{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:O7PXHSYRISQNNTALTASP3X63E3","short_pith_number":"pith:O7PXHSYR","schema_version":"1.0","canonical_sha256":"77df73cb1144a0d6cc0b9824fddfdb26d5f29fea8c1f0bdebb0312789d3a49b1","source":{"kind":"arxiv","id":"2607.27757","version":1},"attestation_state":"computed","paper":{"title":"Exact Incompatibility-Breaking Criterion for Unital Qubit Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Yujie Zhang","submitted_at":"2026-07-30T06:55:37Z","abstract_excerpt":"We study when a noisy qubit channel renders all positive-operator-valued measures (POVMs) jointly measurable. For every unital qubit channel, we derive the exact incompatibility-breaking criterion and prove that projective measurements already determine the boundary for arbitrary POVMs. Through the steering--joint-measurability correspondence, this result gives the exact POVM-steering boundary for all two-qubit states with maximally mixed marginals, with the Werner states recovered as a special case. For nonunital qubit channels, we construct a generally asymmetric parent POVM and obtain an ex"},"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":"2607.27757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-30T06:55:37Z","cross_cats_sorted":[],"title_canon_sha256":"5092fd4d0a2fe0e3f503f67ecae28d72c82b71510edaa597e569b265dccc130d","abstract_canon_sha256":"8429029702f8470c4e58fc2a8ea3e638ff730a662653b5e2c02441b1878b3929"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77df73cb1144a0d6cc0b9824fddfdb26d5f29fea8c1f0bdebb0312789d3a49b1","last_reissued_at":"2026-07-31T01:30:29.520493Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-31T01:30:29.520493Z"},"graph_snapshot":{"paper":{"title":"Exact Incompatibility-Breaking Criterion for Unital Qubit Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Yujie Zhang","submitted_at":"2026-07-30T06:55:37Z","abstract_excerpt":"We study when a noisy qubit channel renders all positive-operator-valued measures (POVMs) jointly measurable. For every unital qubit channel, we derive the exact incompatibility-breaking criterion and prove that projective measurements already determine the boundary for arbitrary POVMs. Through the steering--joint-measurability correspondence, this result gives the exact POVM-steering boundary for all two-qubit states with maximally mixed marginals, with the Werner states recovered as a special case. For nonunital qubit channels, we construct a generally asymmetric parent POVM and obtain an ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.27757","kind":"arxiv","version":1},"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/2607.27757/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":"2607.27757","created_at":"2026-07-31T01:30:29.523735+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.27757v1","created_at":"2026-07-31T01:30:29.523735+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.27757","created_at":"2026-07-31T01:30:29.523735+00:00"},{"alias_kind":"pith_short_12","alias_value":"O7PXHSYRISQN","created_at":"2026-07-31T01:30:29.523735+00:00"},{"alias_kind":"pith_short_16","alias_value":"O7PXHSYRISQNNTAL","created_at":"2026-07-31T01:30:29.523735+00:00"},{"alias_kind":"pith_short_8","alias_value":"O7PXHSYR","created_at":"2026-07-31T01:30:29.523735+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/O7PXHSYRISQNNTALTASP3X63E3","json":"https://pith.science/pith/O7PXHSYRISQNNTALTASP3X63E3.json","graph_json":"https://pith.science/api/pith-number/O7PXHSYRISQNNTALTASP3X63E3/graph.json","events_json":"https://pith.science/api/pith-number/O7PXHSYRISQNNTALTASP3X63E3/events.json","paper":"https://pith.science/paper/O7PXHSYR"},"agent_actions":{"view_html":"https://pith.science/pith/O7PXHSYRISQNNTALTASP3X63E3","download_json":"https://pith.science/pith/O7PXHSYRISQNNTALTASP3X63E3.json","view_paper":"https://pith.science/paper/O7PXHSYR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.27757&json=true","fetch_graph":"https://pith.science/api/pith-number/O7PXHSYRISQNNTALTASP3X63E3/graph.json","fetch_events":"https://pith.science/api/pith-number/O7PXHSYRISQNNTALTASP3X63E3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O7PXHSYRISQNNTALTASP3X63E3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O7PXHSYRISQNNTALTASP3X63E3/action/storage_attestation","attest_author":"https://pith.science/pith/O7PXHSYRISQNNTALTASP3X63E3/action/author_attestation","sign_citation":"https://pith.science/pith/O7PXHSYRISQNNTALTASP3X63E3/action/citation_signature","submit_replication":"https://pith.science/pith/O7PXHSYRISQNNTALTASP3X63E3/action/replication_record"}},"created_at":"2026-07-31T01:30:29.523735+00:00","updated_at":"2026-07-31T01:30:29.523735+00:00"}