Tripartite entanglements seen from a relativistically moving frame

Tripartite entanglements seen from a relativistically moving frame In the rest frame of an observer, a moving system of three spin $${-\frac{1}{2}}$$ massive particles described by a Gaussian momentum distributed wave packet, is considered. The spin part is assumed be maximally entangled as the Greenberger-Horne-Zeilinger (GHZ) or the W state. In a boosted frame the spin entanglements change as a result of the Wigner rotation produced by the Lorentz transformation. As a measure for these tripartite entanglements, the logarithmic negativity is calculated for the corresponding reduced density matrix viewed in the boosted frame. For a specific Lorentz boost, when the momentum part of the system is separable, the logarithmic negativity for both the spin states desend uniformly to nonzero asymptotic values depending on the width of the momentum distribution. However, when the momentum part is perfectly correlated, there exist boosts with determined speed that completely remove the GHZ spin entanglement. Also, there exist boosts leading to minimal destruction of the GHZ entanglement, provided that the width of the momentum distribution is large enough. Interestingly, the W spin entanglement in this case is Lorentz invariant. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Tripartite entanglements seen from a relativistically moving frame

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Publisher
Springer US
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Physics; Physics, general; Theoretical, Mathematical and Computational Physics; Quantum Physics; Computer Science, general; Mathematics, general
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-011-0261-y
Publisher site
See Article on Publisher Site

Abstract

In the rest frame of an observer, a moving system of three spin $${-\frac{1}{2}}$$ massive particles described by a Gaussian momentum distributed wave packet, is considered. The spin part is assumed be maximally entangled as the Greenberger-Horne-Zeilinger (GHZ) or the W state. In a boosted frame the spin entanglements change as a result of the Wigner rotation produced by the Lorentz transformation. As a measure for these tripartite entanglements, the logarithmic negativity is calculated for the corresponding reduced density matrix viewed in the boosted frame. For a specific Lorentz boost, when the momentum part of the system is separable, the logarithmic negativity for both the spin states desend uniformly to nonzero asymptotic values depending on the width of the momentum distribution. However, when the momentum part is perfectly correlated, there exist boosts with determined speed that completely remove the GHZ spin entanglement. Also, there exist boosts leading to minimal destruction of the GHZ entanglement, provided that the width of the momentum distribution is large enough. Interestingly, the W spin entanglement in this case is Lorentz invariant.

Journal

Quantum Information ProcessingSpringer Journals

Published: Jul 28, 2011

References

  • Teleportation with an accelerated partner
    Alsing, P.M.; Milburn, G.J.

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