{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"f20a040a63a0be9464952a34edfdaa1e9cc25b5a298597ea8d159c3cea7f1818","created":"2026-10-03T07:17:54Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"e8531d6fa7a0374f5618d15849b0e985b16bdfe701e27354b8a2412e31244e0b","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"amo.noisy-quantum-metrology.correlated-noise-scaling","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"Real noise often hits all atoms together or has memory in time. How the best achievable precision then scales with particle number and time is known only in special cases.","posed_since":"","precise":"For $N$ qubits sensing a phase under dephasing with spatial correlation function $C(r)$ and temporal spectrum $S(\\omega)$, including the non-Markovian Zeno regime, classify the asymptotic scaling exponent of the minimal estimation error with $N$ and total time $T$, and identify the states and measurements attaining it.","problem_ref":null,"references":"","settled_by":"Bounds and attaining protocols covering the main classes of correlated noise, with matching exponents.","status_note":"","title":"Precision scaling under spatially correlated and non-Markovian dephasing","topic_ref":"b95a8ff18c070433c3fe82a6890e1ebb1ad0aa64cad14ab4a8806dfeb3a86077"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"e829b832b562f45988e911362ac42dbc9304bb0926bfe49c470e7b8f90251918","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"94539274d6afc74e9caef6471bc65b36963511e9d7bbdaedf0d83ef4ace2009c","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"JqXEEAa47tNS5XQV2Eap6AvorjcIMEdqdxZ3vL-oasWU3iWsIhWt6FosEvAF9YGhsHQNxPFe0ynMntgEW_A5BA"},"schema":"pubphys.envelope/1"},"record_hash":"e829b832b562f45988e911362ac42dbc9304bb0926bfe49c470e7b8f90251918","leaf_index":434}