{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001351449,0.0003532585,0.0004670933,0.0004357934,0.0005016654,0.000883513,0.0007882373,0.000547378,0.001960507],"category_scores_gemma":[0.004802748,0.0002524389,0.0002221146,0.0005295209,0.003079479,0.002620921,0.001458039,0.001293943,0.0001391324],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006205953,"about_ca_system_score_gemma":0.000512007,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003740682,"about_ca_topic_score_gemma":0.0005156241,"domain_scores_codex":[0.9989237,0.0002905799,0.0000377463,0.0002219369,0.0004144211,0.0001116114],"domain_scores_gemma":[0.9952646,0.002173533,0.0008469265,0.001218446,0.0002895524,0.000206995],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002426704,0.00009092073,0.001253775,0.0001352041,0.00002800015,0.0002194851,0.0002521841,0.02650498,0.07356036,0.8809165,0.0002615471,0.01653426],"study_design_scores_gemma":[0.0000607587,0.0005325374,0.002212758,0.00003146848,0.00002638315,0.0003744222,0.000114478,0.4128688,0.07140409,0.5078643,0.004390804,0.0001193982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5224735,0.0007256111,0.4588827,0.0006234814,0.0001575987,0.00004250888,0.00008683711,0.0003482578,0.01665965],"genre_scores_gemma":[0.9711326,0.0001273315,0.02786021,0.00004655871,0.00004561379,0.00001300733,0.00001693353,0.00001653102,0.000741197],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001960507,"threshold_uncertainty_score":0.007147193,"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."}}