{"id":"W4391871600","doi":"10.48550/arxiv.2402.09335","title":"Efficient Unitary T-designs from Random Sums","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Air Force Office of Scientific Research; Canadian Institute for Advanced Research; U.S. Department of Energy; Office of Science; National Science Foundation","keywords":"Unitary state; Mathematics; Arithmetic; Combinatorics; Computer science; Discrete mathematics; Algebra over a field; Pure mathematics; Political science; Law","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002286112,0.000420585,0.0004517244,0.0003019703,0.0000787901,0.000066815,0.0005644099,0.0004005821,0.0001804574],"category_scores_gemma":[0.000009428073,0.0004702582,0.0003570198,0.0004146043,0.00008437876,0.00002781993,0.0004691371,0.0009121603,0.0007088087],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001746155,"about_ca_system_score_gemma":0.00004909129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002225186,"about_ca_topic_score_gemma":0.0000388515,"domain_scores_codex":[0.9985385,0.0001466238,0.0002306684,0.0006629993,0.00007708395,0.0003441174],"domain_scores_gemma":[0.9988,0.00016711,0.00005016789,0.0007708967,0.00004101214,0.0001707906],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00006735938,0.00002634104,0.0001162495,0.0002594013,0.0004174249,0.0005275499,0.0003547716,0.9722047,0.0003310123,0.02476302,0.0008592875,0.0000728751],"study_design_scores_gemma":[0.000963651,0.00001942287,0.0001271651,0.0004796939,0.0004307276,0.000003762355,0.0004722054,0.8952865,0.0004279836,0.1000851,0.0009419998,0.0007617752],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9591364,0.001361567,0.02250324,0.000009430467,0.003078685,0.0003766759,0.0002295167,0.001065022,0.01223949],"genre_scores_gemma":[0.9984982,0.0001061255,0.00002577044,0.00001288121,0.0001999635,0.000002253774,0.00008173079,0.00007498301,0.0009981069],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07691818,"threshold_uncertainty_score":0.9997749,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04622874212836593,"score_gpt":0.1548439532685266,"score_spread":0.1086152111401607,"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."}}