Spin quantum correlations of relativistic particles

Physics – Quantum Physics

Scientific paper

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4 pages, 3 figures

Scientific paper

We show that a pair of massive relativistic spin-1/2 particles prepared in a maximally entangled spin state in general do not maximally violate the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequalities without a post-selection of the particles momenta. This occurs because the quantization axis of the measurements performed on each particle depends on the particle velocity, such that it is not possible to define a reduced density matrix for the particles spin. We also show that the amount of violation of the CHSH inequality depends on the reference frame, and that in some frames the inequality may not be violated.

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