Witnessing Bell violations through probabilistic negativity
| Autor: | Benjamin Morris, Lukas J. Fiderer, Ben Lang, Daniel Goldwater |
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| Rok vydání: | 2021 |
| Předmět: | |
| ISSN: | 2469-9926 2469-9934 |
| DOI: | 10.48550/arxiv.2105.01685 |
| Popis: | Bell's theorem shows that no local hidden-variable model can explain the measurement statistics of a quantum system shared between two parties, thus ruling out a classical (local) understanding of nature. In this paper we demonstrate that by relaxing the positivity restriction in the hidden-variable probability distribution it is possible to derive quasiprobabilistic Bell inequalities whose sharp upper bound is written in terms of a negativity witness of said distribution. This provides an analytic solution for the amount of negativity necessary to violate the Clauser-Horne-Shimony-Holt inequality by an arbitrary amount, therefore revealing the amount of negativity required to emulate the quantum statistics in a Bell test. |
| Databáze: | OpenAIRE |
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