{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ASSR3RGEW5VABIO3MI43PSRUSR","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":"aa2777bb41d273741341fa738c5525cb3c2bc41be594cc8a796c0765af0724e0","cross_cats_sorted":["cs.AI","cs.LG","math-ph","math.MP","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-12-14T18:03:43Z","title_canon_sha256":"740d5912a7c83039d587bcbbb12c1bd921585dad272705564555f98054eed7a3"},"schema_version":"1.0","source":{"id":"2112.07611","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.07611","created_at":"2026-07-05T06:50:36Z"},{"alias_kind":"arxiv_version","alias_value":"2112.07611v3","created_at":"2026-07-05T06:50:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.07611","created_at":"2026-07-05T06:50:36Z"},{"alias_kind":"pith_short_12","alias_value":"ASSR3RGEW5VA","created_at":"2026-07-05T06:50:36Z"},{"alias_kind":"pith_short_16","alias_value":"ASSR3RGEW5VABIO3","created_at":"2026-07-05T06:50:36Z"},{"alias_kind":"pith_short_8","alias_value":"ASSR3RGE","created_at":"2026-07-05T06:50:36Z"}],"graph_snapshots":[{"event_id":"sha256:a4102cb7b24682e77e5fa0034a3e196e877773577e34df4f14cb0264fbe23a75","target":"graph","created_at":"2026-07-05T06:50:36Z","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/2112.07611/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a theoretical framework for $S_n$-equivariant convolutional quantum circuits with SU$(d)$-symmetry, building on and significantly generalizing Jordan's Permutational Quantum Computing (PQC) formalism based on Schur-Weyl duality connecting both SU$(d)$ and $S_n$ actions on qudits. In particular, we utilize the Okounkov-Vershik approach to prove Harrow's statement (Ph.D. Thesis 2005 p.160) on the equivalence between $\\operatorname{SU}(d)$ and $S_n$ irrep bases and to establish the $S_n$-equivariant Convolutional Quantum Alternating Ans\\\"atze ($S_n$-CQA) using Young-Jucys-Murphy (YJM) ","authors_text":"Han Zheng, Junyu Liu, Risi Kondor, Sergii Strelchuk, Zimu Li","cross_cats":["cs.AI","cs.LG","math-ph","math.MP","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-12-14T18:03:43Z","title":"Speeding up Learning Quantum States through Group Equivariant Convolutional Quantum Ans\\\"atze"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.07611","kind":"arxiv","version":3},"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":"sha256:514b9ae33fbfff7f6bbc85edb282d29f6a0bb7e3b2b0a8a5e5ac1536fa0c96d3","target":"record","created_at":"2026-07-05T06:50:36Z","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":"aa2777bb41d273741341fa738c5525cb3c2bc41be594cc8a796c0765af0724e0","cross_cats_sorted":["cs.AI","cs.LG","math-ph","math.MP","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-12-14T18:03:43Z","title_canon_sha256":"740d5912a7c83039d587bcbbb12c1bd921585dad272705564555f98054eed7a3"},"schema_version":"1.0","source":{"id":"2112.07611","kind":"arxiv","version":3}},"canonical_sha256":"04a51dc4c4b76a00a1db6239b7ca3494556235166c356a20fa739f9abd6b2c97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04a51dc4c4b76a00a1db6239b7ca3494556235166c356a20fa739f9abd6b2c97","first_computed_at":"2026-07-05T06:50:36.510260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:50:36.510260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"196c18xgWRp/H2ZzsHmK3n7C8PqcdxXT2Bnb1HumIYYawrq10f4HMzG7YvG9u/9IVBdhLjIg4KpqMheKaZGZBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:50:36.510734Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.07611","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:514b9ae33fbfff7f6bbc85edb282d29f6a0bb7e3b2b0a8a5e5ac1536fa0c96d3","sha256:a4102cb7b24682e77e5fa0034a3e196e877773577e34df4f14cb0264fbe23a75"],"state_sha256":"c681a506d7c47233697779412504da4be70aa9d13da0ef9f41bbefe4d05a6a21"}