{"id":"W2753827843","doi":"10.1007/s11128-017-1791-8","title":"Nonexistence of n-qubit unextendible product bases of size $$2^n-5$$ 2 n - 5","year":2017,"lang":"en","type":"article","venue":"Quantum Information Processing","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Beijing Municipal Natural Science Foundation","keywords":"Cardinality (data modeling); Product (mathematics); Field (mathematics); Cardinal number (linguistics); Basis (linear algebra)","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":[0.002042216,0.0007233215,0.0009012359,0.001015178,0.002093452,0.002050944,0.001897904,0.002063916,0.00964353],"category_scores_gemma":[0.006620114,0.001126182,0.0007570801,0.0004699104,0.003053908,0.004245897,0.004342475,0.00304071,0.0009897533],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006564698,"about_ca_system_score_gemma":0.0007780663,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003592448,"about_ca_topic_score_gemma":0.000516134,"domain_scores_codex":[0.998638,0.0003511,0.00007265369,0.0002586507,0.0004491906,0.0002304701],"domain_scores_gemma":[0.9962711,0.002356349,0.0001903133,0.0005155994,0.0002707275,0.0003958342],"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":[0.0001388869,0.00003643242,0.0002426669,0.00005658867,0.00001527412,0.0001268592,0.0001307012,0.002147684,0.005658648,0.9867142,0.00129278,0.003439191],"study_design_scores_gemma":[0.00007713198,0.00007510475,0.000497913,0.00004237789,0.00001636851,0.0003525624,0.0001527359,0.02984036,0.01398875,0.9510181,0.003890342,0.00004834411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6515128,0.0006149435,0.1949354,0.003439618,0.0006719648,0.000104882,0.0004027805,0.0005275751,0.14779],"genre_scores_gemma":[0.9241076,0.0002145285,0.05319731,0.0005771173,0.0000936031,0.0002485564,0.0003156271,0.0001835513,0.02106204],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00964353,"threshold_uncertainty_score":0.03226078,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01378878942271403,"score_gpt":0.2615254256569138,"score_spread":0.2477366362341998,"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."}}