{"id":"W2993427844","doi":"10.1103/physrevlett.124.190503","title":"Quantum Metrology with Indefinite Causal Order","year":2020,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Noncommutative and Quantum Gravity Theories","field":"Physics and Astronomy","cited_by":137,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"National Center of Competence in Research Quantum Science and Technology; Ontario Ministry of Research, Innovation and Science; National Natural Science Foundation of China; Croucher Foundation; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Innovation, Science and Economic Development Canada; John Templeton Foundation","keywords":"Superposition principle; Square root; Heisenberg limit; Quadratic equation; Quantum; Metrology; Quantum superposition; Uncertainty principle; Quantum metrology; Scaling; Physics; Limit (mathematics); Order (exchange); Square (algebra); Mathematics; Quantum mechanics; Statistical physics; Quantum information; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007681351,0.0002067213,0.0004878537,0.00001475458,0.00007257138,0.00002016599,0.0001810408,0.000005164863,0.0001965504],"category_scores_gemma":[0.00001670962,0.0001456252,0.0001209795,0.0003688118,0.0001597825,0.0001124454,0.00005849537,0.0002818088,0.0003260811],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006843449,"about_ca_system_score_gemma":0.00002646156,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000351335,"about_ca_topic_score_gemma":5.48856e-7,"domain_scores_codex":[0.9989852,0.0001575173,0.0001677763,0.0002601301,0.0001643023,0.0002651106],"domain_scores_gemma":[0.9993634,0.0001700545,0.0001032323,0.0001866101,0.00004622584,0.0001304383],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001857461,0.000479538,0.02841402,0.001015411,0.0007840679,0.00004131067,0.001880683,0.0001456928,0.01134217,0.9269925,0.01963626,0.00908255],"study_design_scores_gemma":[0.009741865,0.005537682,0.01395758,0.004219944,0.003936965,0.00001909772,0.001443191,0.01015573,0.008015038,0.1628763,0.7733302,0.006766491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8861984,0.001691949,0.03388715,0.07434776,0.00007367716,0.0005247801,0.0000663732,0.00009450559,0.003115429],"genre_scores_gemma":[0.9580803,0.00004957896,0.0002469328,0.04115147,0.0003603851,0.00004296824,0.00004175,0.00002277863,0.000003840436],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7641163,"threshold_uncertainty_score":0.5938423,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02271471239394009,"score_gpt":0.2944432548389398,"score_spread":0.2717285424449998,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}