{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:7PHHB53VTMEGNILQOCIVWRKOQS","short_pith_number":"pith:7PHHB53V","schema_version":"1.0","canonical_sha256":"fbce70f7759b0866a17070915b454e84afdf84dd9ded1d719e8d4ec409d9ac37","source":{"kind":"arxiv","id":"2409.15149","version":1},"attestation_state":"computed","paper":{"title":"Joint State-Channel Decoupling and One-Shot Quantum Coding Theorem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fr\\'ed\\'eric Dupuis, Hao-Chung Cheng, Li Gao","submitted_at":"2024-09-23T15:59:16Z","abstract_excerpt":"In this work, we consider decoupling a bipartite quantum state via a general quantum channel. We propose a joint state-channel decoupling approach to obtain a one-shot error exponent bound without smoothing, in which trace distance is used to measure how good the decoupling is. The established exponent is expressed in terms of a sum of two sandwiched R{\\'e}nyi entropies, one quantifying the amount of initial correlation between the state and environment, while the other characterizing the effectiveness of the quantum channel. This gives an explicit exponential decay of the decoupling error in "},"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":"2409.15149","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-09-23T15:59:16Z","cross_cats_sorted":[],"title_canon_sha256":"7e3564f19f6f3f2a253bae715c293cc795ccf5265719faacac38f09e19bede56","abstract_canon_sha256":"6f58ff281adecbd0c9374805129367405389bc47bec217dbbdbdff46bef6f061"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:10:36.766523Z","signature_b64":"9PpQL87I6wmPHOqTbmjm+O2IZq5mDh01wpa/Rbyxgb3DwuTI11CTYrUUtCfhux/l5kPwosAZJKfjV9EfXGsmAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbce70f7759b0866a17070915b454e84afdf84dd9ded1d719e8d4ec409d9ac37","last_reissued_at":"2026-07-05T09:10:36.766096Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:10:36.766096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Joint State-Channel Decoupling and One-Shot Quantum Coding Theorem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fr\\'ed\\'eric Dupuis, Hao-Chung Cheng, Li Gao","submitted_at":"2024-09-23T15:59:16Z","abstract_excerpt":"In this work, we consider decoupling a bipartite quantum state via a general quantum channel. We propose a joint state-channel decoupling approach to obtain a one-shot error exponent bound without smoothing, in which trace distance is used to measure how good the decoupling is. The established exponent is expressed in terms of a sum of two sandwiched R{\\'e}nyi entropies, one quantifying the amount of initial correlation between the state and environment, while the other characterizing the effectiveness of the quantum channel. This gives an explicit exponential decay of the decoupling error in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.15149","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/2409.15149/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":"2409.15149","created_at":"2026-07-05T09:10:36.766162+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.15149v1","created_at":"2026-07-05T09:10:36.766162+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.15149","created_at":"2026-07-05T09:10:36.766162+00:00"},{"alias_kind":"pith_short_12","alias_value":"7PHHB53VTMEG","created_at":"2026-07-05T09:10:36.766162+00:00"},{"alias_kind":"pith_short_16","alias_value":"7PHHB53VTMEGNILQ","created_at":"2026-07-05T09:10:36.766162+00:00"},{"alias_kind":"pith_short_8","alias_value":"7PHHB53V","created_at":"2026-07-05T09:10:36.766162+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.06246","citing_title":"Multiple Quantum Hypothesis Testing: One-Shot Pairwise Bounds and Sharp Asymptotics","ref_index":43,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7PHHB53VTMEGNILQOCIVWRKOQS","json":"https://pith.science/pith/7PHHB53VTMEGNILQOCIVWRKOQS.json","graph_json":"https://pith.science/api/pith-number/7PHHB53VTMEGNILQOCIVWRKOQS/graph.json","events_json":"https://pith.science/api/pith-number/7PHHB53VTMEGNILQOCIVWRKOQS/events.json","paper":"https://pith.science/paper/7PHHB53V"},"agent_actions":{"view_html":"https://pith.science/pith/7PHHB53VTMEGNILQOCIVWRKOQS","download_json":"https://pith.science/pith/7PHHB53VTMEGNILQOCIVWRKOQS.json","view_paper":"https://pith.science/paper/7PHHB53V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.15149&json=true","fetch_graph":"https://pith.science/api/pith-number/7PHHB53VTMEGNILQOCIVWRKOQS/graph.json","fetch_events":"https://pith.science/api/pith-number/7PHHB53VTMEGNILQOCIVWRKOQS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7PHHB53VTMEGNILQOCIVWRKOQS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7PHHB53VTMEGNILQOCIVWRKOQS/action/storage_attestation","attest_author":"https://pith.science/pith/7PHHB53VTMEGNILQOCIVWRKOQS/action/author_attestation","sign_citation":"https://pith.science/pith/7PHHB53VTMEGNILQOCIVWRKOQS/action/citation_signature","submit_replication":"https://pith.science/pith/7PHHB53VTMEGNILQOCIVWRKOQS/action/replication_record"}},"created_at":"2026-07-05T09:10:36.766162+00:00","updated_at":"2026-07-05T09:10:36.766162+00:00"}