The Einstein-Podolsky-Rosen state maximally violates Bell's inequalities

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In their well-known argument against the completeness of quantum theory, Einstein, Podolsky, and Rosen (EPR) made use of a state that strictly correlates the positions and momenta of two particles. We prove the existence and uniqueness of the EPR state as a normalized, positive linear functional of the Weyl algebra for two degrees of freedom. We then show that the EPR state maximally violates Bell's inequalities.

Original languageEnglish (US)
Pages (from-to)321-329
Number of pages9
JournalLetters in Mathematical Physics
Issue number4
StatePublished - Sep 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


  • Bell correlation
  • Type II factor
  • Weyl algebra


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