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

Loading next page...
 
/lp/springer_journal/tripartite-entanglements-seen-from-a-relativistically-moving-frame-acsAQnQeKj
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.

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from Google Scholar, PubMed
Create lists to organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off