{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:DUYWYCZA272KCS74OAGF4T3HFB","short_pith_number":"pith:DUYWYCZA","schema_version":"1.0","canonical_sha256":"1d316c0b20d7f4a14bfc700c5e4f67286c131d216a49a2763aa961a9c4ce6467","source":{"kind":"arxiv","id":"2206.09415","version":2},"attestation_state":"computed","paper":{"title":"Strong Converse Bounds for Compression of Mixed States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Zahra Baghali Khanian","submitted_at":"2022-06-19T14:38:37Z","abstract_excerpt":"In this paper, we study strong converse properties for both visible and blind compression of mixed states. The optimal rate of a visible compression scheme is obtained in terms of the entanglement of purification, whose additivity remains unknown so far. For a variation of extendible states, we prove that the entanglement of purification is additive and apply this to obtain a \"pretty strong\" converse bound for the blind and visible compression of such states. Namely, when the rate decreases below the optimal rate, the error exhibits a discontinuous jump from 0 to at least $\\frac{1}{3\\sqrt{2}}$"},"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":"2206.09415","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-06-19T14:38:37Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"86e461f6a059da4bca03d1e0e784c8588bdfb9e7ad3926f8001429068f38b68d","abstract_canon_sha256":"843ec164fd67931a3fc651b1c4b38deaecf0774c6d26e5170ad5db90d3bd7f92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:51:17.323571Z","signature_b64":"j5vDoLqx24sc2ZKyHx4gisMVkAGrifQAuC938Ua/ZWhT91pWYLvdiV2TDy8ddd6RZAQAifKSbALa2qLYY/+wBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d316c0b20d7f4a14bfc700c5e4f67286c131d216a49a2763aa961a9c4ce6467","last_reissued_at":"2026-07-05T10:51:17.323046Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:51:17.323046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong Converse Bounds for Compression of Mixed States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Zahra Baghali Khanian","submitted_at":"2022-06-19T14:38:37Z","abstract_excerpt":"In this paper, we study strong converse properties for both visible and blind compression of mixed states. The optimal rate of a visible compression scheme is obtained in terms of the entanglement of purification, whose additivity remains unknown so far. For a variation of extendible states, we prove that the entanglement of purification is additive and apply this to obtain a \"pretty strong\" converse bound for the blind and visible compression of such states. Namely, when the rate decreases below the optimal rate, the error exhibits a discontinuous jump from 0 to at least $\\frac{1}{3\\sqrt{2}}$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.09415","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/2206.09415/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":"2206.09415","created_at":"2026-07-05T10:51:17.323116+00:00"},{"alias_kind":"arxiv_version","alias_value":"2206.09415v2","created_at":"2026-07-05T10:51:17.323116+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.09415","created_at":"2026-07-05T10:51:17.323116+00:00"},{"alias_kind":"pith_short_12","alias_value":"DUYWYCZA272K","created_at":"2026-07-05T10:51:17.323116+00:00"},{"alias_kind":"pith_short_16","alias_value":"DUYWYCZA272KCS74","created_at":"2026-07-05T10:51:17.323116+00:00"},{"alias_kind":"pith_short_8","alias_value":"DUYWYCZA","created_at":"2026-07-05T10:51:17.323116+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.17119","citing_title":"Empirical Coordination of Quantum Correlations","ref_index":58,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DUYWYCZA272KCS74OAGF4T3HFB","json":"https://pith.science/pith/DUYWYCZA272KCS74OAGF4T3HFB.json","graph_json":"https://pith.science/api/pith-number/DUYWYCZA272KCS74OAGF4T3HFB/graph.json","events_json":"https://pith.science/api/pith-number/DUYWYCZA272KCS74OAGF4T3HFB/events.json","paper":"https://pith.science/paper/DUYWYCZA"},"agent_actions":{"view_html":"https://pith.science/pith/DUYWYCZA272KCS74OAGF4T3HFB","download_json":"https://pith.science/pith/DUYWYCZA272KCS74OAGF4T3HFB.json","view_paper":"https://pith.science/paper/DUYWYCZA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2206.09415&json=true","fetch_graph":"https://pith.science/api/pith-number/DUYWYCZA272KCS74OAGF4T3HFB/graph.json","fetch_events":"https://pith.science/api/pith-number/DUYWYCZA272KCS74OAGF4T3HFB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DUYWYCZA272KCS74OAGF4T3HFB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DUYWYCZA272KCS74OAGF4T3HFB/action/storage_attestation","attest_author":"https://pith.science/pith/DUYWYCZA272KCS74OAGF4T3HFB/action/author_attestation","sign_citation":"https://pith.science/pith/DUYWYCZA272KCS74OAGF4T3HFB/action/citation_signature","submit_replication":"https://pith.science/pith/DUYWYCZA272KCS74OAGF4T3HFB/action/replication_record"}},"created_at":"2026-07-05T10:51:17.323116+00:00","updated_at":"2026-07-05T10:51:17.323116+00:00"}