{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BDYFSYZWFFDOKSIBIVB7ODNSW4","short_pith_number":"pith:BDYFSYZW","schema_version":"1.0","canonical_sha256":"08f05963362946e549014543f70db2b72911f35fa4de1feb94b4421c634e0578","source":{"kind":"arxiv","id":"1509.08252","version":1},"attestation_state":"computed","paper":{"title":"Cyclic groups and quantum logic gates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arash Pourkia, C. H. Raymond Ooi, J. Batle","submitted_at":"2015-09-28T09:36:31Z","abstract_excerpt":"We present a formula for an infinite number of universal quantum logic gates, which are $4$ by $4$ unitary solutions to the Yang-Baxter (Y-B) equation. We obtain this family from a certain representation of the cyclic group of order $n$. We then show that this {\\it discrete} family, parametrized by integers $n$, is in fact, a small sub-class of a larger {\\it continuous} family, parametrized by real numbers $\\theta$, of universal quantum gates. We discuss the corresponding Yang-Baxterization and related symmetries in the concomitant Hamiltonian."},"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":"1509.08252","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-28T09:36:31Z","cross_cats_sorted":[],"title_canon_sha256":"394d4fdd6211f67dc53aa718466cfed84e49733c5d8cd79fce2f3e93d27e10ce","abstract_canon_sha256":"a5296c316ba54f21f17e01619a028ea384699c8d9f0461ffbda2b404e0b377c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:20.915927Z","signature_b64":"i6gKdh87l6+JGj3nRyyfKs1Y1m2fECL5xpfySqznF4JOaKBz16k9pVK5QeDJT9FCPJ3KdgCaM/UK11vPTp4ZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08f05963362946e549014543f70db2b72911f35fa4de1feb94b4421c634e0578","last_reissued_at":"2026-05-18T01:08:20.915236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:20.915236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cyclic groups and quantum logic gates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arash Pourkia, C. H. Raymond Ooi, J. Batle","submitted_at":"2015-09-28T09:36:31Z","abstract_excerpt":"We present a formula for an infinite number of universal quantum logic gates, which are $4$ by $4$ unitary solutions to the Yang-Baxter (Y-B) equation. We obtain this family from a certain representation of the cyclic group of order $n$. We then show that this {\\it discrete} family, parametrized by integers $n$, is in fact, a small sub-class of a larger {\\it continuous} family, parametrized by real numbers $\\theta$, of universal quantum gates. We discuss the corresponding Yang-Baxterization and related symmetries in the concomitant Hamiltonian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08252","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":"1509.08252","created_at":"2026-05-18T01:08:20.915342+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.08252v1","created_at":"2026-05-18T01:08:20.915342+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08252","created_at":"2026-05-18T01:08:20.915342+00:00"},{"alias_kind":"pith_short_12","alias_value":"BDYFSYZWFFDO","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BDYFSYZWFFDOKSIB","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BDYFSYZW","created_at":"2026-05-18T12:29:14.074870+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/BDYFSYZWFFDOKSIBIVB7ODNSW4","json":"https://pith.science/pith/BDYFSYZWFFDOKSIBIVB7ODNSW4.json","graph_json":"https://pith.science/api/pith-number/BDYFSYZWFFDOKSIBIVB7ODNSW4/graph.json","events_json":"https://pith.science/api/pith-number/BDYFSYZWFFDOKSIBIVB7ODNSW4/events.json","paper":"https://pith.science/paper/BDYFSYZW"},"agent_actions":{"view_html":"https://pith.science/pith/BDYFSYZWFFDOKSIBIVB7ODNSW4","download_json":"https://pith.science/pith/BDYFSYZWFFDOKSIBIVB7ODNSW4.json","view_paper":"https://pith.science/paper/BDYFSYZW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.08252&json=true","fetch_graph":"https://pith.science/api/pith-number/BDYFSYZWFFDOKSIBIVB7ODNSW4/graph.json","fetch_events":"https://pith.science/api/pith-number/BDYFSYZWFFDOKSIBIVB7ODNSW4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BDYFSYZWFFDOKSIBIVB7ODNSW4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BDYFSYZWFFDOKSIBIVB7ODNSW4/action/storage_attestation","attest_author":"https://pith.science/pith/BDYFSYZWFFDOKSIBIVB7ODNSW4/action/author_attestation","sign_citation":"https://pith.science/pith/BDYFSYZWFFDOKSIBIVB7ODNSW4/action/citation_signature","submit_replication":"https://pith.science/pith/BDYFSYZWFFDOKSIBIVB7ODNSW4/action/replication_record"}},"created_at":"2026-05-18T01:08:20.915342+00:00","updated_at":"2026-05-18T01:08:20.915342+00:00"}