{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:NEQHTUKKRM26SCNS22ODEDE6AQ","short_pith_number":"pith:NEQHTUKK","schema_version":"1.0","canonical_sha256":"692079d14a8b35e909b2d69c320c9e040917df2d55dba340536f2a93ad3580c8","source":{"kind":"arxiv","id":"2210.17448","version":2},"attestation_state":"computed","paper":{"title":"Geometry of phase-covariant qubit channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Katarzyna Siudzi\\'nska","submitted_at":"2022-10-31T16:20:27Z","abstract_excerpt":"We analyze the geometry on the space of non-unital phase-covariant qubit maps. Using the corresponding Choi-Jamio{\\l}kowski states, we derive the Hilbert-Schmidt line and volume elements using the channel eigenvalues together with the parameter that characterizes non-unitality. We find the shapes and analytically compute the volumes of phase-covariant channels, in particular entanglement breaking and obtainable with time-local generators."},"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":"2210.17448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-31T16:20:27Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4c7ea2f8f9658d6ec763577e0a9393456f7e3696f7216c1bf7a5322195cde2e1","abstract_canon_sha256":"fabf987913cbfd55892da9ca8d61af19066de49196de30b4b1136286332a9868"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:09:45.065979Z","signature_b64":"LiqGmHrohB9UbhOhckb17YOfgFMflNAjrDlqzaCbxOgsoJuj3LWGbIyRiDzLnIcirua+UO3FxMp0JF/apn8KAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"692079d14a8b35e909b2d69c320c9e040917df2d55dba340536f2a93ad3580c8","last_reissued_at":"2026-06-19T16:09:45.065594Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:09:45.065594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometry of phase-covariant qubit channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Katarzyna Siudzi\\'nska","submitted_at":"2022-10-31T16:20:27Z","abstract_excerpt":"We analyze the geometry on the space of non-unital phase-covariant qubit maps. Using the corresponding Choi-Jamio{\\l}kowski states, we derive the Hilbert-Schmidt line and volume elements using the channel eigenvalues together with the parameter that characterizes non-unitality. We find the shapes and analytically compute the volumes of phase-covariant channels, in particular entanglement breaking and obtainable with time-local generators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.17448","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/2210.17448/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":"2210.17448","created_at":"2026-06-19T16:09:45.065650+00:00"},{"alias_kind":"arxiv_version","alias_value":"2210.17448v2","created_at":"2026-06-19T16:09:45.065650+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.17448","created_at":"2026-06-19T16:09:45.065650+00:00"},{"alias_kind":"pith_short_12","alias_value":"NEQHTUKKRM26","created_at":"2026-06-19T16:09:45.065650+00:00"},{"alias_kind":"pith_short_16","alias_value":"NEQHTUKKRM26SCNS","created_at":"2026-06-19T16:09:45.065650+00:00"},{"alias_kind":"pith_short_8","alias_value":"NEQHTUKK","created_at":"2026-06-19T16:09:45.065650+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.00116","citing_title":"Open-systems tools for non-thermalizing closed quantum systems","ref_index":42,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ","json":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ.json","graph_json":"https://pith.science/api/pith-number/NEQHTUKKRM26SCNS22ODEDE6AQ/graph.json","events_json":"https://pith.science/api/pith-number/NEQHTUKKRM26SCNS22ODEDE6AQ/events.json","paper":"https://pith.science/paper/NEQHTUKK"},"agent_actions":{"view_html":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ","download_json":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ.json","view_paper":"https://pith.science/paper/NEQHTUKK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2210.17448&json=true","fetch_graph":"https://pith.science/api/pith-number/NEQHTUKKRM26SCNS22ODEDE6AQ/graph.json","fetch_events":"https://pith.science/api/pith-number/NEQHTUKKRM26SCNS22ODEDE6AQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/action/storage_attestation","attest_author":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/action/author_attestation","sign_citation":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/action/citation_signature","submit_replication":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/action/replication_record"}},"created_at":"2026-06-19T16:09:45.065650+00:00","updated_at":"2026-06-19T16:09:45.065650+00:00"}