{"id":"W3102596210","doi":"","title":"Braiding Operators are Universal Quantum Gates","year":2004,"lang":"en","type":"article","venue":"","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":201,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"U.S. Air Force; University of Waterloo; Defense Advanced Research Projects Agency; National Institute of Standards and Technology; Air Force Materiel Command; Institut Périmètre de physique théorique; Air Force Research Laboratory; National Science Foundation","keywords":"Physics; Quantum network; Quantum entanglement; Quantum gate; Quantum algorithm; Quantum computer; Theoretical physics; Unitary state; Quantum mechanics; Quantum teleportation; Topology (electrical circuits); Quantum; Mathematics; 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":[],"consensus_categories":[],"category_scores_codex":[0.00005887222,0.0001215821,0.0001586371,0.00003777895,0.0001111079,0.00004063498,0.0001570938,0.00007244524,0.0002057439],"category_scores_gemma":[0.00007934936,0.00009650577,0.00006099943,0.0001115763,0.00002762919,0.0001196086,0.00005767824,0.00009323266,0.00002570182],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006961459,"about_ca_system_score_gemma":0.00004543375,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006985392,"about_ca_topic_score_gemma":0.00001591174,"domain_scores_codex":[0.9993439,0.00001381709,0.0001354529,0.0001637572,0.0001513825,0.0001916682],"domain_scores_gemma":[0.9995819,0.00006248141,0.00005071705,0.0001891307,0.00004381352,0.00007194508],"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":[0.000005139223,0.00001954329,0.0001200847,0.000009914043,0.0000167805,0.000007994136,0.0002382521,0.00003936094,0.0001238041,0.9990087,0.0003743321,0.00003611099],"study_design_scores_gemma":[0.0005744806,0.00003380165,0.0000981816,0.00002847469,0.00001287773,0.000005762337,0.0009615517,0.0000601079,0.004825372,0.9929467,0.0003035318,0.0001490936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9926969,0.00003037987,0.002405739,0.000507529,0.0005361201,0.0001007648,0.000001017332,0.000169028,0.00355255],"genre_scores_gemma":[0.9981306,0.000004916495,0.001277863,0.0001070786,0.0001164979,0.000002091832,6.464026e-7,0.00001993462,0.0003403617],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006061919,"threshold_uncertainty_score":0.3935391,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03124139354381023,"score_gpt":0.2740648424340646,"score_spread":0.2428234488902544,"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."}}