{"id":"W2963776404","doi":"","title":"All languages in NP have very short quantum proofs","year":2007,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematical proof; Soundness; Quantum entanglement; Completeness (order theory); Complexity class; Quantum complexity theory; Class (philosophy); Quantum; Discrete mathematics; Logarithm; Mathematics; Quantum information; Computer science; Theoretical computer science; Combinatorics; Time complexity; Quantum mechanics; Physics; Programming language","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":[],"consensus_categories":[],"category_scores_codex":[0.0004598032,0.0001716726,0.0001705244,0.0002800729,0.00008659898,0.00005338833,0.0008713273,0.00008976436,0.000006046851],"category_scores_gemma":[0.0000225086,0.000177018,0.00008376959,0.0006116239,0.0000618155,0.0002546284,0.0003303816,0.0002882626,0.00003172023],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000757685,"about_ca_system_score_gemma":0.00004126158,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001653959,"about_ca_topic_score_gemma":0.0002109017,"domain_scores_codex":[0.9986369,0.00005785709,0.0001547788,0.0005759869,0.00009084299,0.0004836568],"domain_scores_gemma":[0.9991385,0.0001306667,0.00004773392,0.0005080363,0.00003920724,0.0001358079],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001520349,0.0007944303,0.1797589,0.00008739199,0.0001402602,0.01459896,0.004697717,0.3051938,0.001394572,0.4312627,0.001344469,0.06057478],"study_design_scores_gemma":[0.0004026152,0.00009120212,0.02912115,0.00003217166,0.000007951689,0.00003513337,0.0001772427,0.9622596,0.00057267,0.004916752,0.002034009,0.0003495092],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7361922,0.00004538087,0.2612735,0.0001314121,0.0001513347,0.00009769722,0.000001060114,0.0001715043,0.001935903],"genre_scores_gemma":[0.9972206,0.000009923413,0.002067827,0.0002703913,0.00007221736,1.368801e-7,0.000002082993,0.00001020692,0.0003465524],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6570658,"threshold_uncertainty_score":0.7218583,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03509116364968531,"score_gpt":0.2048224276190403,"score_spread":0.169731263969355,"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."}}