{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:SE225GUEILQ7SGEOSPGDH27AX2","short_pith_number":"pith:SE225GUE","canonical_record":{"source":{"id":"cond-mat/0309685","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-29T20:03:02Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"148d8433b7524bcfde41eebc348de4d0390c9cd2aadc818de4c324f8b93242ea","abstract_canon_sha256":"03d0712d0d134aa064c9a5f8b724f4b2c350015c5c064fbca0b7e4c61127191e"},"schema_version":"1.0"},"canonical_sha256":"9135ae9a8442e1f9188e93cc33ebe0bea74b9f57d9a3d2c3fff876cfebcc46db","source":{"kind":"arxiv","id":"cond-mat/0309685","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0309685","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0309685v1","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0309685","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"SE225GUEILQ7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"SE225GUEILQ7SGEO","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"SE225GUE","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:SE225GUEILQ7SGEOSPGDH27AX2","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0309685","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-29T20:03:02Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"148d8433b7524bcfde41eebc348de4d0390c9cd2aadc818de4c324f8b93242ea","abstract_canon_sha256":"03d0712d0d134aa064c9a5f8b724f4b2c350015c5c064fbca0b7e4c61127191e"},"schema_version":"1.0"},"canonical_sha256":"9135ae9a8442e1f9188e93cc33ebe0bea74b9f57d9a3d2c3fff876cfebcc46db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:29.370931Z","signature_b64":"HEDmvdFqvN/sxHTMyVJcdBnzDQe+GjkyoSKcpXBnB6dHKBMgDnETY2drQW4h/vBQgMalgs5c65AO2Mr1KqNSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9135ae9a8442e1f9188e93cc33ebe0bea74b9f57d9a3d2c3fff876cfebcc46db","last_reissued_at":"2026-05-18T04:39:29.370406Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:29.370406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0309685","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":"2026-05-18T04:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d4MVdzMCib3QUks4d8NOh8k/9SjIyO3DRcSuab9zJTidFFo+TxrRxnsc/N+2Hc4T4f52BCS/O2uoNNrGLqKTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:20:42.539167Z"},"content_sha256":"a0a31981b8a8dcc11ea8332222e184f857420c4ede66ac6a7428adb018c9025d","schema_version":"1.0","event_id":"sha256:a0a31981b8a8dcc11ea8332222e184f857420c4ede66ac6a7428adb018c9025d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:SE225GUEILQ7SGEOSPGDH27AX2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Additivity of decoherence measures for multiqubit quantum systems","license":"","headline":"","cross_cats":["nlin.CD","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Arkady Fedorov, Leonid Fedichkin, Vladimir Privman","submitted_at":"2003-09-29T20:03:02Z","abstract_excerpt":"We introduce new measures of decoherence appropriate for evaluation of quantum computing designs. Environment-induced deviation of a quantum system's evolution from controlled dynamics is quantified by a single numerical measure. This measure is defined as a maximal norm of the density matrix deviation. We establish the property of additivity: in the regime of the onset of decoherence, the sum of the individual qubit error measures provides an estimate of the error for a several-qubit system. This property is illustrated by exact calculations for a spin-boson model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0309685","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":"2026-05-18T04:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lsTKGYdAQz4FHoaUpnsBkvT5xL8wIJr8av7HBQHm1fH0ddhMfbRP4sPM97tYZ4sDuycfpFAHcBRIeV33J7NHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:20:42.539991Z"},"content_sha256":"7798b4153a1f675b986a97bcf7d4a82de2df4c7b841b03123cfd2cee85e7756e","schema_version":"1.0","event_id":"sha256:7798b4153a1f675b986a97bcf7d4a82de2df4c7b841b03123cfd2cee85e7756e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SE225GUEILQ7SGEOSPGDH27AX2/bundle.json","state_url":"https://pith.science/pith/SE225GUEILQ7SGEOSPGDH27AX2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SE225GUEILQ7SGEOSPGDH27AX2/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":"2026-05-31T19:20:42Z","links":{"resolver":"https://pith.science/pith/SE225GUEILQ7SGEOSPGDH27AX2","bundle":"https://pith.science/pith/SE225GUEILQ7SGEOSPGDH27AX2/bundle.json","state":"https://pith.science/pith/SE225GUEILQ7SGEOSPGDH27AX2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SE225GUEILQ7SGEOSPGDH27AX2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:SE225GUEILQ7SGEOSPGDH27AX2","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":"03d0712d0d134aa064c9a5f8b724f4b2c350015c5c064fbca0b7e4c61127191e","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-29T20:03:02Z","title_canon_sha256":"148d8433b7524bcfde41eebc348de4d0390c9cd2aadc818de4c324f8b93242ea"},"schema_version":"1.0","source":{"id":"cond-mat/0309685","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0309685","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0309685v1","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0309685","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"SE225GUEILQ7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"SE225GUEILQ7SGEO","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"SE225GUE","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:7798b4153a1f675b986a97bcf7d4a82de2df4c7b841b03123cfd2cee85e7756e","target":"graph","created_at":"2026-05-18T04:39:29Z","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 introduce new measures of decoherence appropriate for evaluation of quantum computing designs. Environment-induced deviation of a quantum system's evolution from controlled dynamics is quantified by a single numerical measure. This measure is defined as a maximal norm of the density matrix deviation. We establish the property of additivity: in the regime of the onset of decoherence, the sum of the individual qubit error measures provides an estimate of the error for a several-qubit system. This property is illustrated by exact calculations for a spin-boson model.","authors_text":"Arkady Fedorov, Leonid Fedichkin, Vladimir Privman","cross_cats":["nlin.CD","quant-ph"],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-29T20:03:02Z","title":"Additivity of decoherence measures for multiqubit quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0309685","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:a0a31981b8a8dcc11ea8332222e184f857420c4ede66ac6a7428adb018c9025d","target":"record","created_at":"2026-05-18T04:39:29Z","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":"03d0712d0d134aa064c9a5f8b724f4b2c350015c5c064fbca0b7e4c61127191e","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-29T20:03:02Z","title_canon_sha256":"148d8433b7524bcfde41eebc348de4d0390c9cd2aadc818de4c324f8b93242ea"},"schema_version":"1.0","source":{"id":"cond-mat/0309685","kind":"arxiv","version":1}},"canonical_sha256":"9135ae9a8442e1f9188e93cc33ebe0bea74b9f57d9a3d2c3fff876cfebcc46db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9135ae9a8442e1f9188e93cc33ebe0bea74b9f57d9a3d2c3fff876cfebcc46db","first_computed_at":"2026-05-18T04:39:29.370406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:29.370406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HEDmvdFqvN/sxHTMyVJcdBnzDQe+GjkyoSKcpXBnB6dHKBMgDnETY2drQW4h/vBQgMalgs5c65AO2Mr1KqNSDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:29.370931Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0309685","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0a31981b8a8dcc11ea8332222e184f857420c4ede66ac6a7428adb018c9025d","sha256:7798b4153a1f675b986a97bcf7d4a82de2df4c7b841b03123cfd2cee85e7756e"],"state_sha256":"09d45fcaa9492acdbc70d91572827db3526bd0025c854702dd5d7271416bb869"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uYpP/ZjZCIn4h85bpj4vPq7HLy2d9WQYtwWe9coJSF6QQFz48VtSCn/xx504xfHZfr4Pwjju6bFDcxV8DDbuBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:20:42.543502Z","bundle_sha256":"5313e757d08d7219d02db9f1483039fa472e97b2a81620d5e7e078ce6b3a91f3"}}