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Phys. Rev. Lett. 97, 250502 (2006) [4 pages]

Relativity and Lorentz Invariance of Entanglement Distillability

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L. Lamata1, M. A. Martin-Delgado2, and E. Solano3,4,5
1Instituto de Matemáticas y Física Fundamental, CSIC, Serrano 113-bis, 28006 Madrid, Spain
2Departamento de Física Teórica, Universidad Complutense de Madrid, E-40036, Spain
3Physics Department, ASC, and CeNS, Ludwig-Maximilians-Universität, Theresienstrasse 37, 80333 Munich, Germany
4Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany
5Sección Física, Departamento de Ciencias, Pontificia Universidad Católica del Perú, Apartado Postal 1761, Lima, Peru

Received 18 December 2005; published 19 December 2006

We study entanglement distillability of bipartite mixed spin states under Wigner rotations induced by Lorentz transformations. We define weak and strong criteria for relativistic isoentangled and isodistillable states to characterize relative and invariant behavior of entanglement and distillability. We exemplify these criteria in the context of Werner states, where fully analytical methods can be achieved and all relevant cases presented.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.250502
DOI:
10.1103/PhysRevLett.97.250502
PACS:
03.67.Mn, 03.30.+p