5811cc10e6fefc0ec7e54d544722452cf1c175c146a134288","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d682c2e9311b2bb5811cc10e6fefc0ec7e54d544722452cf1c175c146a134288","first_computed_at":"2026-07-04T16:42:34.815711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:42:34.815711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TBGTa8ZSwTiEj/VlGYPsUjDxhgVv3UGteIZmhwQPnyBFD3nWvEx4QbgPsawSybldfvFrSZHu659t0x4Cvfb9Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:42:34.816142Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0308006","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02d598b308e814bfd7540c9e07d17ad902d4c7e15df3cc291a6d562c1403a062","sha256:236b2f86210b476ac388d815076557b4479e346d064433f7006e3b641913864b"],"state_sha256":"d52527b88176a2eea07cb09e0761636afdc56818632f81dad4d4687c80ca631f"}