Lorentz-invariant Bell's inequality

Abstract

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

7 pages, no figures, REVTeX4; v2. version to appear in Phys. Rev. A

References in corpus (6)

• Quantum Information and Relativity Theory
• Quantum entropy and special relativity
• Einstein-Podolsky-Rosen-Bohm experiment with relativistic massive particles
• Relativistic entanglement and Bell's inequality
• Relativistic Einstein-Podolsky-Rosen correlation and Bell's inequality
• Quantum Entanglement under Lorentz Boost

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• Spin operator in the Dirac theory
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• Helicity correlations of vector bosons
• Influence of detector motion in Bell inequalities with entangled fermions
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• Quantum Helicity Entropy of Moving Bodies
• WKB analysis of relativistic Stern-Gerlach measurements
• Relativistic quantum nonlocality for the three-qubit Greenberger-Horne-Zeilinger state
• A new view on spin reduced density matrix for relativistic particles
• Wigner rotations and an apparent paradox in relativistic quantum information
• Bell's inequality with Dirac particles
• Three-particle Bell-like inequalities under Lorentz transformations
• Spin entanglement of two spin-1/2 particles in a classical gravitational field
• Entanglement Entropy: Helicity versus Spin
• Quantum nonlocality of massive qubits in a moving frame
• Einstein-Podolsky-Rosen correlations in a hybrid system
• Relativistic three-partite non-locality
• Relativistic Einstein-Podolsky-Rosen correlations for vector and tensor states
• The shadows of quantum gravity on Bell's inequality
• Searching for a physical description relative to a quantum system
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• One and two spin$-1/2$ particles systems under Lorentz transformations
• Localization POVMs and intrinsic temporal uncertainty
• Relativistic quantum information theory and quantum reference frames
• Observer invariance of the collapse postulate of quantum mechanics
• Effect of Wigner rotation on estimating unitary-shift parameter of relativistic spin-1/2 particle
• Relativistic EPR-type experiments for photons in the background of reducible representation HOLA algebras