{"id":"W4392004678","doi":"10.1103/prxquantum.5.010329","title":"Quantum Complexity of the Kronecker Coefficients","year":2024,"lang":"en","type":"article","venue":"PRX Quantum","topic":"Graph theory and applications","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Army Research Office; Office of Science; Ministry of Colleges and Universities; Canadian Institute for Advanced Research; Institut Périmètre de physique théorique; Government of Canada; U.S. Department of Energy","keywords":"Kronecker delta; Quantum; Mathematics; Quantum mechanics; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00287932,0.0005540435,0.001111797,0.00151637,0.00109372,0.003986922,0.00222097,0.001231629,0.004920047],"category_scores_gemma":[0.02421563,0.0006803896,0.0008728897,0.001015712,0.004680883,0.01116122,0.00306635,0.003713588,0.000646747],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001597609,"about_ca_system_score_gemma":0.001358693,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001480681,"about_ca_topic_score_gemma":0.00102463,"domain_scores_codex":[0.9969929,0.0009361259,0.0001750538,0.0005095845,0.0009931792,0.000393035],"domain_scores_gemma":[0.9846957,0.009197913,0.001180944,0.003164724,0.001188641,0.0005720672],"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":[0.0001010822,0.00003141295,0.001431303,0.00009368172,0.00002185028,0.00006794949,0.00019381,0.0213953,0.00137084,0.9655896,0.001445673,0.008257501],"study_design_scores_gemma":[0.00001334903,0.00002189999,0.000514352,0.00003376813,0.000008898714,0.00006257079,0.00005369018,0.113285,0.00112,0.8839648,0.000889384,0.0000323103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6201088,0.001288716,0.3449116,0.003534338,0.0002565648,0.00009203675,0.001209237,0.0004539742,0.02814464],"genre_scores_gemma":[0.9714574,0.0005651815,0.02395407,0.0002116508,0.0002072541,0.0001130612,0.000425394,0.0001021761,0.002963687],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004920047,"threshold_uncertainty_score":0.01645917,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1061481016533311,"score_gpt":0.3433496145485968,"score_spread":0.2372015128952657,"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."}}