2002/03/12 by Paul M. Alsing, Alsing, Paul M., G. J. Milburn +2
Physics and Astronomy · #FOS: Physical sciences #Orbital Angular Momentum in Optics #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Relativity and Gravitational Theory #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0203051
31 pages, 3 figures, submitted to Phys. Rev. A
arxiv created 2002/03/12 · openalex publication_date 2002/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the transformation of maximally entangled states under the action of Lorentz transformations in a fully relativistic setting. By explicit calculation of the Wigner rotation, we describe the relativistic analog of the Bell states as viewed from two inertial frames moving with constant velocity with respect to each other. Though the finite dimensional matrices describing the Lorentz transformations are non-unitary, each single particle state of the entangled pair undergoes an effective, momentum dependent, local unitary rotation, thereby preserving the entanglement fidelity of the bipartite state. The details of how these unitary transformations are manifested are explicitly worked out for the Bell states comprised of massive spin 1/2 particles and massless photon polarizations. The relevance of this work to non-inertial frames is briefly discussed.