{"id":"W4401792352","doi":"10.1007/s00220-024-05050-2","title":"Characterising Semi-Clifford Gates Using Algebraic Sets","year":2024,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Complex system; Algebraic number; Algebra over a field; Clifford algebra; Mathematics; Clifford analysis; Pure mathematics; Computer science; Mathematical analysis; Artificial intelligence; Dirac operator","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0002150637,0.0001568442,0.0002084768,0.00005721489,0.0001898193,0.0001687411,0.0005720668,0.00003830785,0.0001650842],"category_scores_gemma":[0.000009452692,0.0001524504,0.0001051881,0.0004378883,0.00009421552,0.0002048771,0.000293507,0.0003367318,0.0002728397],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004446045,"about_ca_system_score_gemma":0.00005543403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001515542,"about_ca_topic_score_gemma":5.752489e-7,"domain_scores_codex":[0.9990334,0.00005166634,0.0003638837,0.0002090735,0.000116446,0.0002255281],"domain_scores_gemma":[0.9983706,0.0003238021,0.00006101903,0.001148035,0.00003902027,0.00005751567],"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":[4.265443e-7,0.0002002813,0.0001103878,0.00004503905,0.00002335243,2.863646e-7,0.0003186433,0.00001455006,0.001720996,0.9894915,0.00003586884,0.008038634],"study_design_scores_gemma":[0.00004753022,0.000003257446,0.00003257002,0.0001988411,0.00002098229,9.619438e-7,0.0001257525,0.3101527,0.0003723628,0.6880494,0.0008760965,0.0001194758],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2919965,0.0005496538,0.6861349,0.001710573,0.0001383301,0.000676831,0.0001024624,0.0002432614,0.01844739],"genre_scores_gemma":[0.9888932,0.00002086295,0.01068589,0.00003735036,0.00009703068,0.00009829047,0.00008649207,0.00003707152,0.00004383073],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6968966,"threshold_uncertainty_score":0.6216747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06737974790338397,"score_gpt":0.3565099615411854,"score_spread":0.2891302136378014,"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."}}