{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:2XFOWSORWEJUK6XVEWECYAAMLR","short_pith_number":"pith:2XFOWSOR","schema_version":"1.0","canonical_sha256":"d5caeb49d1b113457af525882c000c5c6155f693792e18a78fa4279d620db78b","source":{"kind":"arxiv","id":"quant-ph/0511059","version":1},"attestation_state":"computed","paper":{"title":"Phase Sensitivity of a Mach-Zehnder Interferometer","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Augusto Smerzi, Luca Pezze'","submitted_at":"2005-11-07T16:28:21Z","abstract_excerpt":"The best performance of a Mach-Zehnder interferometer is achieved with the input state |N_T/2 + 1>|N_T/2-1 > + |N_T/2 - 1>|N_T/2+1>, being N_T the total number of atoms/photons. This gives: i) a phase-shift error confidence C_{68%}=2.67/N_T with ii) a single interferometric measurement. Different input quantum states can achieve the Heisenberg scaling ~ 1/N_T but with higher prefactors and at the price of a statistical analysis of two or more independent measurements."},"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":"quant-ph/0511059","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-11-07T16:28:21Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"b6f97447d29429162b4cfcbf4664ef138113671722a5d8852cbb2a23222f28e0","abstract_canon_sha256":"6cd6e2840f074b72ab5b2991d79fe64edf4d5f6ae488ec87dbd1ba7327b10f57"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:58:12.120528Z","signature_b64":"gc7wqTvowGZWCo3JWCTshw6WHVKliz/msMTg7Idnys6z64yBQOGVwvbTVKDIi8YBnvVFyNz3abVzhMFHD1h8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5caeb49d1b113457af525882c000c5c6155f693792e18a78fa4279d620db78b","last_reissued_at":"2026-07-04T16:58:12.120185Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:58:12.120185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase Sensitivity of a Mach-Zehnder Interferometer","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Augusto Smerzi, Luca Pezze'","submitted_at":"2005-11-07T16:28:21Z","abstract_excerpt":"The best performance of a Mach-Zehnder interferometer is achieved with the input state |N_T/2 + 1>|N_T/2-1 > + |N_T/2 - 1>|N_T/2+1>, being N_T the total number of atoms/photons. This gives: i) a phase-shift error confidence C_{68%}=2.67/N_T with ii) a single interferometric measurement. Different input quantum states can achieve the Heisenberg scaling ~ 1/N_T but with higher prefactors and at the price of a statistical analysis of two or more independent measurements."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0511059","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0511059/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"quant-ph/0511059","created_at":"2026-07-04T16:58:12.120239+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0511059v1","created_at":"2026-07-04T16:58:12.120239+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0511059","created_at":"2026-07-04T16:58:12.120239+00:00"},{"alias_kind":"pith_short_12","alias_value":"2XFOWSORWEJU","created_at":"2026-07-04T16:58:12.120239+00:00"},{"alias_kind":"pith_short_16","alias_value":"2XFOWSORWEJUK6XV","created_at":"2026-07-04T16:58:12.120239+00:00"},{"alias_kind":"pith_short_8","alias_value":"2XFOWSOR","created_at":"2026-07-04T16:58:12.120239+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.13181","citing_title":"Searching for axions with quantum interferometry","ref_index":71,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2XFOWSORWEJUK6XVEWECYAAMLR","json":"https://pith.science/pith/2XFOWSORWEJUK6XVEWECYAAMLR.json","graph_json":"https://pith.science/api/pith-number/2XFOWSORWEJUK6XVEWECYAAMLR/graph.json","events_json":"https://pith.science/api/pith-number/2XFOWSORWEJUK6XVEWECYAAMLR/events.json","paper":"https://pith.science/paper/2XFOWSOR"},"agent_actions":{"view_html":"https://pith.science/pith/2XFOWSORWEJUK6XVEWECYAAMLR","download_json":"https://pith.science/pith/2XFOWSORWEJUK6XVEWECYAAMLR.json","view_paper":"https://pith.science/paper/2XFOWSOR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0511059&json=true","fetch_graph":"https://pith.science/api/pith-number/2XFOWSORWEJUK6XVEWECYAAMLR/graph.json","fetch_events":"https://pith.science/api/pith-number/2XFOWSORWEJUK6XVEWECYAAMLR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2XFOWSORWEJUK6XVEWECYAAMLR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2XFOWSORWEJUK6XVEWECYAAMLR/action/storage_attestation","attest_author":"https://pith.science/pith/2XFOWSORWEJUK6XVEWECYAAMLR/action/author_attestation","sign_citation":"https://pith.science/pith/2XFOWSORWEJUK6XVEWECYAAMLR/action/citation_signature","submit_replication":"https://pith.science/pith/2XFOWSORWEJUK6XVEWECYAAMLR/action/replication_record"}},"created_at":"2026-07-04T16:58:12.120239+00:00","updated_at":"2026-07-04T16:58:12.120239+00:00"}