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EPR states for von Neumann algebras

R. F. Werner
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Abstract

In a recent paper [quant-ph/9910066], Arens and Varadarajan gave a characterization of what they call EPR-states on a bipartite composite quantum system. By definition, such states imply perfect correlation between suitable pairs of observables in the two subsystems, and the task is to determine all such correlated pairs for a given state. In this note the argument is shortened and simplified, and at the same time extended to observables in general von Neumann algebras, which naturally arise in quantum field theory.

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R. F. Werner. 1999-10-17. EPR states for von Neumann algebras. https://arxiv.org/abs/quant-ph/9910077

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