Entanglement properties of a system of two spin-1 particles under a Lorentz transformation

Esteban Castro-Ruiz and Eduardo Nahmad-Achar
Phys. Rev. A 86, 052331 – Published 29 November 2012

Abstract

We analyze the entanglement change, as seen by different relativistic observers, for a system consisting of two spin-1 particles, considering different partitions of the Hilbert space, which has spin and momentum degrees of freedom. We show that there exists a complete set of states of the spin subspace in which the entanglement change of any state in the set is zero for all partitions and all values of the Wigner angle. Moreover, these states only change by a global phase factor under the Lorentz boost. Within this basis, maximally entangled invariant states, interesting for quantum information purposes, are explicitly obtained. On the other hand, the entanglement in the particle-particle partition is Lorentz invariant, thus protecting the consistency of quantum correlations and teleportation results. We show how our results may be generalized to arbitrary spin.

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  • Received 13 August 2012

DOI:https://doi.org/10.1103/PhysRevA.86.052331

©2012 American Physical Society

Authors & Affiliations

Esteban Castro-Ruiz and Eduardo Nahmad-Achar

  • Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México and Apdo. Postal 70-543, Mexico D.F., C.P. 04510

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Issue

Vol. 86, Iss. 5 — November 2012

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