{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:BV4QH64VAFDAWQUUAMHSN2QU2H","short_pith_number":"pith:BV4QH64V","schema_version":"1.0","canonical_sha256":"0d7903fb9501460b4294030f26ea14d1e8de0804e75d232877a262d68bcc0bb6","source":{"kind":"arxiv","id":"1501.01013","version":1},"attestation_state":"computed","paper":{"title":"Making a circulant 2-qubit entangling gate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.GR","math.IT","math.QA","math.RT"],"primary_cat":"quant-ph","authors_text":"Claire I. Levaillant","submitted_at":"2014-12-31T02:11:08Z","abstract_excerpt":"We present a way to physically realize a circulant 2-qubit entangling gate in the Kauffman-Jones version of SU(2) Chern-Simons theory at level 4. Our approach uses qubit and qutrit ancillas, braids, fusions and interferometric measurements. Our qubit is formed by four anyons of topological charges 1221. Among other 2-qubit entangling gates we generate in the present paper, we produce in particular the circulant gate CEG = 1/4 I + I sqrt(3)/4 J - 3/4 J^2 + I sqrt(3)/4 J^3, where J denotes the permutation matrix associated with the cycle (1432) and I denotes the identity matrix."},"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":"1501.01013","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-31T02:11:08Z","cross_cats_sorted":["cs.IT","math.GR","math.IT","math.QA","math.RT"],"title_canon_sha256":"50c649f5118a23c6e493fb58251474ade35a1adc911c2af9bfe29837d0bee24f","abstract_canon_sha256":"7cfb9405f121d70392990dbc65285ccf5b6471508d15fb3b680db0ac1309b1b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:00.425855Z","signature_b64":"+BZxSn9YHd1XCcDV1eohhiRgCm0fe+4zZNCbXjYNvYCM7XhlpcZXZT+3AZqu6LiKCldiw4hZLtkwI+pg3nz4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d7903fb9501460b4294030f26ea14d1e8de0804e75d232877a262d68bcc0bb6","last_reissued_at":"2026-05-18T02:30:00.425488Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:00.425488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Making a circulant 2-qubit entangling gate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.GR","math.IT","math.QA","math.RT"],"primary_cat":"quant-ph","authors_text":"Claire I. Levaillant","submitted_at":"2014-12-31T02:11:08Z","abstract_excerpt":"We present a way to physically realize a circulant 2-qubit entangling gate in the Kauffman-Jones version of SU(2) Chern-Simons theory at level 4. Our approach uses qubit and qutrit ancillas, braids, fusions and interferometric measurements. Our qubit is formed by four anyons of topological charges 1221. Among other 2-qubit entangling gates we generate in the present paper, we produce in particular the circulant gate CEG = 1/4 I + I sqrt(3)/4 J - 3/4 J^2 + I sqrt(3)/4 J^3, where J denotes the permutation matrix associated with the cycle (1432) and I denotes the identity matrix."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01013","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":"1501.01013","created_at":"2026-05-18T02:30:00.425544+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.01013v1","created_at":"2026-05-18T02:30:00.425544+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01013","created_at":"2026-05-18T02:30:00.425544+00:00"},{"alias_kind":"pith_short_12","alias_value":"BV4QH64VAFDA","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"BV4QH64VAFDAWQUU","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"BV4QH64V","created_at":"2026-05-18T12:28:22.404517+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/BV4QH64VAFDAWQUUAMHSN2QU2H","json":"https://pith.science/pith/BV4QH64VAFDAWQUUAMHSN2QU2H.json","graph_json":"https://pith.science/api/pith-number/BV4QH64VAFDAWQUUAMHSN2QU2H/graph.json","events_json":"https://pith.science/api/pith-number/BV4QH64VAFDAWQUUAMHSN2QU2H/events.json","paper":"https://pith.science/paper/BV4QH64V"},"agent_actions":{"view_html":"https://pith.science/pith/BV4QH64VAFDAWQUUAMHSN2QU2H","download_json":"https://pith.science/pith/BV4QH64VAFDAWQUUAMHSN2QU2H.json","view_paper":"https://pith.science/paper/BV4QH64V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.01013&json=true","fetch_graph":"https://pith.science/api/pith-number/BV4QH64VAFDAWQUUAMHSN2QU2H/graph.json","fetch_events":"https://pith.science/api/pith-number/BV4QH64VAFDAWQUUAMHSN2QU2H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BV4QH64VAFDAWQUUAMHSN2QU2H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BV4QH64VAFDAWQUUAMHSN2QU2H/action/storage_attestation","attest_author":"https://pith.science/pith/BV4QH64VAFDAWQUUAMHSN2QU2H/action/author_attestation","sign_citation":"https://pith.science/pith/BV4QH64VAFDAWQUUAMHSN2QU2H/action/citation_signature","submit_replication":"https://pith.science/pith/BV4QH64VAFDAWQUUAMHSN2QU2H/action/replication_record"}},"created_at":"2026-05-18T02:30:00.425544+00:00","updated_at":"2026-05-18T02:30:00.425544+00:00"}