{"id":"W2153370832","doi":"10.1063/1.1499763","title":"Quantum operations that cannot be implemented using a small mixed environment","year":2002,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Counterexample; Unitary state; Unitary transformation; Transformation (genetics); Quantum; State (computer science); Quantum operation; Quantum state; Mathematics; Quantum system; Pure mathematics; Quantum process; Algebra over a field; Theoretical physics; Discrete mathematics; Quantum mechanics; Open quantum system; Physics; Algorithm; Quantum dynamics","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":[0.001768274,0.0005947648,0.0007242837,0.0005698457,0.001991524,0.002991734,0.0008248817,0.001708917,0.00540809],"category_scores_gemma":[0.007964576,0.0005741852,0.0008725105,0.0004325698,0.005333655,0.005517667,0.004770941,0.002449792,0.0005823469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006194488,"about_ca_system_score_gemma":0.0008355643,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004180058,"about_ca_topic_score_gemma":0.0004122442,"domain_scores_codex":[0.9981226,0.0006546624,0.0001313794,0.0003050578,0.0004923893,0.0002939521],"domain_scores_gemma":[0.9966447,0.001678788,0.0002152366,0.001005674,0.0002354756,0.0002200116],"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":[0.0001657449,0.00005174695,0.0002498229,0.00005632151,0.00001956837,0.000183147,0.0001737766,0.003134433,0.00431215,0.9874466,0.0007565485,0.003449968],"study_design_scores_gemma":[0.0001577433,0.0002261383,0.0004813213,0.00004825271,0.00005114176,0.000447435,0.0003546224,0.0544297,0.02127975,0.9093733,0.01309082,0.00005975713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6051084,0.0003285808,0.2825527,0.003869507,0.0005157249,0.0002530349,0.000126163,0.001335652,0.1059102],"genre_scores_gemma":[0.9550864,0.0001460007,0.03701709,0.0006117786,0.0000521429,0.0002976187,0.00007755293,0.0001548585,0.006556444],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00540809,"threshold_uncertainty_score":0.0180918,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07320638103672758,"score_gpt":0.2637593541757396,"score_spread":0.1905529731390121,"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."}}