{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XOVQE3M3OIJUOGR5NN37D52EMF","short_pith_number":"pith:XOVQE3M3","schema_version":"1.0","canonical_sha256":"bbab026d9b7213471a3d6b77f1f74461752dd2a5ad67e04c6be919b3e4e5b8a0","source":{"kind":"arxiv","id":"1706.02212","version":2},"attestation_state":"computed","paper":{"title":"Maximum and minimum entropy states yielding local continuity bounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Eric P. Hanson, Nilanjana Datta","submitted_at":"2017-06-07T14:32:36Z","abstract_excerpt":"Given an arbitrary quantum state ($\\sigma$), we obtain an explicit construction of a state $\\rho^*_\\varepsilon(\\sigma)$ (resp. $\\rho_{*,\\varepsilon}(\\sigma)$) which has the maximum (resp. minimum) entropy among all states which lie in a specified neighbourhood ($\\varepsilon$-ball) of $\\sigma$. Computing the entropy of these states leads to a local strengthening of the continuity bound of the von Neumann entropy, i.e., the Audenaert-Fannes inequality. Our bound is local in the sense that it depends on the spectrum of $\\sigma$. The states $\\rho^*_\\varepsilon(\\sigma)$ and $\\rho_{*,\\varepsilon}(\\s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.02212","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-07T14:32:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7851c594ab760206a05ca7ffcda30ee4abd43a54c7ff8ae0f266061d66db2abf","abstract_canon_sha256":"659347b2302845a0fff5b60545d422b42802f3a0c8647ee6d10b56c5c75a6232"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:47.463801Z","signature_b64":"gC68iKoPNtNLfvxOmnzaKT7WxTJOd0Xjht8VLkMkT/MsDuLdySszbiNJbdKj05is2fStxuDOuvFbokDsriaECA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbab026d9b7213471a3d6b77f1f74461752dd2a5ad67e04c6be919b3e4e5b8a0","last_reissued_at":"2026-05-18T00:01:47.463142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:47.463142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximum and minimum entropy states yielding local continuity bounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Eric P. Hanson, Nilanjana Datta","submitted_at":"2017-06-07T14:32:36Z","abstract_excerpt":"Given an arbitrary quantum state ($\\sigma$), we obtain an explicit construction of a state $\\rho^*_\\varepsilon(\\sigma)$ (resp. $\\rho_{*,\\varepsilon}(\\sigma)$) which has the maximum (resp. minimum) entropy among all states which lie in a specified neighbourhood ($\\varepsilon$-ball) of $\\sigma$. Computing the entropy of these states leads to a local strengthening of the continuity bound of the von Neumann entropy, i.e., the Audenaert-Fannes inequality. Our bound is local in the sense that it depends on the spectrum of $\\sigma$. The states $\\rho^*_\\varepsilon(\\sigma)$ and $\\rho_{*,\\varepsilon}(\\s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02212","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":""},"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":"1706.02212","created_at":"2026-05-18T00:01:47.463234+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.02212v2","created_at":"2026-05-18T00:01:47.463234+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.02212","created_at":"2026-05-18T00:01:47.463234+00:00"},{"alias_kind":"pith_short_12","alias_value":"XOVQE3M3OIJU","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"XOVQE3M3OIJUOGR5","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"XOVQE3M3","created_at":"2026-05-18T12:31:56.362134+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/XOVQE3M3OIJUOGR5NN37D52EMF","json":"https://pith.science/pith/XOVQE3M3OIJUOGR5NN37D52EMF.json","graph_json":"https://pith.science/api/pith-number/XOVQE3M3OIJUOGR5NN37D52EMF/graph.json","events_json":"https://pith.science/api/pith-number/XOVQE3M3OIJUOGR5NN37D52EMF/events.json","paper":"https://pith.science/paper/XOVQE3M3"},"agent_actions":{"view_html":"https://pith.science/pith/XOVQE3M3OIJUOGR5NN37D52EMF","download_json":"https://pith.science/pith/XOVQE3M3OIJUOGR5NN37D52EMF.json","view_paper":"https://pith.science/paper/XOVQE3M3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.02212&json=true","fetch_graph":"https://pith.science/api/pith-number/XOVQE3M3OIJUOGR5NN37D52EMF/graph.json","fetch_events":"https://pith.science/api/pith-number/XOVQE3M3OIJUOGR5NN37D52EMF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XOVQE3M3OIJUOGR5NN37D52EMF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XOVQE3M3OIJUOGR5NN37D52EMF/action/storage_attestation","attest_author":"https://pith.science/pith/XOVQE3M3OIJUOGR5NN37D52EMF/action/author_attestation","sign_citation":"https://pith.science/pith/XOVQE3M3OIJUOGR5NN37D52EMF/action/citation_signature","submit_replication":"https://pith.science/pith/XOVQE3M3OIJUOGR5NN37D52EMF/action/replication_record"}},"created_at":"2026-05-18T00:01:47.463234+00:00","updated_at":"2026-05-18T00:01:47.463234+00:00"}