Popescu-Rohrlich box implementation in general probabilistic theory of processes |
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Institution: | 1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia;2. Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068, Siegen, Germany;3. Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 845 11 Bratislava, Slovakia;4. Faculty of Informatics, Masaryk University, Botanická 68a, 602 00 Brno, Czech Republic |
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Abstract: | It is shown that Popescu-Rohrlich nonlocal boxes (beating the Tsirelson bound for Bell inequality) do exist in the existing structures of both quantum and classical theory. In particular, we design an explicit example of measure-and-prepare nonlocal (but no-signaling) channel being the realization of nonlocal and no-signaling Popescu-Rohrlich box within the generalized probabilistic theory of processes. Further we present a post-selection-based spatially non-local implementation and show it does not require truly quantum resources, hence, improving the previously known results. Interpretation and potential (spatially non-local) simulation of this form of process nonlocality and the protocol is discussed. |
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Keywords: | Bell inequalities CHSH inequality PR boxes Quantum channels |
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