{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:KQCRDB6NELDCDW7ZLDCZKKKSYX","short_pith_number":"pith:KQCRDB6N","schema_version":"1.0","canonical_sha256":"54051187cd22c621dbf958c5952952c5e5266078a93a7a72944737bed7e6a580","source":{"kind":"arxiv","id":"2508.01470","version":1},"attestation_state":"computed","paper":{"title":"Quasi-Clifford to qubit mappings","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Felix Huber","submitted_at":"2025-08-02T19:40:44Z","abstract_excerpt":"Algebras with given (anti-)commutativity structure are widespread in quantum mechanics. This structure is captured by quasi-Clifford algebras (QCA): a QCA generated by $\\alpha_1, \\dots, \\alpha_n$ is is given by the relations $\\alpha_i^2 = k_i$ and $\\alpha_j \\alpha_i = (-1)^{\\chi_{ij}} \\alpha_i \\alpha_j$, where $k_i \\in \\mathbb{C}$ and $\\chi_{ij} \\in \\{0, 1\\}$. We present a mapping from QCA to Pauli algebras and discuss its use in quantum information and computation. The mapping also provides a Wedderburn decomposition of matrix groups with quasi-Clifford structure. This provides a block-diagon"},"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":"2508.01470","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-08-02T19:40:44Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"97c5fc736c1c990926b81b9fcbe2b5efde6d66f682e3e26f3aca5bb5bfa3adf1","abstract_canon_sha256":"721ee7f11e807e09c329c3df05a3533be60cfb18fb7cc304490eaaf9d62a8266"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:47:39.639172Z","signature_b64":"+kSI/g7BYidRlU3fFQVVk1dC6RxSFiylX9IddIUH8xoakxphjhKibTSOlF/SgzwPRL1kzZpQkuWErnOiV1Z/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54051187cd22c621dbf958c5952952c5e5266078a93a7a72944737bed7e6a580","last_reissued_at":"2026-07-05T11:47:39.638715Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:47:39.638715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-Clifford to qubit mappings","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Felix Huber","submitted_at":"2025-08-02T19:40:44Z","abstract_excerpt":"Algebras with given (anti-)commutativity structure are widespread in quantum mechanics. This structure is captured by quasi-Clifford algebras (QCA): a QCA generated by $\\alpha_1, \\dots, \\alpha_n$ is is given by the relations $\\alpha_i^2 = k_i$ and $\\alpha_j \\alpha_i = (-1)^{\\chi_{ij}} \\alpha_i \\alpha_j$, where $k_i \\in \\mathbb{C}$ and $\\chi_{ij} \\in \\{0, 1\\}$. We present a mapping from QCA to Pauli algebras and discuss its use in quantum information and computation. The mapping also provides a Wedderburn decomposition of matrix groups with quasi-Clifford structure. This provides a block-diagon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.01470","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.01470/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2508.01470","created_at":"2026-07-05T11:47:39.638772+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.01470v1","created_at":"2026-07-05T11:47:39.638772+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.01470","created_at":"2026-07-05T11:47:39.638772+00:00"},{"alias_kind":"pith_short_12","alias_value":"KQCRDB6NELDC","created_at":"2026-07-05T11:47:39.638772+00:00"},{"alias_kind":"pith_short_16","alias_value":"KQCRDB6NELDCDW7Z","created_at":"2026-07-05T11:47:39.638772+00:00"},{"alias_kind":"pith_short_8","alias_value":"KQCRDB6N","created_at":"2026-07-05T11:47:39.638772+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/KQCRDB6NELDCDW7ZLDCZKKKSYX","json":"https://pith.science/pith/KQCRDB6NELDCDW7ZLDCZKKKSYX.json","graph_json":"https://pith.science/api/pith-number/KQCRDB6NELDCDW7ZLDCZKKKSYX/graph.json","events_json":"https://pith.science/api/pith-number/KQCRDB6NELDCDW7ZLDCZKKKSYX/events.json","paper":"https://pith.science/paper/KQCRDB6N"},"agent_actions":{"view_html":"https://pith.science/pith/KQCRDB6NELDCDW7ZLDCZKKKSYX","download_json":"https://pith.science/pith/KQCRDB6NELDCDW7ZLDCZKKKSYX.json","view_paper":"https://pith.science/paper/KQCRDB6N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.01470&json=true","fetch_graph":"https://pith.science/api/pith-number/KQCRDB6NELDCDW7ZLDCZKKKSYX/graph.json","fetch_events":"https://pith.science/api/pith-number/KQCRDB6NELDCDW7ZLDCZKKKSYX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KQCRDB6NELDCDW7ZLDCZKKKSYX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KQCRDB6NELDCDW7ZLDCZKKKSYX/action/storage_attestation","attest_author":"https://pith.science/pith/KQCRDB6NELDCDW7ZLDCZKKKSYX/action/author_attestation","sign_citation":"https://pith.science/pith/KQCRDB6NELDCDW7ZLDCZKKKSYX/action/citation_signature","submit_replication":"https://pith.science/pith/KQCRDB6NELDCDW7ZLDCZKKKSYX/action/replication_record"}},"created_at":"2026-07-05T11:47:39.638772+00:00","updated_at":"2026-07-05T11:47:39.638772+00:00"}