Bell's inequality with Dirac particles

Abstract

We study Bell's inequality using the Bell states constructed from four component Dirac spinors. Spin operator is related to the Pauli-Lubanski pseudo vector which is relativistic invariant operator. By using Lorentz transformation, in both Bell states and spin operator, we obtain an observer independent Bell's inequality, so that it is maximally violated as long as it is violated maximally in the rest frame.

7 pages. arXiv admin note: text overlap with arXiv:quant-ph/0308156 by other authors

References in corpus (10)

• Quantum Entanglement of Moving Bodies
• Lorentz-covariant reduced spin density matrix and EPR-Bohm correlations
• Relativistically invariant quantum information
• Entangled Light in Moving Frames
• Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
• Lorentz-invariant Bell's inequality
• Relativistic-invariant quantum entanglement between the spins of moving bodies
• Basis States for Relativistic, Dynamically-Entangled Particles
• Relativistic quantum nonlocality for the three-qubit Greenberger-Horne-Zeilinger state
• Spatial Localization and Relativistic Transformation of Quantum Spins

Cited by in corpus (7)

• Relativistic Bell Test within Quantum Reference Frames
• Global Dirac bispinor entanglement under Lorentz boosts
• Three-particle Bell-like inequalities under Lorentz transformations
• Lorentz Invariant Quantum Concurrence for SU(2) x SU(2) spin-parity states
• One and two spin$-1/2$ particles systems under Lorentz transformations
• Candidate entanglement invariants for two Dirac spinors
• Low degree Lorentz invariant polynomials as potential entanglement invariants for multiple Dirac spinors