Strange behavior of the relativistic Einstein-Podolsky-Rosen correlations

Abstract

We show that configurations exist in which the correlation functions and the degree of violation of Bell-type inequalities in the relativistic Einstein-Podolsky-Rosen (EPR) experiment have local extrema for some values of the velocities of the EPR particles. Moreover, this strange behavior can be observed for both discussed relativistic spin operators and for spin-1/2 as well as spin-1 particles.

arXiv comment5 figures

References in corpus (9)

• Einstein-Podolsky-Rosen-Bohm experiment with relativistic massive particles
• Relativistic entanglement and Bell's inequality
• Relativistic Einstein-Podolsky-Rosen correlation and Bell's inequality
• Lorentz-covariant reduced spin density matrix and EPR-Bohm correlations
• Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
• Quantum Entanglement under Lorentz Boost
• Einstein-Podolsky-Rosen correlations of vector bosons
• Helicity correlations of vector bosons
• Relativistic quantum nonlocality for the three-qubit Greenberger-Horne-Zeilinger state

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• Spin and localization of relativistic fermions and uncertainty relations
• Spin operator in the Dirac theory
• Quantum Preferred Frame: Does It Really Exist?
• WKB analysis of relativistic Stern-Gerlach measurements
• A new view on spin reduced density matrix for relativistic particles
• Two-spinors, oscillator algebras, and qubits: Aspects of manifestly covariant approach to relativistic quantum information
• Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles
• Relativistic Einstein-Podolsky-Rosen correlations and localization
• Is bound entanglement Lorentz invariant?
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• Thomas--Wigner rotation as a holonomy for spin-$1/2$ particles
• Candidate entanglement invariants for two Dirac spinors
• Relativistic quantum information theory and quantum reference frames
• Low degree Lorentz invariant polynomials as potential entanglement invariants for multiple Dirac spinors
• Effect of Wigner rotation on estimating unitary-shift parameter of relativistic spin-1/2 particle