{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HH3KMRTDKOITIFW4AFQP3KWIOD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"15a0cd6cc5895cd3b5209db8e27ed737cf4cbe3b7fe0d0fccb2bfddd92f77fce","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-05-10T10:28:38Z","title_canon_sha256":"200472f79545d28c746ec3da518333e1ca35ee1a2e7be9632075189c3d94767c"},"schema_version":"1.0","source":{"id":"1805.03919","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.03919","created_at":"2026-05-18T00:16:15Z"},{"alias_kind":"arxiv_version","alias_value":"1805.03919v1","created_at":"2026-05-18T00:16:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.03919","created_at":"2026-05-18T00:16:15Z"},{"alias_kind":"pith_short_12","alias_value":"HH3KMRTDKOIT","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HH3KMRTDKOITIFW4","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HH3KMRTD","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:90a6867ce174f3849d1ab8c547dbae2cd1e8c9874740826127995edeb4db337e","target":"graph","created_at":"2026-05-18T00:16:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We formulate entropic measurements uncertainty relations (MURs) for a spin-1/2 system. When incompatible observables are approximatively jointly measured, we use relative entropy to quantify the information lost in approximation and we prove positive lower bounds for such a loss: there is an unavoidable information loss. Firstly we allow only for covariant approximate joint measurements and we find state-dependent MURs for two or three orthogonal spin-1/2 components. Secondly we consider any possible approximate joint measurement and we find state-independent MURs for two or three spin-1/2 com","authors_text":"Alberto Barchielli, Matteo Gregoratti","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-05-10T10:28:38Z","title":"Uncertainty relations and information loss for spin-1/2 measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.03919","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:65330e1099d3e7b4c0b28feb7f1ef85b199d31467e028c0fe86a9b2182bb0e82","target":"record","created_at":"2026-05-18T00:16:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"15a0cd6cc5895cd3b5209db8e27ed737cf4cbe3b7fe0d0fccb2bfddd92f77fce","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-05-10T10:28:38Z","title_canon_sha256":"200472f79545d28c746ec3da518333e1ca35ee1a2e7be9632075189c3d94767c"},"schema_version":"1.0","source":{"id":"1805.03919","kind":"arxiv","version":1}},"canonical_sha256":"39f6a6466353913416dc0160fdaac870cd80e3f02ffeb669a3aa6634f8ec3d4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39f6a6466353913416dc0160fdaac870cd80e3f02ffeb669a3aa6634f8ec3d4d","first_computed_at":"2026-05-18T00:16:15.764885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:15.764885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R7s9vmF0POHHV0H+hp66QjS6ZPcPD5sQQxmTg0q7IH7kiWPJ7faMBgWJK3OqukWdvQPIdOnotOdgh329NHoTCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:15.765627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.03919","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65330e1099d3e7b4c0b28feb7f1ef85b199d31467e028c0fe86a9b2182bb0e82","sha256:90a6867ce174f3849d1ab8c547dbae2cd1e8c9874740826127995edeb4db337e"],"state_sha256":"e5e60c5f4abf899b40d303ee8f38095a77374bfdc20df9e41abbcac20d09073c"}