{"id":"W3101372095","doi":"","title":"Weighted complex projective 2-designs from bases: optimal state determination by orthogonal measurements","year":2007,"lang":"en","type":"article","venue":"CERN Document Server (European Organization for Nuclear Research)","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":72,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Orthonormal basis; Mutually unbiased bases; Mathematics; Abelian group; Dimension (graph theory); Prime (order theory); Projective test; Basis (linear algebra); Prime power; State (computer science); Discrete mathematics; Combinatorics; Pure mathematics; Algorithm; Hilbert space","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002497765,0.0007855596,0.0008475565,0.0009040961,0.0008206731,0.001423441,0.000720565,0.0009979431,0.00306082],"category_scores_gemma":[0.006095788,0.0007042798,0.0006748619,0.0009802114,0.001882412,0.002386044,0.002410749,0.0009759895,0.0007928911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000595491,"about_ca_system_score_gemma":0.0005666842,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002126303,"about_ca_topic_score_gemma":0.0002373973,"domain_scores_codex":[0.9971049,0.001436214,0.0001613911,0.0004973435,0.0005223703,0.000277617],"domain_scores_gemma":[0.9976572,0.0009820048,0.0004057563,0.0006042212,0.0002257218,0.0001250623],"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":[0.0003928,0.00006815849,0.0009889698,0.0001553527,0.00005820904,0.0001736259,0.0002889236,0.04461687,0.01651758,0.8649533,0.00117579,0.07061035],"study_design_scores_gemma":[0.0001400805,0.0004980142,0.0007105282,0.00009715424,0.00005209484,0.000355589,0.0001694494,0.1786215,0.02939091,0.7783192,0.01153087,0.0001146448],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1268472,0.0003564605,0.8640869,0.0002011677,0.00005839615,0.0001015182,0.0001982641,0.0002116978,0.007938382],"genre_scores_gemma":[0.6128196,0.0004126439,0.3803107,0.0002204151,0.00008568649,0.0005048987,0.0003570216,0.0001457704,0.005143284],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00306082,"threshold_uncertainty_score":0.01320958,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04871629245866747,"score_gpt":0.2702320760458275,"score_spread":0.22151578358716,"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."}}