{"id":"W2065276051","doi":"10.1142/s0219749904000109","title":"EXACT QUANTUM FOURIER TRANSFORMS AND DISCRETE LOGARITHM ALGORITHMS","year":2004,"lang":"en","type":"article","venue":"International Journal of Quantum Information","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":59,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute; University of Waterloo; St. Jerome's University","funders":"","keywords":"Quantum Fourier transform; Quantum algorithm; Logarithm; Algorithm; Quantum phase estimation algorithm; Discrete Fourier transform (general); Quantum computer; Fourier transform; Discrete logarithm; Quantum; Quantum error correction; Mathematics; Computer science; Discrete mathematics; Quantum mechanics; Fourier analysis; Fractional Fourier transform; Physics; Mathematical analysis; Public-key cryptography","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":[0.001306479,0.000467046,0.0006002625,0.0008737914,0.000851538,0.001992288,0.00114169,0.001266764,0.004014699],"category_scores_gemma":[0.00996769,0.000377745,0.0005440683,0.001018762,0.003295983,0.005605817,0.002059169,0.002835454,0.0008347271],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001240084,"about_ca_system_score_gemma":0.000703958,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005894961,"about_ca_topic_score_gemma":0.0003314543,"domain_scores_codex":[0.9981816,0.0004967914,0.00007387455,0.0002501287,0.0007549776,0.0002425748],"domain_scores_gemma":[0.9964865,0.002329665,0.0001735329,0.0006775183,0.000270473,0.00006227104],"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":[0.00004248623,0.00002374403,0.0001347534,0.00003092702,0.000005743897,0.00003855631,0.0000690298,0.01848847,0.0008055288,0.9573208,0.0007000876,0.02233987],"study_design_scores_gemma":[0.0000148158,0.00001614599,0.00004916538,0.000009531343,0.00000258079,0.00005001678,0.00001052367,0.08645131,0.001642988,0.9101437,0.00160048,0.000008652471],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0541063,0.001096233,0.9130888,0.00166138,0.0001869802,0.00006756608,0.0001046269,0.0005036749,0.02918448],"genre_scores_gemma":[0.7947277,0.001074413,0.1923871,0.0005195464,0.0003139938,0.0001984112,0.0001561357,0.0001453539,0.01047734],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004014699,"threshold_uncertainty_score":0.01343054,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007846436893072413,"score_gpt":0.2488456276524128,"score_spread":0.2409991907593404,"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."}}