{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:UTSLQGV32YLB3F6UVQJMHBBJ3M","short_pith_number":"pith:UTSLQGV3","schema_version":"1.0","canonical_sha256":"a4e4b81abbd6161d97d4ac12c38429db0714e8e838212e5b293322fcc165f8a5","source":{"kind":"arxiv","id":"1312.1857","version":1},"attestation_state":"computed","paper":{"title":"Deriving tight error-trade-off relations for approximate joint measurements of incompatible quantum observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Cyril Branciard","submitted_at":"2013-12-06T13:36:48Z","abstract_excerpt":"The quantification of the \"measurement uncertainty\" aspect of Heisenberg's Uncertainty Principle---that is, the study of trade-offs between accuracy and disturbance, or between accuracies in an approximate joint measurement on two incompatible observables---has regained a lot of interest recently. Several approaches have been proposed and debated. In this paper we consider Ozawa's definitions for inaccuracies (as root-mean-square errors) in approximate joint measurements, and study how these are constrained in different cases, whether one specifies certain properties of the approximations---na"},"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":"1312.1857","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-06T13:36:48Z","cross_cats_sorted":[],"title_canon_sha256":"ccd525309c5f9b41b6fb22ac16dfe885e456b440ad4ed39cb586cd7957a3b7b6","abstract_canon_sha256":"d2399fd1a53c3c981c4e623af87edd1a669360347cac7578fdc95bb6c2be4d79"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:43.289305Z","signature_b64":"ZTwJ9NLYXl5+2Y2yPRauKD6rZ3o7zTQBNL0ConlR3Jgst8Ab2rnfPz54yd630zAj0Png5GcpdMvlu8ghU10zDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4e4b81abbd6161d97d4ac12c38429db0714e8e838212e5b293322fcc165f8a5","last_reissued_at":"2026-05-18T02:57:43.288748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:43.288748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deriving tight error-trade-off relations for approximate joint measurements of incompatible quantum observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Cyril Branciard","submitted_at":"2013-12-06T13:36:48Z","abstract_excerpt":"The quantification of the \"measurement uncertainty\" aspect of Heisenberg's Uncertainty Principle---that is, the study of trade-offs between accuracy and disturbance, or between accuracies in an approximate joint measurement on two incompatible observables---has regained a lot of interest recently. Several approaches have been proposed and debated. In this paper we consider Ozawa's definitions for inaccuracies (as root-mean-square errors) in approximate joint measurements, and study how these are constrained in different cases, whether one specifies certain properties of the approximations---na"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1857","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":"1312.1857","created_at":"2026-05-18T02:57:43.288848+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.1857v1","created_at":"2026-05-18T02:57:43.288848+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1857","created_at":"2026-05-18T02:57:43.288848+00:00"},{"alias_kind":"pith_short_12","alias_value":"UTSLQGV32YLB","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"UTSLQGV32YLB3F6U","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"UTSLQGV3","created_at":"2026-05-18T12:28:02.375192+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/UTSLQGV32YLB3F6UVQJMHBBJ3M","json":"https://pith.science/pith/UTSLQGV32YLB3F6UVQJMHBBJ3M.json","graph_json":"https://pith.science/api/pith-number/UTSLQGV32YLB3F6UVQJMHBBJ3M/graph.json","events_json":"https://pith.science/api/pith-number/UTSLQGV32YLB3F6UVQJMHBBJ3M/events.json","paper":"https://pith.science/paper/UTSLQGV3"},"agent_actions":{"view_html":"https://pith.science/pith/UTSLQGV32YLB3F6UVQJMHBBJ3M","download_json":"https://pith.science/pith/UTSLQGV32YLB3F6UVQJMHBBJ3M.json","view_paper":"https://pith.science/paper/UTSLQGV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.1857&json=true","fetch_graph":"https://pith.science/api/pith-number/UTSLQGV32YLB3F6UVQJMHBBJ3M/graph.json","fetch_events":"https://pith.science/api/pith-number/UTSLQGV32YLB3F6UVQJMHBBJ3M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UTSLQGV32YLB3F6UVQJMHBBJ3M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UTSLQGV32YLB3F6UVQJMHBBJ3M/action/storage_attestation","attest_author":"https://pith.science/pith/UTSLQGV32YLB3F6UVQJMHBBJ3M/action/author_attestation","sign_citation":"https://pith.science/pith/UTSLQGV32YLB3F6UVQJMHBBJ3M/action/citation_signature","submit_replication":"https://pith.science/pith/UTSLQGV32YLB3F6UVQJMHBBJ3M/action/replication_record"}},"created_at":"2026-05-18T02:57:43.288848+00:00","updated_at":"2026-05-18T02:57:43.288848+00:00"}