{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:NSHGNCS3J6GNN3SUTAWQ2MMWIE","short_pith_number":"pith:NSHGNCS3","schema_version":"1.0","canonical_sha256":"6c8e668a5b4f8cd6ee54982d0d31964119e9ca145a5a4edfff92875758bbad97","source":{"kind":"arxiv","id":"2605.20907","version":1},"attestation_state":"computed","paper":{"title":"Symmetric dilations of Pauli channels and semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Marco Cattaneo","submitted_at":"2026-05-20T08:53:39Z","abstract_excerpt":"We explore the symmetry properties of Stinespring dilations of single-qubit Pauli channels, addressing both the generic case and the specific examples of phase damping and depolarizing channels. For each scenario, we derive the representation of the Pauli group acting on the Hilbert space of the environment. We then focus on dilations that are continuous in time and driven by a time-independent Hamiltonian, and on collision models that generate a Pauli dynamical semigroup in the limit of fast collisions. First, we complement some recent general results on these types of dilations (M. Cattaneo,"},"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":"2605.20907","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-20T08:53:39Z","cross_cats_sorted":[],"title_canon_sha256":"904c1ccac437fbf84a5b46d35c0f2722628eaa93a44f4d4acd2face52a143818","abstract_canon_sha256":"b6229ddcf5bd655a063d487ed7de2259daa230a7f12cb57e296a24a495594c5a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:27.372732Z","signature_b64":"xYMAlC1ZKTSfs6z9hzk+RkouydyTiDZeRH1oZgo+02CpiHJ4dOJ/AfGvO/WptCQl1faWpZUVbc4sWEreEmxuCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c8e668a5b4f8cd6ee54982d0d31964119e9ca145a5a4edfff92875758bbad97","last_reissued_at":"2026-05-21T01:05:27.372286Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:27.372286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetric dilations of Pauli channels and semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Marco Cattaneo","submitted_at":"2026-05-20T08:53:39Z","abstract_excerpt":"We explore the symmetry properties of Stinespring dilations of single-qubit Pauli channels, addressing both the generic case and the specific examples of phase damping and depolarizing channels. For each scenario, we derive the representation of the Pauli group acting on the Hilbert space of the environment. We then focus on dilations that are continuous in time and driven by a time-independent Hamiltonian, and on collision models that generate a Pauli dynamical semigroup in the limit of fast collisions. First, we complement some recent general results on these types of dilations (M. Cattaneo,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20907","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/2605.20907/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":"2605.20907","created_at":"2026-05-21T01:05:27.372364+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.20907v1","created_at":"2026-05-21T01:05:27.372364+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20907","created_at":"2026-05-21T01:05:27.372364+00:00"},{"alias_kind":"pith_short_12","alias_value":"NSHGNCS3J6GN","created_at":"2026-05-21T01:05:27.372364+00:00"},{"alias_kind":"pith_short_16","alias_value":"NSHGNCS3J6GNN3SU","created_at":"2026-05-21T01:05:27.372364+00:00"},{"alias_kind":"pith_short_8","alias_value":"NSHGNCS3","created_at":"2026-05-21T01:05:27.372364+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/NSHGNCS3J6GNN3SUTAWQ2MMWIE","json":"https://pith.science/pith/NSHGNCS3J6GNN3SUTAWQ2MMWIE.json","graph_json":"https://pith.science/api/pith-number/NSHGNCS3J6GNN3SUTAWQ2MMWIE/graph.json","events_json":"https://pith.science/api/pith-number/NSHGNCS3J6GNN3SUTAWQ2MMWIE/events.json","paper":"https://pith.science/paper/NSHGNCS3"},"agent_actions":{"view_html":"https://pith.science/pith/NSHGNCS3J6GNN3SUTAWQ2MMWIE","download_json":"https://pith.science/pith/NSHGNCS3J6GNN3SUTAWQ2MMWIE.json","view_paper":"https://pith.science/paper/NSHGNCS3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.20907&json=true","fetch_graph":"https://pith.science/api/pith-number/NSHGNCS3J6GNN3SUTAWQ2MMWIE/graph.json","fetch_events":"https://pith.science/api/pith-number/NSHGNCS3J6GNN3SUTAWQ2MMWIE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NSHGNCS3J6GNN3SUTAWQ2MMWIE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NSHGNCS3J6GNN3SUTAWQ2MMWIE/action/storage_attestation","attest_author":"https://pith.science/pith/NSHGNCS3J6GNN3SUTAWQ2MMWIE/action/author_attestation","sign_citation":"https://pith.science/pith/NSHGNCS3J6GNN3SUTAWQ2MMWIE/action/citation_signature","submit_replication":"https://pith.science/pith/NSHGNCS3J6GNN3SUTAWQ2MMWIE/action/replication_record"}},"created_at":"2026-05-21T01:05:27.372364+00:00","updated_at":"2026-05-21T01:05:27.372364+00:00"}