{"id":"W4416145554","doi":"10.48550/arxiv.2510.13980","title":"Sequential Quantum Measurements and the Instrumental Group Algebra","year":2025,"lang":"","type":"preprint","venue":"ArXiv.org","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Government of Canada; Ministry of Colleges and Universities; Innovation, Science and Economic Development Canada","keywords":"Convolution (computer science); Observable; Group (periodic table); Algebra over a field; Von Neumann architecture; Banach algebra; Class (philosophy); Sequence (biology); POVM","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002524716,0.0003763881,0.0004733701,0.0008930205,0.001492502,0.002503478,0.001042004,0.001046443,0.006967526],"category_scores_gemma":[0.003663466,0.0003129605,0.0008789581,0.0008566256,0.006411477,0.00576906,0.002752649,0.002728762,0.0009596431],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001800599,"about_ca_system_score_gemma":0.001873457,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001719918,"about_ca_topic_score_gemma":0.001024958,"domain_scores_codex":[0.9974734,0.0007561824,0.0001306259,0.0005157373,0.0008090988,0.0003149136],"domain_scores_gemma":[0.9983723,0.0004754229,0.000236247,0.0003530552,0.0003986293,0.0001645155],"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":[0.000003571893,0.000003927719,0.00003343216,0.000004674114,0.000001503705,0.00001043698,0.0000630784,0.0002467119,0.0001129956,0.9981297,0.0001471873,0.001242817],"study_design_scores_gemma":[0.00000484336,0.00001134557,0.00005248714,0.000006511887,0.000001889057,0.00002411457,0.00003390793,0.003604254,0.0001869174,0.9924772,0.003590158,0.000006260916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0907512,0.001650515,0.6890159,0.003874912,0.0005162811,0.0001560649,0.0004228743,0.0003723718,0.21324],"genre_scores_gemma":[0.8290911,0.001318043,0.1294588,0.001240452,0.0006524291,0.0002680954,0.0002906834,0.0001181972,0.0375622],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006967526,"threshold_uncertainty_score":0.02330863,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05187537760830608,"score_gpt":0.2782606702483477,"score_spread":0.2263852926400416,"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."}}