{"id":"W1573484378","doi":"10.1007/3-540-44828-4_16","title":"Unitary Error Bases: Constructions, Equivalence, and Applications","year":2003,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Unitary state; Mutually unbiased bases; Equivalence (formal languages); Mathematics; Algebra over a field; Counterexample; Hadamard transform; Algebraic number; Dimension (graph theory); Pure mathematics; Discrete mathematics","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":[0.002025759,0.0008202122,0.0009804378,0.001855673,0.001747767,0.003874517,0.001516806,0.002026185,0.007907209],"category_scores_gemma":[0.006091964,0.0005415868,0.0006434366,0.002925677,0.004333894,0.006286088,0.003322237,0.004453861,0.001796902],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007656862,"about_ca_system_score_gemma":0.0006653107,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003346692,"about_ca_topic_score_gemma":0.000287997,"domain_scores_codex":[0.9983536,0.0005244284,0.0001193984,0.0002488502,0.0005701511,0.0001835939],"domain_scores_gemma":[0.9980866,0.0009313508,0.0001277074,0.0004420588,0.0003294664,0.00008295016],"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":[0.000013066,0.00001218082,0.00002907393,0.00004089697,0.00000316054,0.00001068596,0.0001092186,0.000453477,0.0003208958,0.9785036,0.0009839102,0.0195198],"study_design_scores_gemma":[0.000007271329,0.00001549205,0.00003800284,0.00004501828,0.000004411878,0.00007501884,0.00006152085,0.002522673,0.001233056,0.9874802,0.008505064,0.00001215284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0257151,0.01432289,0.8155844,0.002500513,0.001266753,0.0001280763,0.0003182738,0.0005297432,0.1396342],"genre_scores_gemma":[0.5818978,0.01616804,0.345418,0.001047799,0.00154952,0.0005129486,0.0007164502,0.0005094608,0.05218006],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.007907209,"threshold_uncertainty_score":0.02645224,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01343766059321803,"score_gpt":0.2417368057881924,"score_spread":0.2282991451949744,"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."}}