{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:QJIG26Q3ETM647FV4JPPT24VJE","short_pith_number":"pith:QJIG26Q3","schema_version":"1.0","canonical_sha256":"82506d7a1b24d9ee7cb5e25ef9eb954930c94397e9e93924f798a4bab5950e87","source":{"kind":"arxiv","id":"2509.08286","version":2},"attestation_state":"computed","paper":{"title":"On the CQC Conjecture","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hasan Iqbal","submitted_at":"2025-09-10T05:03:35Z","abstract_excerpt":"The CQC conjecture by Schneeloch et al. (Physical Review A 90.6, 2014) asserts that the sum of classical mutual information between two parties obtained by measuring individual systems in two mutually unbiased bases cannot exceed their shared quantum mutual information. This remarkable conjecture, which deserves more work, still remains open. In this article, using a result by Coles and Piani (Physical Review A 89.2, 2014), we derive a sufficient condition for which the CQC conjecture holds. We show that this condition validates the conjecture for a wider class of states compared to the states"},"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":"2509.08286","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-09-10T05:03:35Z","cross_cats_sorted":[],"title_canon_sha256":"33b6a291794f92e9a52c8353a93b7c12653bbe459053479d403c17a41520d074","abstract_canon_sha256":"24d2361540b4f0dc9f503dc48951a41176d05d1f9485d308e309c4b7ee07ca8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:03:54.597548Z","signature_b64":"Y6Fqa6Hzqgywa1YgIBjTzP8IEbcpPevGup8H67w6EFMKYoO0iES7A3xbkxaHtxBXQuYVzpYyV0krT+fm7hDlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82506d7a1b24d9ee7cb5e25ef9eb954930c94397e9e93924f798a4bab5950e87","last_reissued_at":"2026-05-26T02:03:54.596605Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:03:54.596605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the CQC Conjecture","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hasan Iqbal","submitted_at":"2025-09-10T05:03:35Z","abstract_excerpt":"The CQC conjecture by Schneeloch et al. (Physical Review A 90.6, 2014) asserts that the sum of classical mutual information between two parties obtained by measuring individual systems in two mutually unbiased bases cannot exceed their shared quantum mutual information. This remarkable conjecture, which deserves more work, still remains open. In this article, using a result by Coles and Piani (Physical Review A 89.2, 2014), we derive a sufficient condition for which the CQC conjecture holds. We show that this condition validates the conjecture for a wider class of states compared to the states"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.08286","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/2509.08286/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":"2509.08286","created_at":"2026-05-26T02:03:54.596737+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.08286v2","created_at":"2026-05-26T02:03:54.596737+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.08286","created_at":"2026-05-26T02:03:54.596737+00:00"},{"alias_kind":"pith_short_12","alias_value":"QJIG26Q3ETM6","created_at":"2026-05-26T02:03:54.596737+00:00"},{"alias_kind":"pith_short_16","alias_value":"QJIG26Q3ETM647FV","created_at":"2026-05-26T02:03:54.596737+00:00"},{"alias_kind":"pith_short_8","alias_value":"QJIG26Q3","created_at":"2026-05-26T02:03:54.596737+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/QJIG26Q3ETM647FV4JPPT24VJE","json":"https://pith.science/pith/QJIG26Q3ETM647FV4JPPT24VJE.json","graph_json":"https://pith.science/api/pith-number/QJIG26Q3ETM647FV4JPPT24VJE/graph.json","events_json":"https://pith.science/api/pith-number/QJIG26Q3ETM647FV4JPPT24VJE/events.json","paper":"https://pith.science/paper/QJIG26Q3"},"agent_actions":{"view_html":"https://pith.science/pith/QJIG26Q3ETM647FV4JPPT24VJE","download_json":"https://pith.science/pith/QJIG26Q3ETM647FV4JPPT24VJE.json","view_paper":"https://pith.science/paper/QJIG26Q3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.08286&json=true","fetch_graph":"https://pith.science/api/pith-number/QJIG26Q3ETM647FV4JPPT24VJE/graph.json","fetch_events":"https://pith.science/api/pith-number/QJIG26Q3ETM647FV4JPPT24VJE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QJIG26Q3ETM647FV4JPPT24VJE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QJIG26Q3ETM647FV4JPPT24VJE/action/storage_attestation","attest_author":"https://pith.science/pith/QJIG26Q3ETM647FV4JPPT24VJE/action/author_attestation","sign_citation":"https://pith.science/pith/QJIG26Q3ETM647FV4JPPT24VJE/action/citation_signature","submit_replication":"https://pith.science/pith/QJIG26Q3ETM647FV4JPPT24VJE/action/replication_record"}},"created_at":"2026-05-26T02:03:54.596737+00:00","updated_at":"2026-05-26T02:03:54.596737+00:00"}