Entanglement and nonlocality of a single relativistic particle

Abstract

Recent work has argued that the concepts of entanglement and nonlocality must be taken seriously even in systems consisting of only a single particle. These treatments, however, are nonrelativistic and, if single particle entanglement is fundamental, it should also persist in a relativistic description. Here we consider a spin-1/2 particle in a superposition of two different velocities as viewed by an observer in a different relativistically-boosted inertial frame. We show that the entanglement survives right up to the speed of light and that the boosted observer would see single-particle violations of Bell's inequality. We also discuss how quantum gates could be implemented in this way and the possible implications for quantum information processing.

4 pages

References in corpus (5)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Quantum Entanglement of Moving Bodies
• Nonlocality of a single particle
• Relativistic-invariant quantum entanglement between the spins of moving bodies
• Single particle nonlocality with completely independent reference states

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