{"id":"W3098843617","doi":"","title":"On polynomial invariants of several qubits","year":2013,"lang":"en","type":"article","venue":"","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":59,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Qubit; Quantum entanglement; Multipartite; Invariant theory; Connection (principal bundle); Polynomial; Ideal (ethics); Discrete mathematics; Pure mathematics; Combinatorics; Algebra over a field; Quantum mechanics; Physics; Quantum; Mathematical analysis; Geometry","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":[0.00005343258,0.00004857584,0.00006124698,0.0000978,0.00002570374,0.00005601049,0.0003256749,0.00002418742,0.0004894552],"category_scores_gemma":[0.000008796702,0.00003698815,0.00003732488,0.0001926222,0.00001617267,0.0006073076,0.0000534449,0.00003692477,0.0007397177],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003717143,"about_ca_system_score_gemma":0.00001929013,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008194105,"about_ca_topic_score_gemma":0.00000194582,"domain_scores_codex":[0.9995337,0.00001209339,0.0001436316,0.00007189348,0.0001373447,0.0001013016],"domain_scores_gemma":[0.9996292,0.00002420299,0.00004512375,0.0002094246,0.00004307184,0.00004899317],"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":[0.000002703258,0.00003929614,0.0001608724,0.000003882484,0.000006434239,2.282765e-7,0.0003306873,0.00003959904,0.0002673256,0.9150345,0.07493323,0.009181283],"study_design_scores_gemma":[0.002917593,0.0008888409,0.1924492,0.00004797199,0.000004817407,0.00002138987,0.0001864897,0.6815985,0.03105949,0.07829152,0.01170501,0.0008290687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2963661,0.00000354502,0.4791363,0.001292208,0.0004259868,0.0001612652,9.587968e-7,0.0001392629,0.2224743],"genre_scores_gemma":[0.9893681,7.724973e-7,0.00858841,0.001797546,0.0000101417,0.000003647049,4.942823e-7,0.000001327239,0.0002295875],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8367429,"threshold_uncertainty_score":0.9507821,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005539506404193946,"score_gpt":0.1893285601460294,"score_spread":0.1837890537418355,"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."}}