{"id":"W4385438397","doi":"10.48550/arxiv.2307.15661","title":"Relaxations and Exact Solutions to Quantum Max Cut via the Algebraic Structure of Swap Operators","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Horizon 2020 Framework Programme; QuantERA; Javna Agencija za Raziskovalno Dejavnost RS","keywords":"Mathematics; Hamiltonian (control theory); Discrete mathematics; Pauli matrices; Bipartite graph; Eigenvalues and eigenvectors; Qubit; Combinatorics; Quantum; Graph; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0009063476,0.000299043,0.0003970441,0.0004572135,0.0005960981,0.0008623021,0.0006069763,0.0005337959,0.004876317],"category_scores_gemma":[0.003267067,0.0002618151,0.0005462117,0.0004907996,0.001612473,0.001725925,0.001302036,0.001678316,0.0002877764],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008643697,"about_ca_system_score_gemma":0.0007922404,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009919783,"about_ca_topic_score_gemma":0.001443181,"domain_scores_codex":[0.9995024,0.0001745325,0.00001773274,0.00006207595,0.000146127,0.00009718562],"domain_scores_gemma":[0.9991001,0.0005474715,0.00008068581,0.0001335697,0.00008766032,0.00005065954],"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":[0.00008768561,0.00006963086,0.0004439084,0.0001005721,0.00001577649,0.0000564664,0.0002082048,0.1564076,0.00334317,0.8099462,0.002270243,0.02705051],"study_design_scores_gemma":[0.00002918905,0.00003721996,0.0001575177,0.000009724105,0.000005218368,0.00002592842,0.00007546756,0.5324361,0.001474808,0.4645208,0.001219053,0.00000902355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2126937,0.0002644292,0.7645346,0.0006688958,0.00005010631,0.00008234062,0.0001108848,0.0002950674,0.0213],"genre_scores_gemma":[0.8542987,0.0001791058,0.1403253,0.0001847429,0.00004492538,0.0001112557,0.0001501193,0.0001297452,0.004576214],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004876317,"threshold_uncertainty_score":0.0163129,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04307229187832901,"score_gpt":0.1947205658342254,"score_spread":0.1516482739558964,"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."}}