{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RD4QLFA24HSMKGX2B23YVAWRYG","short_pith_number":"pith:RD4QLFA2","canonical_record":{"source":{"id":"1106.2526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-13T19:21:20Z","cross_cats_sorted":[],"title_canon_sha256":"d36e241a55825b312c179e5dc521912ec4bf1373a86efa7c2284dbf6393f3c38","abstract_canon_sha256":"66364d707e9e6d048468007b2c168c3fe9db668b16acfb7c37b7481b9fde514b"},"schema_version":"1.0"},"canonical_sha256":"88f905941ae1e4c51afa0eb78a82d1c187b75bdd299128c7a4de4a16b52adb28","source":{"kind":"arxiv","id":"1106.2526","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2526","created_at":"2026-05-18T04:20:05Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2526v1","created_at":"2026-05-18T04:20:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2526","created_at":"2026-05-18T04:20:05Z"},{"alias_kind":"pith_short_12","alias_value":"RD4QLFA24HSM","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RD4QLFA24HSMKGX2","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RD4QLFA2","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RD4QLFA24HSMKGX2B23YVAWRYG","target":"record","payload":{"canonical_record":{"source":{"id":"1106.2526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-13T19:21:20Z","cross_cats_sorted":[],"title_canon_sha256":"d36e241a55825b312c179e5dc521912ec4bf1373a86efa7c2284dbf6393f3c38","abstract_canon_sha256":"66364d707e9e6d048468007b2c168c3fe9db668b16acfb7c37b7481b9fde514b"},"schema_version":"1.0"},"canonical_sha256":"88f905941ae1e4c51afa0eb78a82d1c187b75bdd299128c7a4de4a16b52adb28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:05.664208Z","signature_b64":"mefxbnwK68lRGYPjFCTmpMqp4jVWL2roNATuwubcy91iJHBIt+bTLWdQoYZ4HikjwPDyotcSrfaHzmaVipqACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88f905941ae1e4c51afa0eb78a82d1c187b75bdd299128c7a4de4a16b52adb28","last_reissued_at":"2026-05-18T04:20:05.663792Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:05.663792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.2526","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:20:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q2HZge0F7Qk4O4omtV38eA53NvJvMmJYEfg2FAHcS8oKjlwy8FU8tcnnzp5aGWbD9HSefTIcJ6RCA6thF2OhAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:48:03.027641Z"},"content_sha256":"3099cd1919c889e341423bf6e6fb59d29237884be1fc5ff99f4303bc57475952","schema_version":"1.0","event_id":"sha256:3099cd1919c889e341423bf6e6fb59d29237884be1fc5ff99f4303bc57475952"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RD4QLFA24HSMKGX2B23YVAWRYG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Estimation Theory of Error and Disturbance in Quantum Measurement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Masahito Ueda, Yu Watanabe","submitted_at":"2011-06-13T19:21:20Z","abstract_excerpt":"We formulate the error and disturbance in quantum measurement by invoking quantum estimation theory. The disturbance formulated here characterizes the non-unitary state change caused by the measurement. We prove that the product of the error and disturbance is bounded from below by the commutator of the observables. We also find the attainable bound of the product."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2526","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:20:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jl1fYg53jYiqv91p+8RH4pCG6/Gvd4hh89VWLAcVC3gsI7EnldLiHAXKFgnWpS9YzJRVKdbJUroLi1k0RT8FDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:48:03.028301Z"},"content_sha256":"88b5f8bb4604161a2e197d4d8260cd7d1e73b53ca603fa39856ee9e27e3c9e08","schema_version":"1.0","event_id":"sha256:88b5f8bb4604161a2e197d4d8260cd7d1e73b53ca603fa39856ee9e27e3c9e08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RD4QLFA24HSMKGX2B23YVAWRYG/bundle.json","state_url":"https://pith.science/pith/RD4QLFA24HSMKGX2B23YVAWRYG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RD4QLFA24HSMKGX2B23YVAWRYG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T18:48:03Z","links":{"resolver":"https://pith.science/pith/RD4QLFA24HSMKGX2B23YVAWRYG","bundle":"https://pith.science/pith/RD4QLFA24HSMKGX2B23YVAWRYG/bundle.json","state":"https://pith.science/pith/RD4QLFA24HSMKGX2B23YVAWRYG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RD4QLFA24HSMKGX2B23YVAWRYG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RD4QLFA24HSMKGX2B23YVAWRYG","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":"66364d707e9e6d048468007b2c168c3fe9db668b16acfb7c37b7481b9fde514b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-13T19:21:20Z","title_canon_sha256":"d36e241a55825b312c179e5dc521912ec4bf1373a86efa7c2284dbf6393f3c38"},"schema_version":"1.0","source":{"id":"1106.2526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2526","created_at":"2026-05-18T04:20:05Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2526v1","created_at":"2026-05-18T04:20:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2526","created_at":"2026-05-18T04:20:05Z"},{"alias_kind":"pith_short_12","alias_value":"RD4QLFA24HSM","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RD4QLFA24HSMKGX2","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RD4QLFA2","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:88b5f8bb4604161a2e197d4d8260cd7d1e73b53ca603fa39856ee9e27e3c9e08","target":"graph","created_at":"2026-05-18T04:20:05Z","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 the error and disturbance in quantum measurement by invoking quantum estimation theory. The disturbance formulated here characterizes the non-unitary state change caused by the measurement. We prove that the product of the error and disturbance is bounded from below by the commutator of the observables. We also find the attainable bound of the product.","authors_text":"Masahito Ueda, Yu Watanabe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-13T19:21:20Z","title":"Quantum Estimation Theory of Error and Disturbance in Quantum Measurement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2526","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":"sha256:3099cd1919c889e341423bf6e6fb59d29237884be1fc5ff99f4303bc57475952","target":"record","created_at":"2026-05-18T04:20:05Z","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":"66364d707e9e6d048468007b2c168c3fe9db668b16acfb7c37b7481b9fde514b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-13T19:21:20Z","title_canon_sha256":"d36e241a55825b312c179e5dc521912ec4bf1373a86efa7c2284dbf6393f3c38"},"schema_version":"1.0","source":{"id":"1106.2526","kind":"arxiv","version":1}},"canonical_sha256":"88f905941ae1e4c51afa0eb78a82d1c187b75bdd299128c7a4de4a16b52adb28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88f905941ae1e4c51afa0eb78a82d1c187b75bdd299128c7a4de4a16b52adb28","first_computed_at":"2026-05-18T04:20:05.663792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:05.663792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mefxbnwK68lRGYPjFCTmpMqp4jVWL2roNATuwubcy91iJHBIt+bTLWdQoYZ4HikjwPDyotcSrfaHzmaVipqACg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:05.664208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.2526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3099cd1919c889e341423bf6e6fb59d29237884be1fc5ff99f4303bc57475952","sha256:88b5f8bb4604161a2e197d4d8260cd7d1e73b53ca603fa39856ee9e27e3c9e08"],"state_sha256":"5c3941ce30d10981398e730bc496002fd9c11d4d3617652703f0c4354fa56ff2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yLpIAW66U2uXWjEKB1CcyoCNFXixV1URvfXZuUfRueQq5AXmmCaEsz13T5FHA280Xt9Mcoq5et6dF8z7pO0EBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:48:03.031936Z","bundle_sha256":"f5848a83173d96b10602775379b0a4e3f699aa54f11776eb6802eb02ce8434c8"}}