{"id":"W1636149824","doi":"10.5555/2016985.2016986","title":"The geometry of quantum computation","year":2008,"lang":"en","type":"article","venue":"CERN Document Server (European Organization for Nuclear Research)","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":108,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Geodesic; Mathematics; Qubit; Hamiltonian (control theory); Unitary state; Quantum computer; Constant curvature; Curvature; Quantum; Geometry; Quantum mechanics; Physics; Mathematical optimization","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":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001046613,0.0001173373,0.000122263,0.0001604309,0.001856126,0.0003414909,0.001520865,0.00003140265,0.00004493036],"category_scores_gemma":[0.0002414223,0.00009113639,0.00006327176,0.001026396,0.0002025208,0.0002830283,0.001009054,0.0002039588,0.0002467975],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006013678,"about_ca_system_score_gemma":0.00002425612,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001457526,"about_ca_topic_score_gemma":2.386398e-7,"domain_scores_codex":[0.9980964,0.0003550761,0.0003064304,0.0003280659,0.0005808647,0.0003331557],"domain_scores_gemma":[0.9985588,0.0001692594,0.0001469398,0.0004962309,0.0005290883,0.00009974907],"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":[0.00003427641,0.000208742,0.000267352,0.00009636716,0.00009002256,0.00003134636,0.003939081,0.009488254,0.0002242347,0.9590921,0.007676341,0.01885185],"study_design_scores_gemma":[0.007619842,0.004371138,0.1276557,0.0004560519,0.0000595688,0.001111453,0.001386842,0.2725219,0.01152925,0.3939384,0.1766914,0.002658575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9799317,0.0001214513,0.01643684,0.002156486,0.0003085729,0.0003614195,8.922387e-7,0.0003417179,0.0003409825],"genre_scores_gemma":[0.9989848,0.00007334105,0.0004060821,0.0000843845,0.00008153742,2.303958e-7,0.00001832014,0.00008867402,0.0002626179],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5651538,"threshold_uncertainty_score":0.9994433,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02331436170167421,"score_gpt":0.2587160433347178,"score_spread":0.2354016816330436,"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."}}