{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:TWOAL43425Z6C7ETLX4M64ZLRA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"95c3e3ea7cb52419f16cd9ea50c608224a1a14d1e86bc1d464de2cf410df71ea","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-07-23T10:20:33Z","title_canon_sha256":"fe4c55aa39eb6cef3d47741c9f3b3f61da0b4da0babdc4f94376fc21d49cb7b2"},"schema_version":"1.0","source":{"id":"2007.11905","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.11905","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"arxiv_version","alias_value":"2007.11905v2","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.11905","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"pith_short_12","alias_value":"TWOAL43425Z6","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"pith_short_16","alias_value":"TWOAL43425Z6C7ET","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"pith_short_8","alias_value":"TWOAL434","created_at":"2026-07-05T02:06:51Z"}],"graph_snapshots":[{"event_id":"sha256:021b59535d306512d5435438331005ef1545c997675bed27ad174953a965e070","target":"graph","created_at":"2026-07-05T02:06:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2007.11905/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study matrix product unitary operators (MPUs) for fermionic one-dimensional (1D) chains. In stark contrast with the case of 1D qudit systems, we show that (i) fermionic MPUs do not necessarily feature a strict causal cone and (ii) not all fermionic Quantum Cellular Automata (QCA) can be represented as fermionic MPUs. We then introduce a natural generalization of the latter, obtained by allowing for an additional operator acting on their auxiliary space. We characterize a family of such generalized MPUs that are locality-preserving, and show that, up to appending inert ancillary fermionic de","authors_text":"Alex Turzillo, J. Ignacio Cirac, Lorenzo Piroli, Sujeet K. Shukla","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-07-23T10:20:33Z","title":"Fermionic quantum cellular automata and generalized matrix product unitaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.11905","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d3467faaebdade5a4c3ef16edf03bcd193598dd0a6f582d54f50fb0a541ba7f0","target":"record","created_at":"2026-07-05T02:06:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"95c3e3ea7cb52419f16cd9ea50c608224a1a14d1e86bc1d464de2cf410df71ea","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-07-23T10:20:33Z","title_canon_sha256":"fe4c55aa39eb6cef3d47741c9f3b3f61da0b4da0babdc4f94376fc21d49cb7b2"},"schema_version":"1.0","source":{"id":"2007.11905","kind":"arxiv","version":2}},"canonical_sha256":"9d9c05f37cd773e17c935df8cf732b882508123f4d02d7bf9608f2b3ce3bb89e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d9c05f37cd773e17c935df8cf732b882508123f4d02d7bf9608f2b3ce3bb89e","first_computed_at":"2026-07-05T02:06:51.177793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:06:51.177793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CxGuWOo5QO2kfPv5iUKjHGHhsdrSCUWtly7gRWFt9vXQQvkZeTlkA/IMYDFc83aRPBpcz2F28HEuF5VLpr3qBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:06:51.178200Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.11905","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3467faaebdade5a4c3ef16edf03bcd193598dd0a6f582d54f50fb0a541ba7f0","sha256:021b59535d306512d5435438331005ef1545c997675bed27ad174953a965e070"],"state_sha256":"3705f0aecf171a7fd77a0f5496939ac3f6451136fa4865fbdae7fcfc0b70a9e2"}