{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:C5JC3LTG6FMC2ZS3CUA64HKQIB","short_pith_number":"pith:C5JC3LTG","schema_version":"1.0","canonical_sha256":"17522dae66f1582d665b1501ee1d50405a55a2abbcba5697334bb59e690ce5a1","source":{"kind":"arxiv","id":"1612.05237","version":2},"attestation_state":"computed","paper":{"title":"Nonlinear quantum metrology of many-body open systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Adolfo del Campo, Mathieu Beau","submitted_at":"2016-12-15T20:49:30Z","abstract_excerpt":"We introduce general bounds for the parameter estimation error in nonlinear quantum metrology of many-body open systems in the Markovian limit. Given a $k$-body Hamiltonian and $p$-body Lindblad operators, the estimation error of a Hamitonian parameter using a Greenberger-Horne-Zeilinger (GHZ) state as a probe is shown to scale as $N^{-\\left(k-\\frac{p}{2}\\right)}$, surpassing the shot-noise limit for $2k>p+1$. Metrology equivalence between initial product states and maximally entangled states is established for $p\\geq 1$. We further show that one can estimate the system-environment coupling pa"},"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":"1612.05237","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-15T20:49:30Z","cross_cats_sorted":[],"title_canon_sha256":"5c5503984359f8c8379627d12f641df6169ce76a7805f2f4ef499118aa017393","abstract_canon_sha256":"ec09d34974752a1ef9f8d1bf63b531e3fe3ea089f36caf2e5e91684e7ccf0160"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:24.079862Z","signature_b64":"m2zuASk6MjTmdcJArZ+31GB4JH0TaWRxdFQua3yg7SQlAW1wAKSGblxJiu5BcQV4yhfdLqW3fkihOo5BHPf2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17522dae66f1582d665b1501ee1d50405a55a2abbcba5697334bb59e690ce5a1","last_reissued_at":"2026-05-18T00:40:24.079149Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:24.079149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear quantum metrology of many-body open systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Adolfo del Campo, Mathieu Beau","submitted_at":"2016-12-15T20:49:30Z","abstract_excerpt":"We introduce general bounds for the parameter estimation error in nonlinear quantum metrology of many-body open systems in the Markovian limit. Given a $k$-body Hamiltonian and $p$-body Lindblad operators, the estimation error of a Hamitonian parameter using a Greenberger-Horne-Zeilinger (GHZ) state as a probe is shown to scale as $N^{-\\left(k-\\frac{p}{2}\\right)}$, surpassing the shot-noise limit for $2k>p+1$. Metrology equivalence between initial product states and maximally entangled states is established for $p\\geq 1$. We further show that one can estimate the system-environment coupling pa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05237","kind":"arxiv","version":2},"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":"1612.05237","created_at":"2026-05-18T00:40:24.079252+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.05237v2","created_at":"2026-05-18T00:40:24.079252+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05237","created_at":"2026-05-18T00:40:24.079252+00:00"},{"alias_kind":"pith_short_12","alias_value":"C5JC3LTG6FMC","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"C5JC3LTG6FMC2ZS3","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"C5JC3LTG","created_at":"2026-05-18T12:30:09.641336+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/C5JC3LTG6FMC2ZS3CUA64HKQIB","json":"https://pith.science/pith/C5JC3LTG6FMC2ZS3CUA64HKQIB.json","graph_json":"https://pith.science/api/pith-number/C5JC3LTG6FMC2ZS3CUA64HKQIB/graph.json","events_json":"https://pith.science/api/pith-number/C5JC3LTG6FMC2ZS3CUA64HKQIB/events.json","paper":"https://pith.science/paper/C5JC3LTG"},"agent_actions":{"view_html":"https://pith.science/pith/C5JC3LTG6FMC2ZS3CUA64HKQIB","download_json":"https://pith.science/pith/C5JC3LTG6FMC2ZS3CUA64HKQIB.json","view_paper":"https://pith.science/paper/C5JC3LTG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.05237&json=true","fetch_graph":"https://pith.science/api/pith-number/C5JC3LTG6FMC2ZS3CUA64HKQIB/graph.json","fetch_events":"https://pith.science/api/pith-number/C5JC3LTG6FMC2ZS3CUA64HKQIB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C5JC3LTG6FMC2ZS3CUA64HKQIB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C5JC3LTG6FMC2ZS3CUA64HKQIB/action/storage_attestation","attest_author":"https://pith.science/pith/C5JC3LTG6FMC2ZS3CUA64HKQIB/action/author_attestation","sign_citation":"https://pith.science/pith/C5JC3LTG6FMC2ZS3CUA64HKQIB/action/citation_signature","submit_replication":"https://pith.science/pith/C5JC3LTG6FMC2ZS3CUA64HKQIB/action/replication_record"}},"created_at":"2026-05-18T00:40:24.079252+00:00","updated_at":"2026-05-18T00:40:24.079252+00:00"}