Spin quantum correlations of relativistic particles

Pablo L. Saldanha and Vlatko Vedral
Phys. Rev. A 85, 062101 – Published 1 June 2012

Abstract

We show that a pair of massive relativistic spin-1/2 particles prepared in a maximally entangled spin state in general is not capable of maximally violating the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequalities without a postselection of the particles' momenta, representing a major difference in relation to nonrelativistic systems. 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.

  • Figure
  • Figure
  • Figure
  • Received 6 December 2011

DOI:https://doi.org/10.1103/PhysRevA.85.062101

©2012 American Physical Society

Authors & Affiliations

Pablo L. Saldanha1,2,* and Vlatko Vedral1,3,4

  • 1Department of Physics, University of Oxford, Clarendon Laboratory, Oxford OX1 3PU, United Kingdom
  • 2Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, Pernambuco, Brazil
  • 3Centre for Quantum Technologies, National University of Singapore, Singapore
  • 4Department of Physics, National University of Singapore, Singapore

  • *Electronic address: saldanha@df.ufpe.br

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 85, Iss. 6 — June 2012

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×