{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MMX26XOVCYBO3GIEOVRL3NRGR5","short_pith_number":"pith:MMX26XOV","schema_version":"1.0","canonical_sha256":"632faf5dd51602ed99047562bdb6268f4d777739ce7ba251488ef108b2ed2804","source":{"kind":"arxiv","id":"1412.1158","version":2},"attestation_state":"computed","paper":{"title":"Qubits, Weyl spinors, quantum NOT gates, and dynamical decoupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"R. Romero","submitted_at":"2014-12-03T01:59:04Z","abstract_excerpt":"An equivalence is established between orthogonal pure state qubits on the Bloch sphere and massless Weyl spinors, when the Bloch vector is taken as the physical three-momentum. A family of unitary, coordinate dependent transformations is obtained which connects orthogonal combinations of the basis states of a two-level quantum system. It is shown that a subset of these transformations possesses the novel feature of effecting a point inversion by means of a rotation. For qubits, these transformations act as quantum NOT/parity gates, and also as flipping operators that exactly cancel decoherence"},"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":"1412.1158","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-03T01:59:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"97506b9f55557e84976a9a76b3fb46c7fdb7677a28677bbab080fc2e981d3849","abstract_canon_sha256":"0d6250ca4a63d3aeac53c8eabb0b754c4a5fe34491e607e92b7e11092746c9a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:31.219069Z","signature_b64":"pSRJ5CCwHEOr1n2ZWOrG5Gs9H+oEEkJ1A3AQHsfu0+R4Qa1UPOcI5aZpNoea+To35CAQL5p5IP5XFlTIR1laCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"632faf5dd51602ed99047562bdb6268f4d777739ce7ba251488ef108b2ed2804","last_reissued_at":"2026-05-18T02:28:31.218454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:31.218454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Qubits, Weyl spinors, quantum NOT gates, and dynamical decoupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"R. Romero","submitted_at":"2014-12-03T01:59:04Z","abstract_excerpt":"An equivalence is established between orthogonal pure state qubits on the Bloch sphere and massless Weyl spinors, when the Bloch vector is taken as the physical three-momentum. A family of unitary, coordinate dependent transformations is obtained which connects orthogonal combinations of the basis states of a two-level quantum system. It is shown that a subset of these transformations possesses the novel feature of effecting a point inversion by means of a rotation. For qubits, these transformations act as quantum NOT/parity gates, and also as flipping operators that exactly cancel decoherence"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1158","kind":"arxiv","version":2},"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":"1412.1158","created_at":"2026-05-18T02:28:31.218546+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.1158v2","created_at":"2026-05-18T02:28:31.218546+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1158","created_at":"2026-05-18T02:28:31.218546+00:00"},{"alias_kind":"pith_short_12","alias_value":"MMX26XOVCYBO","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MMX26XOVCYBO3GIE","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MMX26XOV","created_at":"2026-05-18T12:28:38.356838+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/MMX26XOVCYBO3GIEOVRL3NRGR5","json":"https://pith.science/pith/MMX26XOVCYBO3GIEOVRL3NRGR5.json","graph_json":"https://pith.science/api/pith-number/MMX26XOVCYBO3GIEOVRL3NRGR5/graph.json","events_json":"https://pith.science/api/pith-number/MMX26XOVCYBO3GIEOVRL3NRGR5/events.json","paper":"https://pith.science/paper/MMX26XOV"},"agent_actions":{"view_html":"https://pith.science/pith/MMX26XOVCYBO3GIEOVRL3NRGR5","download_json":"https://pith.science/pith/MMX26XOVCYBO3GIEOVRL3NRGR5.json","view_paper":"https://pith.science/paper/MMX26XOV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.1158&json=true","fetch_graph":"https://pith.science/api/pith-number/MMX26XOVCYBO3GIEOVRL3NRGR5/graph.json","fetch_events":"https://pith.science/api/pith-number/MMX26XOVCYBO3GIEOVRL3NRGR5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MMX26XOVCYBO3GIEOVRL3NRGR5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MMX26XOVCYBO3GIEOVRL3NRGR5/action/storage_attestation","attest_author":"https://pith.science/pith/MMX26XOVCYBO3GIEOVRL3NRGR5/action/author_attestation","sign_citation":"https://pith.science/pith/MMX26XOVCYBO3GIEOVRL3NRGR5/action/citation_signature","submit_replication":"https://pith.science/pith/MMX26XOVCYBO3GIEOVRL3NRGR5/action/replication_record"}},"created_at":"2026-05-18T02:28:31.218546+00:00","updated_at":"2026-05-18T02:28:31.218546+00:00"}