{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:62UVILBCNG456QTKJ4EQQGQE2E","short_pith_number":"pith:62UVILBC","schema_version":"1.0","canonical_sha256":"f6a9542c2269b9df426a4f09081a04d13c1ebbaca6b1bb1fbc1d2107d77057a7","source":{"kind":"arxiv","id":"2505.12187","version":1},"attestation_state":"computed","paper":{"title":"Speeding up quantum Markov processes through lifting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","quant-ph"],"primary_cat":"math.PR","authors_text":"Bowen Li, Jianfeng Lu","submitted_at":"2025-05-18T01:19:08Z","abstract_excerpt":"We generalize the concept of non-reversible lifts for reversible diffusion processes initiated by Eberle and Lorler (2024) to quantum Markov dynamics. The lifting operation, which naturally results in hypocoercive processes, can be formally interpreted as, though not restricted to, the reverse of the overdamped limit. We prove that the $L^2$ convergence rate of the lifted process is bounded above by the square root of the spectral gap of its overdamped dynamics, indicating that the lifting approach can at most achieve a transition from diffusive to ballistic mixing speeds. Further, using the v"},"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":"2505.12187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-05-18T01:19:08Z","cross_cats_sorted":["math.FA","quant-ph"],"title_canon_sha256":"c94ac7ad715485caa45bccc2669bd6d6f8cb86f7288e5bd581e244311681ed04","abstract_canon_sha256":"3aacfb65da757ab5ac9ce6a7bae24a82e8e28f135121d13d74df15bab65f78dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:04:59.852450Z","signature_b64":"xcmLtBSqhm4X+is8zDJlTej39VUNX2Hutmk1w0cjsHJWwZy6NCmkWK0I7Hbew/gSDSjNlJQ1xEDIVMhwQ71wCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6a9542c2269b9df426a4f09081a04d13c1ebbaca6b1bb1fbc1d2107d77057a7","last_reissued_at":"2026-07-05T11:04:59.851958Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:04:59.851958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Speeding up quantum Markov processes through lifting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","quant-ph"],"primary_cat":"math.PR","authors_text":"Bowen Li, Jianfeng Lu","submitted_at":"2025-05-18T01:19:08Z","abstract_excerpt":"We generalize the concept of non-reversible lifts for reversible diffusion processes initiated by Eberle and Lorler (2024) to quantum Markov dynamics. The lifting operation, which naturally results in hypocoercive processes, can be formally interpreted as, though not restricted to, the reverse of the overdamped limit. We prove that the $L^2$ convergence rate of the lifted process is bounded above by the square root of the spectral gap of its overdamped dynamics, indicating that the lifting approach can at most achieve a transition from diffusive to ballistic mixing speeds. Further, using the v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.12187","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/2505.12187/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":"2505.12187","created_at":"2026-07-05T11:04:59.852016+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.12187v1","created_at":"2026-07-05T11:04:59.852016+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.12187","created_at":"2026-07-05T11:04:59.852016+00:00"},{"alias_kind":"pith_short_12","alias_value":"62UVILBCNG45","created_at":"2026-07-05T11:04:59.852016+00:00"},{"alias_kind":"pith_short_16","alias_value":"62UVILBCNG456QTK","created_at":"2026-07-05T11:04:59.852016+00:00"},{"alias_kind":"pith_short_8","alias_value":"62UVILBC","created_at":"2026-07-05T11:04:59.852016+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.15616","citing_title":"Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2604.10068","citing_title":"Sharp hypocoercive convergence estimates for underdamped Langevin dynamics via the modified $L^2$ method","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15616","citing_title":"Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions","ref_index":21,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/62UVILBCNG456QTKJ4EQQGQE2E","json":"https://pith.science/pith/62UVILBCNG456QTKJ4EQQGQE2E.json","graph_json":"https://pith.science/api/pith-number/62UVILBCNG456QTKJ4EQQGQE2E/graph.json","events_json":"https://pith.science/api/pith-number/62UVILBCNG456QTKJ4EQQGQE2E/events.json","paper":"https://pith.science/paper/62UVILBC"},"agent_actions":{"view_html":"https://pith.science/pith/62UVILBCNG456QTKJ4EQQGQE2E","download_json":"https://pith.science/pith/62UVILBCNG456QTKJ4EQQGQE2E.json","view_paper":"https://pith.science/paper/62UVILBC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.12187&json=true","fetch_graph":"https://pith.science/api/pith-number/62UVILBCNG456QTKJ4EQQGQE2E/graph.json","fetch_events":"https://pith.science/api/pith-number/62UVILBCNG456QTKJ4EQQGQE2E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/62UVILBCNG456QTKJ4EQQGQE2E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/62UVILBCNG456QTKJ4EQQGQE2E/action/storage_attestation","attest_author":"https://pith.science/pith/62UVILBCNG456QTKJ4EQQGQE2E/action/author_attestation","sign_citation":"https://pith.science/pith/62UVILBCNG456QTKJ4EQQGQE2E/action/citation_signature","submit_replication":"https://pith.science/pith/62UVILBCNG456QTKJ4EQQGQE2E/action/replication_record"}},"created_at":"2026-07-05T11:04:59.852016+00:00","updated_at":"2026-07-05T11:04:59.852016+00:00"}