{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:NJP7F5W5W65U7WZ6CQ3QLI2B2B","short_pith_number":"pith:NJP7F5W5","schema_version":"1.0","canonical_sha256":"6a5ff2f6ddb7bb4fdb3e143705a341d0751f61e4f15525c5fe8f78bf2d04b842","source":{"kind":"arxiv","id":"1904.01999","version":1},"attestation_state":"computed","paper":{"title":"Partition of 3-qubits using local gates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Oscar Perdomo","submitted_at":"2019-04-03T13:40:48Z","abstract_excerpt":"It is well known that local gates have smaller error than non-local gates. For this reason it is natural to make two states equivalent if they differ by a local gate. Since two states that differ by a local gate have the same entanglement entropy, then the entanglement entropy defines a function in the quotient space. In this paper we study this equivalence relation on (i) the set $\\mathbb{R}\\hbox{Q}(3)$ of 3-qubit states with real amplitudes, (ii) the set $Q\\mathcal{C}$ of 3-qubit states that can be prepared with gates on the Clifford group, and (iii) the set $Q\\mathbb{R}\\mathcal{C}$ of 3-qub"},"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":"1904.01999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-03T13:40:48Z","cross_cats_sorted":[],"title_canon_sha256":"ac197b5cdb0ecbfc0fc691689cc4b340fa6c03a72dcdeec23b80942b3288c3de","abstract_canon_sha256":"96f2dcac84a7a102dfb1414194157341143d1b73f50f138fb966768283137a29"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:29.028267Z","signature_b64":"hAhWhtYfuq62skkVpyLgMCcU9iurTOKGYRTCNOetUW6JYvdQm3dsyPspY4kjaV+oc19fhff+RVxt7S2EaZCfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a5ff2f6ddb7bb4fdb3e143705a341d0751f61e4f15525c5fe8f78bf2d04b842","last_reissued_at":"2026-05-17T23:49:29.027553Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:29.027553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partition of 3-qubits using local gates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Oscar Perdomo","submitted_at":"2019-04-03T13:40:48Z","abstract_excerpt":"It is well known that local gates have smaller error than non-local gates. For this reason it is natural to make two states equivalent if they differ by a local gate. Since two states that differ by a local gate have the same entanglement entropy, then the entanglement entropy defines a function in the quotient space. In this paper we study this equivalence relation on (i) the set $\\mathbb{R}\\hbox{Q}(3)$ of 3-qubit states with real amplitudes, (ii) the set $Q\\mathcal{C}$ of 3-qubit states that can be prepared with gates on the Clifford group, and (iii) the set $Q\\mathbb{R}\\mathcal{C}$ of 3-qub"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.01999","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":"1904.01999","created_at":"2026-05-17T23:49:29.027676+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.01999v1","created_at":"2026-05-17T23:49:29.027676+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.01999","created_at":"2026-05-17T23:49:29.027676+00:00"},{"alias_kind":"pith_short_12","alias_value":"NJP7F5W5W65U","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"NJP7F5W5W65U7WZ6","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"NJP7F5W5","created_at":"2026-05-18T12:33:24.271573+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/NJP7F5W5W65U7WZ6CQ3QLI2B2B","json":"https://pith.science/pith/NJP7F5W5W65U7WZ6CQ3QLI2B2B.json","graph_json":"https://pith.science/api/pith-number/NJP7F5W5W65U7WZ6CQ3QLI2B2B/graph.json","events_json":"https://pith.science/api/pith-number/NJP7F5W5W65U7WZ6CQ3QLI2B2B/events.json","paper":"https://pith.science/paper/NJP7F5W5"},"agent_actions":{"view_html":"https://pith.science/pith/NJP7F5W5W65U7WZ6CQ3QLI2B2B","download_json":"https://pith.science/pith/NJP7F5W5W65U7WZ6CQ3QLI2B2B.json","view_paper":"https://pith.science/paper/NJP7F5W5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.01999&json=true","fetch_graph":"https://pith.science/api/pith-number/NJP7F5W5W65U7WZ6CQ3QLI2B2B/graph.json","fetch_events":"https://pith.science/api/pith-number/NJP7F5W5W65U7WZ6CQ3QLI2B2B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NJP7F5W5W65U7WZ6CQ3QLI2B2B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NJP7F5W5W65U7WZ6CQ3QLI2B2B/action/storage_attestation","attest_author":"https://pith.science/pith/NJP7F5W5W65U7WZ6CQ3QLI2B2B/action/author_attestation","sign_citation":"https://pith.science/pith/NJP7F5W5W65U7WZ6CQ3QLI2B2B/action/citation_signature","submit_replication":"https://pith.science/pith/NJP7F5W5W65U7WZ6CQ3QLI2B2B/action/replication_record"}},"created_at":"2026-05-17T23:49:29.027676+00:00","updated_at":"2026-05-17T23:49:29.027676+00:00"}