{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:42YRU7MMM2XFIQZB567GHVC4YM","short_pith_number":"pith:42YRU7MM","schema_version":"1.0","canonical_sha256":"e6b11a7d8c66ae544321efbe63d45cc32f5ecaa9804cca9aded9428a8af5d5d6","source":{"kind":"arxiv","id":"2509.08059","version":1},"attestation_state":"computed","paper":{"title":"Cloning Quantum Channels","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Michalis Skotiniotis, Naga Bhavya Teja Kothakonda, Pavel Sekatski, Yelena Guryanova","submitted_at":"2025-09-09T18:01:16Z","abstract_excerpt":"We consider the problem of deterministically cloning quantum channels with respect to the best attainable rate and the highest quality, so-called optimal cloning. We demonstrate that cloning quantum states is, in-fact, equivalent to cloning the trash-and-replace channel and therefore the former is a special case of the more general problem. By appealing to higher-order quantum operations (quantum processes) we construct a unified framework to deal with the most general cloning tasks and establish necessary conditions for a family of channels to exhibit super-replication -- a quadratic cloning "},"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":"2509.08059","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-09-09T18:01:16Z","cross_cats_sorted":[],"title_canon_sha256":"1701ab21cf47381f7893c757ee5e024373aac9c1f132081c750ba436d41caf9b","abstract_canon_sha256":"b18c84d8ae5f46f2b59bcceeb370cf61d334f64d8fa2b57138fd41e6a9cb679b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:08:21.522350Z","signature_b64":"ZXnWeV4TAHFdmNVfB3jbtAZAfrpsV4Ztb9wDZGvcleGT5UYNEPhd+DmHVI4ldpxOTpSdU75sJOoz70HCCLC4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6b11a7d8c66ae544321efbe63d45cc32f5ecaa9804cca9aded9428a8af5d5d6","last_reissued_at":"2026-07-05T12:08:21.521853Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:08:21.521853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cloning Quantum Channels","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Michalis Skotiniotis, Naga Bhavya Teja Kothakonda, Pavel Sekatski, Yelena Guryanova","submitted_at":"2025-09-09T18:01:16Z","abstract_excerpt":"We consider the problem of deterministically cloning quantum channels with respect to the best attainable rate and the highest quality, so-called optimal cloning. We demonstrate that cloning quantum states is, in-fact, equivalent to cloning the trash-and-replace channel and therefore the former is a special case of the more general problem. By appealing to higher-order quantum operations (quantum processes) we construct a unified framework to deal with the most general cloning tasks and establish necessary conditions for a family of channels to exhibit super-replication -- a quadratic cloning "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.08059","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/2509.08059/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":"2509.08059","created_at":"2026-07-05T12:08:21.521911+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.08059v1","created_at":"2026-07-05T12:08:21.521911+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.08059","created_at":"2026-07-05T12:08:21.521911+00:00"},{"alias_kind":"pith_short_12","alias_value":"42YRU7MMM2XF","created_at":"2026-07-05T12:08:21.521911+00:00"},{"alias_kind":"pith_short_16","alias_value":"42YRU7MMM2XFIQZB","created_at":"2026-07-05T12:08:21.521911+00:00"},{"alias_kind":"pith_short_8","alias_value":"42YRU7MM","created_at":"2026-07-05T12:08:21.521911+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.25124","citing_title":"Self-testing Quantum Supermaps","ref_index":41,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/42YRU7MMM2XFIQZB567GHVC4YM","json":"https://pith.science/pith/42YRU7MMM2XFIQZB567GHVC4YM.json","graph_json":"https://pith.science/api/pith-number/42YRU7MMM2XFIQZB567GHVC4YM/graph.json","events_json":"https://pith.science/api/pith-number/42YRU7MMM2XFIQZB567GHVC4YM/events.json","paper":"https://pith.science/paper/42YRU7MM"},"agent_actions":{"view_html":"https://pith.science/pith/42YRU7MMM2XFIQZB567GHVC4YM","download_json":"https://pith.science/pith/42YRU7MMM2XFIQZB567GHVC4YM.json","view_paper":"https://pith.science/paper/42YRU7MM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.08059&json=true","fetch_graph":"https://pith.science/api/pith-number/42YRU7MMM2XFIQZB567GHVC4YM/graph.json","fetch_events":"https://pith.science/api/pith-number/42YRU7MMM2XFIQZB567GHVC4YM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/42YRU7MMM2XFIQZB567GHVC4YM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/42YRU7MMM2XFIQZB567GHVC4YM/action/storage_attestation","attest_author":"https://pith.science/pith/42YRU7MMM2XFIQZB567GHVC4YM/action/author_attestation","sign_citation":"https://pith.science/pith/42YRU7MMM2XFIQZB567GHVC4YM/action/citation_signature","submit_replication":"https://pith.science/pith/42YRU7MMM2XFIQZB567GHVC4YM/action/replication_record"}},"created_at":"2026-07-05T12:08:21.521911+00:00","updated_at":"2026-07-05T12:08:21.521911+00:00"}