EPR states for von Neumann algebras

1999/10/17 by Reinhard F. Werner, R. F. Werner, Werner, R. F. · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Advanced Algebra and Logic #FOS: Physical sciences #Molecular Junctions and Nanostructures #Quantum Physics (quant-ph) #Semiconductor Lasers and Optical Devices #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9910077

2 pages, RevTeX

arxiv created 1999/10/17 · openalex publication_date 1999/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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