Generalizations of Boxworld

Abstract

Boxworld is a toy theory that can generate extremal nonlocal correlations known as PR boxes. These have been well established as an important tool to examine general nonlocal correlations, even beyond the correlations that are possible in quantum theory. We modify boxworld to include new features. The first modification affects the construction of joint systems such that the new theory allows entangled measurements as well as entangled states in contrast to the standard version of boxworld. The extension to multipartite systems and the consequences for entanglement swapping are analysed. Another modification provides continuous transitions between classical probability theory and boxworld, including the algebraic expression for the maximal CHSH violation as a function of the transition parameters.

In Proceedings QPL 2011, arXiv:1210.0298

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Cited by in corpus (8)

• Any Physical Theory of Nature Must Be Boundlessly Multipartite Nonlocal
• Sequences of projective measurements in generalized probabilistic models
• Experimental demonstration of genuine tripartite nonlocality under strict locality conditions
• The operational framework for quantum theories is both epistemologically and ontologically neutral
• Quantum correlations cannot be reproduced with a finite number of measurements in any no-signaling theory
• The shadows of quantum gravity on Bell's inequality
• No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations
• Consistency and Causality of Interconnected Nonsignaling Resources