A mutually-commuting von Neumann algebra model is constructed for arbitrary quantum networks, yielding Bell-type inequalities whose violation depends on specific algebraic structural conditions of the observables.
J., and Rejzner K.,Algebraic Quantum Field theory: An introduction, Progress and Visions in Quantum Theory in View of Gravity: Bridging Foundations of Physics and Mathematics
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Mutually-commuting von Neumann algebra models of quantum networks and violation of Bell-type inequalities
A mutually-commuting von Neumann algebra model is constructed for arbitrary quantum networks, yielding Bell-type inequalities whose violation depends on specific algebraic structural conditions of the observables.