{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:TMKLIZWFBUWW2LFGLN24O2POJW","short_pith_number":"pith:TMKLIZWF","schema_version":"1.0","canonical_sha256":"9b14b466c50d2d6d2ca65b75c769ee4dae48d60ba79263c921cd7da19a937a86","source":{"kind":"arxiv","id":"quant-ph/0307227","version":1},"attestation_state":"computed","paper":{"title":"On the existence of physical transformations between sets of quantum states","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andreas Winter, Anthony Chefles, Richard Jozsa","submitted_at":"2003-07-30T11:04:06Z","abstract_excerpt":"Let A = {rho_1,...,rho_n} be a given set of quantum states. We consider the problem of finding necessary and sufficient conditions on another set B = {sigma_1,...,sigma_n} that guarantee the existence of a physical transformation taking rho_i to sigma_i for all i. Uhlmann has given an elegant such condition when both sets comprise pure states. We give a simple proof of this condition and develop some consequences. Then we consider multi-probabilistic transformations between sets of pure states which leads to conditions for the problem of transformability between A and B when one set is pure an"},"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":"quant-ph/0307227","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2003-07-30T11:04:06Z","cross_cats_sorted":[],"title_canon_sha256":"b9ee48eaf8056e3cc63cf07a7f519cf21bc43f2d7f77a34d27322bd9622c502c","abstract_canon_sha256":"38303f1b99018650ad9fd408039db98e5c488e31564d737b6d31d9df3fd2bc7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:07.493186Z","signature_b64":"s6npq/ErXBjDsSrGaTxJUvwDRLPywt31qRRpGzAdn8o7yvl9UO7c+E5Y7rsxaR6JeTMivzClEidzqatM0kdqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b14b466c50d2d6d2ca65b75c769ee4dae48d60ba79263c921cd7da19a937a86","last_reissued_at":"2026-05-18T00:39:07.491176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:07.491176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the existence of physical transformations between sets of quantum states","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andreas Winter, Anthony Chefles, Richard Jozsa","submitted_at":"2003-07-30T11:04:06Z","abstract_excerpt":"Let A = {rho_1,...,rho_n} be a given set of quantum states. We consider the problem of finding necessary and sufficient conditions on another set B = {sigma_1,...,sigma_n} that guarantee the existence of a physical transformation taking rho_i to sigma_i for all i. Uhlmann has given an elegant such condition when both sets comprise pure states. We give a simple proof of this condition and develop some consequences. Then we consider multi-probabilistic transformations between sets of pure states which leads to conditions for the problem of transformability between A and B when one set is pure an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0307227","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":""},"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":"quant-ph/0307227","created_at":"2026-05-18T00:39:07.491279+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0307227v1","created_at":"2026-05-18T00:39:07.491279+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0307227","created_at":"2026-05-18T00:39:07.491279+00:00"},{"alias_kind":"pith_short_12","alias_value":"TMKLIZWFBUWW","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"TMKLIZWFBUWW2LFG","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"TMKLIZWF","created_at":"2026-05-18T12:25:52.051335+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.01366","citing_title":"Probabilistic exact universal quantum circuits for transforming unitary operations","ref_index":59,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TMKLIZWFBUWW2LFGLN24O2POJW","json":"https://pith.science/pith/TMKLIZWFBUWW2LFGLN24O2POJW.json","graph_json":"https://pith.science/api/pith-number/TMKLIZWFBUWW2LFGLN24O2POJW/graph.json","events_json":"https://pith.science/api/pith-number/TMKLIZWFBUWW2LFGLN24O2POJW/events.json","paper":"https://pith.science/paper/TMKLIZWF"},"agent_actions":{"view_html":"https://pith.science/pith/TMKLIZWFBUWW2LFGLN24O2POJW","download_json":"https://pith.science/pith/TMKLIZWFBUWW2LFGLN24O2POJW.json","view_paper":"https://pith.science/paper/TMKLIZWF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0307227&json=true","fetch_graph":"https://pith.science/api/pith-number/TMKLIZWFBUWW2LFGLN24O2POJW/graph.json","fetch_events":"https://pith.science/api/pith-number/TMKLIZWFBUWW2LFGLN24O2POJW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TMKLIZWFBUWW2LFGLN24O2POJW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TMKLIZWFBUWW2LFGLN24O2POJW/action/storage_attestation","attest_author":"https://pith.science/pith/TMKLIZWFBUWW2LFGLN24O2POJW/action/author_attestation","sign_citation":"https://pith.science/pith/TMKLIZWFBUWW2LFGLN24O2POJW/action/citation_signature","submit_replication":"https://pith.science/pith/TMKLIZWFBUWW2LFGLN24O2POJW/action/replication_record"}},"created_at":"2026-05-18T00:39:07.491279+00:00","updated_at":"2026-05-18T00:39:07.491279+00:00"}