Entanglement and nonlocality of a single relativistic particle
Physical Review A - Atomic, Molecular, and Optical Physics 80:4 (2009)
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 relativistically boosted inertial frame and show that the entanglement between the two velocity modes survives right up to the speed of light. We also discuss how quantum gates could be implemented in this way and apply our results to the case of a superconductor. In particular, we show that an s -wave superconductor would have p -wave components for a boosted observer. © 2009 The American Physical Society.Classical and quantum correlations under decoherence
Physical Review A - Atomic, Molecular, and Optical Physics 80:4 (2009)