{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:O6ASGWAQLW5R6DHH4RPLMRRLJW","short_pith_number":"pith:O6ASGWAQ","schema_version":"1.0","canonical_sha256":"77812358105dbb1f0ce7e45eb6462b4dbacf2a848f8ecbf977a9117e1e50cb95","source":{"kind":"arxiv","id":"2006.15003","version":1},"attestation_state":"computed","paper":{"title":"Truncated moment sequences and a solution to the channel separability problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"2), (2) Universit\\'e Paris-Saclay, CNRS, Daniel Braun (1), France), Germany, LPTMS, Nadia Milazzo (1, Olivier Giraud (2) ((1) Institut f\\\"ur theoretische Physik, Orsay, T\\\"ubingen, Universit\\\"at T\\\"ubingen","submitted_at":"2020-06-26T14:16:56Z","abstract_excerpt":"We consider the problem of separability of quantum channels via the Choi matrix representation given by the Choi-Jamio{\\l}kowski isomorphism. We explore three classes of separability across different cuts between systems and ancillae and we provide a solution based on the mapping of the coordinates of the Choi state (in a fixed basis) to a truncated moment sequence (tms) $y$. This results in an algorithm which gives a separability certificate using semidefinite programming. The computational complexity and the performance of it depend on the number of variables $n$ in the tms and on the size o"},"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":"2006.15003","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-06-26T14:16:56Z","cross_cats_sorted":[],"title_canon_sha256":"4bf08fbd1f21277123f947205300735bec3b8b09a1b78cd99be79117161f1090","abstract_canon_sha256":"be8f24ec99a5f592ec406c7e6459be124d8794a99dec2d6b32ecd5fefe7d3ac3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:50:24.161434Z","signature_b64":"wjPgOZlVPM/miTDzJsn2t7xzmOlN1JAzlvh2iix2p9k3C0woC721kDuUqO+0qegyHzyhU5lAz2xSyqpVpCkGDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77812358105dbb1f0ce7e45eb6462b4dbacf2a848f8ecbf977a9117e1e50cb95","last_reissued_at":"2026-07-05T01:50:24.161032Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:50:24.161032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Truncated moment sequences and a solution to the channel separability problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"2), (2) Universit\\'e Paris-Saclay, CNRS, Daniel Braun (1), France), Germany, LPTMS, Nadia Milazzo (1, Olivier Giraud (2) ((1) Institut f\\\"ur theoretische Physik, Orsay, T\\\"ubingen, Universit\\\"at T\\\"ubingen","submitted_at":"2020-06-26T14:16:56Z","abstract_excerpt":"We consider the problem of separability of quantum channels via the Choi matrix representation given by the Choi-Jamio{\\l}kowski isomorphism. We explore three classes of separability across different cuts between systems and ancillae and we provide a solution based on the mapping of the coordinates of the Choi state (in a fixed basis) to a truncated moment sequence (tms) $y$. This results in an algorithm which gives a separability certificate using semidefinite programming. The computational complexity and the performance of it depend on the number of variables $n$ in the tms and on the size o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.15003","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/2006.15003/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":"2006.15003","created_at":"2026-07-05T01:50:24.161086+00:00"},{"alias_kind":"arxiv_version","alias_value":"2006.15003v1","created_at":"2026-07-05T01:50:24.161086+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.15003","created_at":"2026-07-05T01:50:24.161086+00:00"},{"alias_kind":"pith_short_12","alias_value":"O6ASGWAQLW5R","created_at":"2026-07-05T01:50:24.161086+00:00"},{"alias_kind":"pith_short_16","alias_value":"O6ASGWAQLW5R6DHH","created_at":"2026-07-05T01:50:24.161086+00:00"},{"alias_kind":"pith_short_8","alias_value":"O6ASGWAQ","created_at":"2026-07-05T01:50:24.161086+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/O6ASGWAQLW5R6DHH4RPLMRRLJW","json":"https://pith.science/pith/O6ASGWAQLW5R6DHH4RPLMRRLJW.json","graph_json":"https://pith.science/api/pith-number/O6ASGWAQLW5R6DHH4RPLMRRLJW/graph.json","events_json":"https://pith.science/api/pith-number/O6ASGWAQLW5R6DHH4RPLMRRLJW/events.json","paper":"https://pith.science/paper/O6ASGWAQ"},"agent_actions":{"view_html":"https://pith.science/pith/O6ASGWAQLW5R6DHH4RPLMRRLJW","download_json":"https://pith.science/pith/O6ASGWAQLW5R6DHH4RPLMRRLJW.json","view_paper":"https://pith.science/paper/O6ASGWAQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2006.15003&json=true","fetch_graph":"https://pith.science/api/pith-number/O6ASGWAQLW5R6DHH4RPLMRRLJW/graph.json","fetch_events":"https://pith.science/api/pith-number/O6ASGWAQLW5R6DHH4RPLMRRLJW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O6ASGWAQLW5R6DHH4RPLMRRLJW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O6ASGWAQLW5R6DHH4RPLMRRLJW/action/storage_attestation","attest_author":"https://pith.science/pith/O6ASGWAQLW5R6DHH4RPLMRRLJW/action/author_attestation","sign_citation":"https://pith.science/pith/O6ASGWAQLW5R6DHH4RPLMRRLJW/action/citation_signature","submit_replication":"https://pith.science/pith/O6ASGWAQLW5R6DHH4RPLMRRLJW/action/replication_record"}},"created_at":"2026-07-05T01:50:24.161086+00:00","updated_at":"2026-07-05T01:50:24.161086+00:00"}