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

Generalizations of Boxworld