{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:6ECZR5ENY6NNNLDJ4RBT4MQJOR","short_pith_number":"pith:6ECZR5EN","schema_version":"1.0","canonical_sha256":"f10598f48dc79ad6ac69e4433e32097448da72b4203c917440941f9787856cd6","source":{"kind":"arxiv","id":"2603.21009","version":2},"attestation_state":"computed","paper":{"title":"Lie-algebraic incompleteness of symmetry-adapted VQE for non-Abelian molecular point groups","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"quant-ph","authors_text":"Leon D. da Silva, Marcelo P. Santos","submitted_at":"2026-03-22T02:07:45Z","abstract_excerpt":"Symmetry-adapted variational quantum eigensolvers (VQE) based on the Unitary Coupled-Cluster ansatz (SymUCCSD) effectively reduce the parameter count for Abelian molecular point groups. For non-Abelian groups, they systematically fail, without a theoretical explanation. In this work, we prove that the Abelian-subgroup restriction induces a spurious splitting of multidimensional irreducible representations, prematurely discarding cross-component excitations. At the Lie-algebraic level, this filter confines the Dynamical Lie Algebra (DLA) to the Abelian subalgebra $\\mathfrak{u}(1)^{d_\\lambda}$, "},"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":"2603.21009","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-03-22T02:07:45Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"345704860025e4dd2c4cf5e46eab0eeb588f86fc819e28e450a4a450dad428de","abstract_canon_sha256":"bad32a9c8f959dc8b1367ef20a61cfd06d744bc339e5068847852b38ed7c872e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:24.932584Z","signature_b64":"QklL/Edg15y16VU2lRN3zSLyT/J67rKTAJWFWjK8v2126smgMvKLBksQysJ2/RAGN2d4vozBlJNf2dgjddhkCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f10598f48dc79ad6ac69e4433e32097448da72b4203c917440941f9787856cd6","last_reissued_at":"2026-05-21T01:04:24.931068Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:24.931068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lie-algebraic incompleteness of symmetry-adapted VQE for non-Abelian molecular point groups","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"quant-ph","authors_text":"Leon D. da Silva, Marcelo P. Santos","submitted_at":"2026-03-22T02:07:45Z","abstract_excerpt":"Symmetry-adapted variational quantum eigensolvers (VQE) based on the Unitary Coupled-Cluster ansatz (SymUCCSD) effectively reduce the parameter count for Abelian molecular point groups. For non-Abelian groups, they systematically fail, without a theoretical explanation. In this work, we prove that the Abelian-subgroup restriction induces a spurious splitting of multidimensional irreducible representations, prematurely discarding cross-component excitations. At the Lie-algebraic level, this filter confines the Dynamical Lie Algebra (DLA) to the Abelian subalgebra $\\mathfrak{u}(1)^{d_\\lambda}$, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.21009","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/2603.21009/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":"2603.21009","created_at":"2026-05-21T01:04:24.931702+00:00"},{"alias_kind":"arxiv_version","alias_value":"2603.21009v2","created_at":"2026-05-21T01:04:24.931702+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.21009","created_at":"2026-05-21T01:04:24.931702+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ECZR5ENY6NN","created_at":"2026-05-21T01:04:24.931702+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ECZR5ENY6NNNLDJ","created_at":"2026-05-21T01:04:24.931702+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ECZR5EN","created_at":"2026-05-21T01:04:24.931702+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/6ECZR5ENY6NNNLDJ4RBT4MQJOR","json":"https://pith.science/pith/6ECZR5ENY6NNNLDJ4RBT4MQJOR.json","graph_json":"https://pith.science/api/pith-number/6ECZR5ENY6NNNLDJ4RBT4MQJOR/graph.json","events_json":"https://pith.science/api/pith-number/6ECZR5ENY6NNNLDJ4RBT4MQJOR/events.json","paper":"https://pith.science/paper/6ECZR5EN"},"agent_actions":{"view_html":"https://pith.science/pith/6ECZR5ENY6NNNLDJ4RBT4MQJOR","download_json":"https://pith.science/pith/6ECZR5ENY6NNNLDJ4RBT4MQJOR.json","view_paper":"https://pith.science/paper/6ECZR5EN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2603.21009&json=true","fetch_graph":"https://pith.science/api/pith-number/6ECZR5ENY6NNNLDJ4RBT4MQJOR/graph.json","fetch_events":"https://pith.science/api/pith-number/6ECZR5ENY6NNNLDJ4RBT4MQJOR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ECZR5ENY6NNNLDJ4RBT4MQJOR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ECZR5ENY6NNNLDJ4RBT4MQJOR/action/storage_attestation","attest_author":"https://pith.science/pith/6ECZR5ENY6NNNLDJ4RBT4MQJOR/action/author_attestation","sign_citation":"https://pith.science/pith/6ECZR5ENY6NNNLDJ4RBT4MQJOR/action/citation_signature","submit_replication":"https://pith.science/pith/6ECZR5ENY6NNNLDJ4RBT4MQJOR/action/replication_record"}},"created_at":"2026-05-21T01:04:24.931702+00:00","updated_at":"2026-05-21T01:04:24.931702+00:00"}