{"id":"W3083178314","doi":"10.1038/s41467-021-22275-0","title":"Jordan products of quantum channels and their compatibility","year":2021,"lang":"en","type":"article","venue":"Nature Communications","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":25,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Ministry of Colleges and Universities; Natural Sciences and Engineering Research Council of Canada; Vedecká Grantová Agentúra MŠVVaŠ SR a SAV; Agentúra na Podporu Výskumu a Vývoja; Deutsche Forschungsgemeinschaft; Institut Périmètre de physique théorique; Canadian Institute for Advanced Research; Innovation, Science and Economic Development Canada; Government of Canada","keywords":"Compatibility (geochemistry); Quantum; Quantum entanglement; Classical capacity; Computer science; Quantum channel; Channel (broadcasting); Bipartite graph; Dephasing; Mathematics; Topology (electrical circuits); Quantum mechanics; Physics; Theoretical computer science; Telecommunications; Combinatorics; Engineering","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":[0.005073388,0.0008565693,0.0007633312,0.001576745,0.001802666,0.004714011,0.00124394,0.001697296,0.008327135],"category_scores_gemma":[0.01653309,0.0008105862,0.001401225,0.001243441,0.006768129,0.008950483,0.00340074,0.00320734,0.001055298],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001195367,"about_ca_system_score_gemma":0.002020324,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006498896,"about_ca_topic_score_gemma":0.0004365075,"domain_scores_codex":[0.9944307,0.002368851,0.0003875497,0.001053425,0.001127426,0.000632129],"domain_scores_gemma":[0.985684,0.007777094,0.00183036,0.001152701,0.002262293,0.001293579],"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":[0.00005880301,0.00003144105,0.0002201745,0.00002970321,0.000009714306,0.00005425831,0.0001796601,0.003702436,0.0006654062,0.9916496,0.0003470345,0.003051825],"study_design_scores_gemma":[0.00002276622,0.0000513863,0.00009940672,0.00001916238,0.000007294441,0.00007034781,0.00009359894,0.03074828,0.001281973,0.9661801,0.001400666,0.00002497011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2538856,0.00046257,0.6853057,0.001498428,0.0001323328,0.0002535535,0.000533297,0.000395263,0.05753333],"genre_scores_gemma":[0.8555824,0.0004751506,0.132764,0.0003745314,0.0002468547,0.0003741237,0.0005828119,0.0002236583,0.009376503],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008327135,"threshold_uncertainty_score":0.02785701,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02490633103013356,"score_gpt":0.2893705962213254,"score_spread":0.2644642651911918,"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."}}