{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:DYYWPH6XEKA6XXJSKZ2NVHVOVI","short_pith_number":"pith:DYYWPH6X","schema_version":"1.0","canonical_sha256":"1e31679fd72281ebdd325674da9eaeaa12d34d81a444e2e40939d9af7e14baba","source":{"kind":"arxiv","id":"2506.05335","version":2},"attestation_state":"computed","paper":{"title":"Upper bounds on the Holevo quantity arising from the fundamental entropic inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math-ph","math.IT","math.MP"],"primary_cat":"quant-ph","authors_text":"M.E.Shirokov","submitted_at":"2025-06-05T17:59:26Z","abstract_excerpt":"We show how the fundamental entropic inequality proved recently in [arXiv:2408.15306] can be applied to obtain a useful relation for the Holevo quantity of discrete and continuous ensembles of quantum states.\n  This relation gives a tight upper bound on the Holevo quantity of a given ensemble $\\mu$ expressed in terms of the Holevo quantities of two auxiliary ensembles $\\mu_+$ and $\\mu_-$ produced by $\\mu$. Among others, this implies quite accurate upper bounds on the Holevo quantity of a discrete ensemble of quantum states expressed via the probabilities and the metric characteristics of an en"},"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":"2506.05335","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-05T17:59:26Z","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"title_canon_sha256":"ea26aaf2e119c5d1d4cbb6290468d773bf33a10fd36c652923b57c62f9a49f4e","abstract_canon_sha256":"a853a08814705f5de701a5cb6ebe3f6c8690d1ec3d055274948f8de8af9c63ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:20:38.388736Z","signature_b64":"JH+g3IlSrg+9riuG3t9nX75Cm2C1jaAizfCJzkE7NV0M44NaRbv6VsWpwMciPoeB5fE/zcG2x2QKxKOZ6/0uDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e31679fd72281ebdd325674da9eaeaa12d34d81a444e2e40939d9af7e14baba","last_reissued_at":"2026-07-05T11:20:38.388294Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:20:38.388294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Upper bounds on the Holevo quantity arising from the fundamental entropic inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math-ph","math.IT","math.MP"],"primary_cat":"quant-ph","authors_text":"M.E.Shirokov","submitted_at":"2025-06-05T17:59:26Z","abstract_excerpt":"We show how the fundamental entropic inequality proved recently in [arXiv:2408.15306] can be applied to obtain a useful relation for the Holevo quantity of discrete and continuous ensembles of quantum states.\n  This relation gives a tight upper bound on the Holevo quantity of a given ensemble $\\mu$ expressed in terms of the Holevo quantities of two auxiliary ensembles $\\mu_+$ and $\\mu_-$ produced by $\\mu$. Among others, this implies quite accurate upper bounds on the Holevo quantity of a discrete ensemble of quantum states expressed via the probabilities and the metric characteristics of an en"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05335","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/2506.05335/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":"2506.05335","created_at":"2026-07-05T11:20:38.388363+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.05335v2","created_at":"2026-07-05T11:20:38.388363+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05335","created_at":"2026-07-05T11:20:38.388363+00:00"},{"alias_kind":"pith_short_12","alias_value":"DYYWPH6XEKA6","created_at":"2026-07-05T11:20:38.388363+00:00"},{"alias_kind":"pith_short_16","alias_value":"DYYWPH6XEKA6XXJS","created_at":"2026-07-05T11:20:38.388363+00:00"},{"alias_kind":"pith_short_8","alias_value":"DYYWPH6X","created_at":"2026-07-05T11:20:38.388363+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/DYYWPH6XEKA6XXJSKZ2NVHVOVI","json":"https://pith.science/pith/DYYWPH6XEKA6XXJSKZ2NVHVOVI.json","graph_json":"https://pith.science/api/pith-number/DYYWPH6XEKA6XXJSKZ2NVHVOVI/graph.json","events_json":"https://pith.science/api/pith-number/DYYWPH6XEKA6XXJSKZ2NVHVOVI/events.json","paper":"https://pith.science/paper/DYYWPH6X"},"agent_actions":{"view_html":"https://pith.science/pith/DYYWPH6XEKA6XXJSKZ2NVHVOVI","download_json":"https://pith.science/pith/DYYWPH6XEKA6XXJSKZ2NVHVOVI.json","view_paper":"https://pith.science/paper/DYYWPH6X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.05335&json=true","fetch_graph":"https://pith.science/api/pith-number/DYYWPH6XEKA6XXJSKZ2NVHVOVI/graph.json","fetch_events":"https://pith.science/api/pith-number/DYYWPH6XEKA6XXJSKZ2NVHVOVI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DYYWPH6XEKA6XXJSKZ2NVHVOVI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DYYWPH6XEKA6XXJSKZ2NVHVOVI/action/storage_attestation","attest_author":"https://pith.science/pith/DYYWPH6XEKA6XXJSKZ2NVHVOVI/action/author_attestation","sign_citation":"https://pith.science/pith/DYYWPH6XEKA6XXJSKZ2NVHVOVI/action/citation_signature","submit_replication":"https://pith.science/pith/DYYWPH6XEKA6XXJSKZ2NVHVOVI/action/replication_record"}},"created_at":"2026-07-05T11:20:38.388363+00:00","updated_at":"2026-07-05T11:20:38.388363+00:00"}