{"paper":{"title":"Modeling Pauli measurements on graph states with nearest-neighbor classical communication","arxiv_id":"quant-ph/0603032","primary_cat":"quant-ph","submitted_at":"2006-03-04T16:17:55+00:00","version_compiled":"v2"},"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 v2","sentences":[{"i":0,"p":0.99,"id":"s0","own":true,"role":"contribution","text":"We propose a communication-assisted local-hidden-variable model that yields the correct outcome for the measurement of any product of Pauli operators on an arbitrary graph state, i.e., that yields the correct global correlation among the individual measurements in the Pauli product.","hedge":{"p":0.96,"label":"asserted"},"own_p":0.91,"main_claim_p":0.64,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.99,"interpretation":0.0}},{"i":1,"p":0.77,"id":"s1","own":true,"role":"method","text":"Within this model, communication is restricted to a single round of message passing between adjacent nodes of the graph.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.68,"main_claim_p":0.07,"quantitative":true,"quantitative_p":0.87,"role_probabilities":{"gap":0.0,"method":0.77,"result":0.0,"background":0.0,"limitation":0.17,"future_work":0.0,"contribution":0.06,"interpretation":0.0}},{"i":2,"p":0.96,"id":"s2","own":true,"role":"result","text":"We show that any model sharing some general properties with our own is incapable, for at least some graph states, of reproducing the expected correlations among all subsets of the individual measurements.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.89,"main_claim_p":0.28,"quantitative":false,"quantitative_p":0.36,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.96,"background":0.0,"limitation":0.02,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":3,"p":0.89,"id":"s3","own":true,"role":"result","text":"The ability to reproduce all such correlations is found to depend on both the communication distance and the symmetries of the communication protocol.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.24,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.89,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.11}}]},"compiled":{"main_claim":{"p":0.56,"text":"We propose a communication-assisted local-hidden-variable model that yields the correct outcome for the measurement of any product of Pauli operators on an arbitrary graph state, i.e., that yields the correct global correlation among the individual measurements in the Pauli product.","location":"abstract s0","hedge_strength":{"p":0.96,"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":3633,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.05,"states_limitation":0.75,"human_participants":0.01,"controlled_comparison":0.08,"randomized_assignment":0.01,"states_quantitative_result":0.1,"compares_with_prior_results":0.39,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.96,"value":"proof or derivation","probabilities":{"argument":0.04,"literature":0.0,"proof_or_derivation":0.96,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.0}},"contribution_type":{"p":0.98,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.02,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":0.98,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":1.0,"text":"We propose a communication-assisted local-hidden-variable model that yields the correct outcome for the measurement of any product of Pauli operators on an arbitrary graph state, i.e., that yields the correct global correlation among the individual measurements in the Pauli product.","location":"abstract s0"}},"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 v2"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":4,"sentences_in_abstract":4},"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}}