arXiv:quant-ph/0009007 · Letters in Mathematical Physics

The Einstein–Podolsky–Rosen State Maximally Violates Bell's Inequalities

Hans Halvorson

Published Sep 1, 2000• 20 citations

arXiv HTML PDF

DOI: 10.1023/a:1007609031556

Related papers

Constraints for the violation of the Bell inequality in Einstein-Podolsky-Rosen-Bohm experiments

Emilio Santos

Physics Letters AApr 1, 199525 citations

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

Hans Halvorson

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.

Jan 1, 200023 citations

Which states violate Bell's inequalities maximally?

Sandu Popescu, Rohrlich, D

Jan 1, 19920 citations

Einstein-Podolsky-Rosen Paradox and Bell's Inequalities

Willy De Baere

Advances in electronics and electron physicsJan 1, 198620 citations

Lorentz-invariant Bell’s inequality

Won Tae Kim, Edwin J. Son

We study Bell's inequality in relation to the Einstein-Podolsky-Rosen paradox in the relativistic regime. For this purpose, a relativistically covariant analysis is used in the calculation of the Bell's inequality, which results in the maximally violated Bell's inequality in any reference frame.

arXiv:quant-ph/0408127Physical Review AJan 20, 200555 citations

Equivalence between Bell’s inequality and a constraint on stochastic field theories for Einstein-Podolsky-Rosen states

Lars M. Johansen

A generalized form of the Einstein Podolsky-Rosen state is defined, embracing both classical and nonclassical states. It is shown that for such states, Bell's inequality is equivalent to a constraint on stochastic field theories. Thus violation of Bell's inequality can be observed also for weak violation of stochastic field theories. The Schr\"odinger-cat state is shown to be an example of this.

arXiv:quant-ph/9704032Physical Review AJul 1, 19971 citation