{"id":"W7116689281","doi":"10.1063/5.0209725","title":"Rounding near-optimal quantum strategies for nonlocal games to strategies using a maximally entangled state","year":2025,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Hilbert space; Quantum; Quantum operation; Quantum algorithm; POVM; Quantum state; Quantum pseudo-telepathy; Class (philosophy); Rigidity (electromagnetism)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000304994,0.0001988094,0.000440016,0.00006501129,0.0001832829,0.0005010918,0.0002661241,0.00003261759,0.00003640779],"category_scores_gemma":[0.00001379499,0.0001673613,0.0002658573,0.0002590324,0.00005071671,0.0003904153,0.00006162678,0.0002065107,0.000009916682],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005311682,"about_ca_system_score_gemma":0.000536424,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000081634,"about_ca_topic_score_gemma":5.257024e-7,"domain_scores_codex":[0.9986637,0.00002581541,0.0006121498,0.0001593348,0.000232936,0.0003061081],"domain_scores_gemma":[0.9989108,0.0002159385,0.0003040653,0.0001821576,0.0002688588,0.0001181798],"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":[0.00005315161,0.0003115328,0.000009309451,0.00008727841,0.0001443651,0.000001325996,0.0004320364,0.005188335,0.005496283,0.9851447,0.0002185897,0.002913131],"study_design_scores_gemma":[0.0004066592,0.0001258061,0.000007445067,0.000183058,0.00009775587,0.000002581377,0.003226561,0.1897058,0.001242827,0.8044479,0.0004146297,0.0001389697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3122121,0.00001026782,0.6867296,0.0001888488,0.00008357687,0.0002199702,0.00002087096,0.000009094438,0.0005257826],"genre_scores_gemma":[0.9485403,0.000001120639,0.05107834,0.00005147748,0.0002415028,0.00002204375,0.00000289424,0.00002291915,0.00003942801],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6363282,"threshold_uncertainty_score":0.6824797,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02780316782030607,"score_gpt":0.3227994462315621,"score_spread":0.294996278411256,"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."}}