{"id":"W4407841517","doi":"10.1103/physrevlett.134.070403","title":"Stability of Mixed-State Quantum Phases via Finite Markov Length","year":2025,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":30,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Colleges and Universities; National Science Foundation; Government of Canada; Kavli Institute for Theoretical Physics, University of California, Santa Barbara; Simons Foundation; Heising-Simons Foundation; Institut Périmètre de physique théorique; Innovation, Science and Economic Development Canada","keywords":"Mixed phase; Quantum; Stability (learning theory); Markov chain; Statistical physics; Quantum mechanics; Physics; Materials science; Mathematics; Phase (matter); Computer science; Statistics","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":[0.001067325,0.0002141937,0.0002788141,0.0008851957,0.0009150426,0.001282274,0.000653015,0.0006134374,0.001628479],"category_scores_gemma":[0.006431682,0.0002910344,0.0003622118,0.0002500032,0.002842397,0.002281524,0.001517978,0.00114734,0.0001599691],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001576891,"about_ca_system_score_gemma":0.0008766598,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001151775,"about_ca_topic_score_gemma":0.001010843,"domain_scores_codex":[0.9996043,0.000124848,0.00001698203,0.00007798053,0.00009345803,0.00008249216],"domain_scores_gemma":[0.9962276,0.002181979,0.0006761121,0.0003514632,0.0002894608,0.000273461],"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":[0.0001188314,0.00003223036,0.001346567,0.00004472585,0.0000141642,0.00008968459,0.0002147359,0.03735104,0.0103453,0.9454947,0.0002829682,0.004665087],"study_design_scores_gemma":[0.00002486093,0.00005929901,0.000649964,0.00002296306,0.00000678761,0.00007907979,0.00005661731,0.4324565,0.004267675,0.5619087,0.0004318543,0.00003575477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8323781,0.0004688771,0.1529516,0.0008535271,0.00003732614,0.00003666344,0.0001129669,0.0002841312,0.01287691],"genre_scores_gemma":[0.993849,0.00006525649,0.005337463,0.00004040327,0.00001514847,0.00002875236,0.00002295965,0.00002829,0.0006127508],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001628479,"threshold_uncertainty_score":0.01144117,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01401861520279202,"score_gpt":0.2890366270500175,"score_spread":0.2750180118472255,"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."}}