{"paper":{"title":"Stabilizer R\\'enyi moments beyond entanglement","arxiv_id":"2610.27596","primary_cat":"quant-ph","submitted_at":"2026-10-20T04:02:24+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":0.88,"id":"s0","own":false,"role":"background","text":"Stabilizer R\\'enyi moments depend on a choice of operator basis and need not be determined by entanglement spectra.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.16,"main_claim_p":0.43,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.03,"method":0.0,"result":0.09,"background":0.88,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.98,"id":"s1","own":true,"role":"contribution","text":"In this paper, we study their spatial decay in critical quantum chains described by two-dimensional conformal field theories.","hedge":{"p":0.8,"label":"asserted"},"own_p":0.84,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.2,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.98,"interpretation":0.0}},{"i":2,"p":0.61,"id":"s2","own":true,"role":"result","text":"We derive an exact entanglement baseline for reductions of pure stabilizer states and a symmetry selection rule for the charged contribution at fixed support.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.12,"quantitative":false,"quantitative_p":0.26,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.61,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.39,"interpretation":0.0}},{"i":3,"p":0.99,"id":"s3","own":true,"role":"result","text":"An exact Ising example shows that an on-site rotation changes the full decay exponent while preserving every subsystem entanglement spectrum.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.87,"main_claim_p":0.37,"quantitative":false,"quantitative_p":0.49,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":4,"p":0.62,"id":"s4","own":true,"role":"result","text":"For growing Ising intervals at index two, we obtain an exact Pfaffian representation and compare the charged amplitude with a candidate conformal boundary calculation.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.08,"quantitative":true,"quantitative_p":0.79,"role_probabilities":{"gap":0.0,"method":0.03,"result":0.62,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.35,"interpretation":0.0}},{"i":5,"p":0.95,"id":"s5","own":true,"role":"limitation","text":"The data support this prediction, but its identification with the lattice limit still requires endpoint matching and control of the order of limits.","hedge":{"p":0.67,"label":"hedged_possibility"},"own_p":0.78,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.01,"background":0.0,"limitation":0.95,"future_work":0.04,"contribution":0.0,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.84,"text":"Stabilizer R\\'enyi moments depend on a choice of operator basis and need not be determined by entanglement spectra.","location":"abstract s0","hedge_strength":{"p":0.93,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":4851,"cost_usd_reported":0.0},"compiled_at":"2026-10-21","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.04,"states_limitation":0.95,"human_participants":0.01,"controlled_comparison":0.54,"randomized_assignment":0.01,"states_quantitative_result":0.24,"compares_with_prior_results":0.92,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.99,"value":"proof or derivation","probabilities":{"argument":0.0,"literature":0.0,"proof_or_derivation":0.99,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.01}},"contribution_type":{"p":1.0,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.0,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":1.0,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.85,"text":"We derive an exact entanglement baseline for reductions of pure stabilizer states and a symmetry selection rule for the charged contribution at fixed support.","location":"abstract s2"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v1"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":6,"sentences_in_abstract":6},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; the figure is how often the published label matches their consensus","sentence_role_agreement":0.92,"main_claim_agreement":0.908,"typed_citation_agreement":0.933,"typed_citation_agreement_95_interval":[0.917,0.945],"review_comments_accurate":0.758,"review_comments_accurate_95_interval":[0.684,0.82],"review_caught_admitted_error_found_or_related":0.448}}