{"id":"W3196116948","doi":"10.1007/s00023-023-01357-3","title":"De Finetti Theorems for Quantum Conditional Probability Distributions with Symmetry","year":2023,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Air Force Office of Scientific Research; National Center of Competence in Research Quantum Science and Technology; QuantERA","keywords":"Conditional probability; Probability distribution; Conditional probability distribution; Set (abstract data type); Quantum; Mathematics; Key (lock); Quantum key distribution; Computer science; Statistical physics; Discrete mathematics; Pure mathematics; Mathematical economics; Physics; Quantum mechanics; Econometrics","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":[0.01056375,0.0009150181,0.001138146,0.002534123,0.001501284,0.003021357,0.001949423,0.001621152,0.005561287],"category_scores_gemma":[0.02177045,0.0006508845,0.002401497,0.001186236,0.00649835,0.006602752,0.003082934,0.005330675,0.00086457],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003715967,"about_ca_system_score_gemma":0.001374776,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001070317,"about_ca_topic_score_gemma":0.0004177048,"domain_scores_codex":[0.9949307,0.001780534,0.0002246909,0.000770791,0.001607783,0.0006855769],"domain_scores_gemma":[0.9794646,0.01453912,0.001491551,0.001921754,0.0018796,0.0007033599],"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":[0.000006855588,0.000006478329,0.00008501043,0.000009462552,0.000004784918,0.00002060661,0.00003358441,0.003289431,0.0001597071,0.9951437,0.0004579378,0.0007824383],"study_design_scores_gemma":[0.00001108812,0.00001241775,0.0001301659,0.00001281481,0.000003111905,0.00005324923,0.00001638659,0.05258484,0.0004337137,0.9456959,0.001032361,0.00001410978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05240476,0.0005656358,0.8980815,0.002693502,0.0001944462,0.0001105397,0.0004363044,0.0001813937,0.0453319],"genre_scores_gemma":[0.9111799,0.0009132925,0.07286788,0.001204632,0.0005793537,0.0004847736,0.000379485,0.0002312543,0.01215945],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01056375,"threshold_uncertainty_score":0.05586708,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0207667950466242,"score_gpt":0.2608810552330306,"score_spread":0.2401142601864064,"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."}}