{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:ETIB4KRXGUVQFPNZ2YBEZWZNRC","short_pith_number":"pith:ETIB4KRX","schema_version":"1.0","canonical_sha256":"24d01e2a37352b02bdb9d6024cdb2d88826890d88d6a5bc4f1e4e01f48dab71e","source":{"kind":"arxiv","id":"2305.06855","version":2},"attestation_state":"computed","paper":{"title":"Entropy Constraints for Ground Energy Optimization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Hamza Fawzi, Omar Fawzi, Samuel O. Scalet","submitted_at":"2023-05-11T14:51:21Z","abstract_excerpt":"We study the use of von Neumann entropy constraints for obtaining lower bounds on the ground energy of quantum many-body systems. Known methods for obtaining certificates on the ground energy typically use consistency of local observables and are expressed as semidefinite programming relaxations. The local marginals defined by such a relaxation do not necessarily satisfy entropy inequalities that follow from the existence of a global state. Here, we propose to add such entropy constraints that lead to tighter convex relaxations for the ground energy problem. We give analytical and numerical re"},"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":"2305.06855","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-05-11T14:51:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c822f497afc568697415cf8e21541c1ea90c8ea40c0244bcb8ec36efff6638aa","abstract_canon_sha256":"bfb3cdc1014c0ca758ec2e3f084825604fb81f612f95ba56aa412fb8c67dee77"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:33:30.259578Z","signature_b64":"uDWuvwRR6AZtpLbueqj1WtJSM0yDXdgoGDl4su37h1fqewDEgGYPWQe/nEY6NDGwktDabzZkBEnlER9oIUf3CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24d01e2a37352b02bdb9d6024cdb2d88826890d88d6a5bc4f1e4e01f48dab71e","last_reissued_at":"2026-07-05T08:33:30.258997Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:33:30.258997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropy Constraints for Ground Energy Optimization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Hamza Fawzi, Omar Fawzi, Samuel O. Scalet","submitted_at":"2023-05-11T14:51:21Z","abstract_excerpt":"We study the use of von Neumann entropy constraints for obtaining lower bounds on the ground energy of quantum many-body systems. Known methods for obtaining certificates on the ground energy typically use consistency of local observables and are expressed as semidefinite programming relaxations. The local marginals defined by such a relaxation do not necessarily satisfy entropy inequalities that follow from the existence of a global state. Here, we propose to add such entropy constraints that lead to tighter convex relaxations for the ground energy problem. We give analytical and numerical re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.06855","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/2305.06855/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":"2305.06855","created_at":"2026-07-05T08:33:30.259064+00:00"},{"alias_kind":"arxiv_version","alias_value":"2305.06855v2","created_at":"2026-07-05T08:33:30.259064+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.06855","created_at":"2026-07-05T08:33:30.259064+00:00"},{"alias_kind":"pith_short_12","alias_value":"ETIB4KRXGUVQ","created_at":"2026-07-05T08:33:30.259064+00:00"},{"alias_kind":"pith_short_16","alias_value":"ETIB4KRXGUVQFPNZ","created_at":"2026-07-05T08:33:30.259064+00:00"},{"alias_kind":"pith_short_8","alias_value":"ETIB4KRX","created_at":"2026-07-05T08:33:30.259064+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.18546","citing_title":"Mitigating shot noise in local overlapping quantum tomography with semidefinite programming","ref_index":45,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ETIB4KRXGUVQFPNZ2YBEZWZNRC","json":"https://pith.science/pith/ETIB4KRXGUVQFPNZ2YBEZWZNRC.json","graph_json":"https://pith.science/api/pith-number/ETIB4KRXGUVQFPNZ2YBEZWZNRC/graph.json","events_json":"https://pith.science/api/pith-number/ETIB4KRXGUVQFPNZ2YBEZWZNRC/events.json","paper":"https://pith.science/paper/ETIB4KRX"},"agent_actions":{"view_html":"https://pith.science/pith/ETIB4KRXGUVQFPNZ2YBEZWZNRC","download_json":"https://pith.science/pith/ETIB4KRXGUVQFPNZ2YBEZWZNRC.json","view_paper":"https://pith.science/paper/ETIB4KRX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2305.06855&json=true","fetch_graph":"https://pith.science/api/pith-number/ETIB4KRXGUVQFPNZ2YBEZWZNRC/graph.json","fetch_events":"https://pith.science/api/pith-number/ETIB4KRXGUVQFPNZ2YBEZWZNRC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ETIB4KRXGUVQFPNZ2YBEZWZNRC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ETIB4KRXGUVQFPNZ2YBEZWZNRC/action/storage_attestation","attest_author":"https://pith.science/pith/ETIB4KRXGUVQFPNZ2YBEZWZNRC/action/author_attestation","sign_citation":"https://pith.science/pith/ETIB4KRXGUVQFPNZ2YBEZWZNRC/action/citation_signature","submit_replication":"https://pith.science/pith/ETIB4KRXGUVQFPNZ2YBEZWZNRC/action/replication_record"}},"created_at":"2026-07-05T08:33:30.259064+00:00","updated_at":"2026-07-05T08:33:30.259064+00:00"}