{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:IYIL6OIPWSSXMQQF424H3YEU4Y","short_pith_number":"pith:IYIL6OIP","schema_version":"1.0","canonical_sha256":"4610bf390fb4a5764205e6b87de094e63e9ae9d4c96c06fbf24285c0564e0f85","source":{"kind":"arxiv","id":"2505.07804","version":2},"attestation_state":"computed","paper":{"title":"Quon Classical Simulation: Unifying Cliffords, Matchgates and Entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Fan Lu, Ningfeng Wang, Zhengwei Liu, Zixuan Feng","submitted_at":"2025-05-12T17:53:05Z","abstract_excerpt":"We propose a new framework of topological complexity to study the computational complexity of quantum circuits and tensor networks. Within this framework, we establish the Quon Classical Simulation (QCS) for hybrid Clifford-Matchgate circuits, which is efficient for both Clifford circuits and Matchgate circuits, therefore answering a long standing open question on unifying efficient classical simulations. This framework is built upon the Quon language, a 2+1D topological quantum field theory with space-time boundary and defects. Its exponential computation complexity is captured by Magic holes"},"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":"2505.07804","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-12T17:53:05Z","cross_cats_sorted":["cs.CC","math-ph","math.MP"],"title_canon_sha256":"9e829cafa588056437b7ca6677591bef76901d4a02031809952c8044106e678d","abstract_canon_sha256":"c7a63032b6acc04bc9cd7153bcad4cd840d82de1b03736a76cc411e2c5e17b11"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:50:36.581824Z","signature_b64":"6YeTsr+6ascJQattrFIe8YC0hIQ98ADkStOacBk7S4nFNpbFeSdwBX0uVfyJnDB2Fc3zW5WakXJyGbKKZyeMCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4610bf390fb4a5764205e6b87de094e63e9ae9d4c96c06fbf24285c0564e0f85","last_reissued_at":"2026-07-05T11:50:36.581339Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:50:36.581339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quon Classical Simulation: Unifying Cliffords, Matchgates and Entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Fan Lu, Ningfeng Wang, Zhengwei Liu, Zixuan Feng","submitted_at":"2025-05-12T17:53:05Z","abstract_excerpt":"We propose a new framework of topological complexity to study the computational complexity of quantum circuits and tensor networks. Within this framework, we establish the Quon Classical Simulation (QCS) for hybrid Clifford-Matchgate circuits, which is efficient for both Clifford circuits and Matchgate circuits, therefore answering a long standing open question on unifying efficient classical simulations. This framework is built upon the Quon language, a 2+1D topological quantum field theory with space-time boundary and defects. Its exponential computation complexity is captured by Magic holes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.07804","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.07804/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":"2505.07804","created_at":"2026-07-05T11:50:36.581397+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.07804v2","created_at":"2026-07-05T11:50:36.581397+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.07804","created_at":"2026-07-05T11:50:36.581397+00:00"},{"alias_kind":"pith_short_12","alias_value":"IYIL6OIPWSSX","created_at":"2026-07-05T11:50:36.581397+00:00"},{"alias_kind":"pith_short_16","alias_value":"IYIL6OIPWSSXMQQF","created_at":"2026-07-05T11:50:36.581397+00:00"},{"alias_kind":"pith_short_8","alias_value":"IYIL6OIP","created_at":"2026-07-05T11:50:36.581397+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.03976","citing_title":"Graphical Calculus for Fermionic Tensors","ref_index":45,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IYIL6OIPWSSXMQQF424H3YEU4Y","json":"https://pith.science/pith/IYIL6OIPWSSXMQQF424H3YEU4Y.json","graph_json":"https://pith.science/api/pith-number/IYIL6OIPWSSXMQQF424H3YEU4Y/graph.json","events_json":"https://pith.science/api/pith-number/IYIL6OIPWSSXMQQF424H3YEU4Y/events.json","paper":"https://pith.science/paper/IYIL6OIP"},"agent_actions":{"view_html":"https://pith.science/pith/IYIL6OIPWSSXMQQF424H3YEU4Y","download_json":"https://pith.science/pith/IYIL6OIPWSSXMQQF424H3YEU4Y.json","view_paper":"https://pith.science/paper/IYIL6OIP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.07804&json=true","fetch_graph":"https://pith.science/api/pith-number/IYIL6OIPWSSXMQQF424H3YEU4Y/graph.json","fetch_events":"https://pith.science/api/pith-number/IYIL6OIPWSSXMQQF424H3YEU4Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IYIL6OIPWSSXMQQF424H3YEU4Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IYIL6OIPWSSXMQQF424H3YEU4Y/action/storage_attestation","attest_author":"https://pith.science/pith/IYIL6OIPWSSXMQQF424H3YEU4Y/action/author_attestation","sign_citation":"https://pith.science/pith/IYIL6OIPWSSXMQQF424H3YEU4Y/action/citation_signature","submit_replication":"https://pith.science/pith/IYIL6OIPWSSXMQQF424H3YEU4Y/action/replication_record"}},"created_at":"2026-07-05T11:50:36.581397+00:00","updated_at":"2026-07-05T11:50:36.581397+00:00"}