{"id":"W4413342590","doi":"10.1103/ltz3-163t","title":"Higher-order corrections to the quantum Cramér-Rao bound","year":2025,"lang":"en","type":"article","venue":"Physical review. A/Physical review, A","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"National Research Council Canada","funders":"QuantERA; Kavli Institute for Theoretical Physics, University of California, Santa Barbara; Agencia Estatal de Investigación; Univerzita Palackého v Olomouci; National Science Foundation","keywords":"Order (exchange); Cramér–Rao bound; Quantum; Mathematics; Upper and lower bounds; Physics; Statistical physics; Statistics; Quantum mechanics; Mathematical analysis; Economics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.01049418,0.002321407,0.001989744,0.002381731,0.002192493,0.003628837,0.003580919,0.002409528,0.013281],"category_scores_gemma":[0.06967422,0.001108676,0.001554531,0.002660075,0.007599444,0.008782504,0.004266172,0.00987937,0.003229569],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003648671,"about_ca_system_score_gemma":0.00300205,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005218527,"about_ca_topic_score_gemma":0.005763402,"domain_scores_codex":[0.9888229,0.002974264,0.0004891125,0.00161345,0.005238438,0.0008618125],"domain_scores_gemma":[0.9572612,0.02956654,0.001978668,0.008064276,0.002638724,0.0004907595],"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":[0.00006208116,0.00003507264,0.0004828594,0.0001263226,0.00002644353,0.0001761965,0.0001867889,0.02624437,0.001588933,0.9558789,0.002667017,0.01252497],"study_design_scores_gemma":[0.00001369831,0.00003490807,0.0005774989,0.0001187818,0.00001872492,0.0002372273,0.00005639793,0.2024255,0.002494638,0.7868841,0.007050754,0.00008790329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01724742,0.001805728,0.9359235,0.002526331,0.0006108028,0.00008752406,0.0003336343,0.0008044572,0.04066066],"genre_scores_gemma":[0.5518486,0.005669047,0.4046371,0.003293278,0.00139889,0.0006582763,0.0005663467,0.002026055,0.02990246],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.013281,"threshold_uncertainty_score":0.05549926,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01541672240763876,"score_gpt":0.3593540953178807,"score_spread":0.343937372910242,"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."}}