{"paper":{"title":"Non-Locality$\\neq$Quantum Entanglement","arxiv_id":"2109.03871","primary_cat":"quant-ph","submitted_at":"2021-09-08T18:44:03+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":1.0,"id":"s0","own":false,"role":"background","text":"The unique entanglement measure is concurrence in a 2-qubit pure state.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.09,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.43,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.51,"id":"s1","own":false,"role":"background","text":"The maximum violation of Bell's inequality is monotonically increasing for this quantity.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.29,"main_claim_p":0.02,"quantitative":true,"quantitative_p":0.68,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.48,"background":0.51,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":2,"p":0.76,"id":"s2","own":false,"role":"background","text":"Therefore, people expect that pure state entanglement is relevant to the non-locality.","hedge":{"p":0.61,"label":"hedged_possibility"},"own_p":0.05,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.02,"method":0.0,"result":0.0,"background":0.76,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.22}},{"i":3,"p":0.61,"id":"s3","own":true,"role":"contribution","text":"For justification, we extend the study to three qubits.","hedge":{"p":0.82,"label":"asserted"},"own_p":0.79,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.22,"role_probabilities":{"gap":0.01,"method":0.37,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.61,"interpretation":0.0}},{"i":4,"p":0.9,"id":"s4","own":true,"role":"method","text":"We consider all possible 3-qubit operators with a symmetric permutation.","hedge":{"p":0.89,"label":"asserted"},"own_p":0.82,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.14,"role_probabilities":{"gap":0.0,"method":0.9,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.1,"interpretation":0.0}},{"i":5,"p":1.0,"id":"s5","own":true,"role":"result","text":"When only considering one entanglement measure, the numerical result contradicts expectation.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.89,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.13,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":6,"p":0.85,"id":"s6","own":true,"role":"interpretation","text":"Therefore, we conclude ``Non-Locality$\\neq$Quantum Entanglement''.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.77,"main_claim_p":0.98,"quantitative":false,"quantitative_p":0.33,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.15,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.85}},{"i":7,"p":0.88,"id":"s7","own":true,"role":"contribution","text":"We propose the generalized $R$-matrix or correlation matrix for the new diagnosis of Quantum Entanglement.","hedge":{"p":0.82,"label":"asserted"},"own_p":0.85,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.12,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.88,"interpretation":0.0}},{"i":8,"p":0.89,"id":"s8","own":true,"role":"result","text":"We then demonstrate the evidence by restoring the monotonically increasing result.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.9,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.89,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.09,"interpretation":0.01}}]},"compiled":{"main_claim":{"p":1.0,"text":"Therefore, we conclude ``Non-Locality$\\neq$Quantum Entanglement''.","location":"abstract s6","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe 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