{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001746468,0.0008580756,0.001051497,0.0007556479,0.0009947313,0.001909204,0.00111899,0.001096532,0.006065419],"category_scores_gemma":[0.01014774,0.0004436608,0.0009447046,0.0006017585,0.003197849,0.004186729,0.002852494,0.00224558,0.0006065808],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0016127,"about_ca_system_score_gemma":0.001564515,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001113809,"about_ca_topic_score_gemma":0.00135139,"domain_scores_codex":[0.9976279,0.0008209146,0.0001662793,0.0004599164,0.0006325592,0.0002924555],"domain_scores_gemma":[0.9956513,0.002327383,0.0006623778,0.0006762948,0.0003625791,0.0003200012],"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":[0.00008754777,0.00005686149,0.0003770886,0.00008815241,0.00003000302,0.00008579142,0.0002493476,0.06641649,0.002861685,0.9197076,0.0004048803,0.009634567],"study_design_scores_gemma":[0.00002017245,0.0000704404,0.0002212749,0.00002346213,0.00001247649,0.00004846443,0.0001235653,0.2804737,0.002788275,0.7153324,0.0008549735,0.00003071815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1700947,0.0001404832,0.8137746,0.0005374986,0.00005362505,0.0001336102,0.0001379491,0.0002103492,0.01491722],"genre_scores_gemma":[0.9048551,0.0001703676,0.08944619,0.0002003115,0.00003818363,0.0002099517,0.0001304625,0.00008584905,0.004863571],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006065419,"threshold_uncertainty_score":0.02029085,"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."}}