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Part of book or chapter of book . 1999 . Peer-reviewed
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Part of book or chapter of book . 1999 . Peer-reviewed
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Article . 1998
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Entanglement of Assistance

Authors: DiVincenzo, David P.; Fuchs, Christopher A.; Mabuchi, Hideo; Smolin, John A.; Thapliyal, Ashish; Uhlmann, Armin;

Entanglement of Assistance

Abstract

The newfound importance of ``entanglement as a resource'' in quantum computation and quantum communication compels us to quantify it in as many distinct ways as possible. Here we explore a new measure of entanglement for mixed quantum states of bipartite systems, which we name the Entanglement of Assistance. We show it to be the maximum average entanglement of all pure-state ensembles consistent with the given density matrix. In this sense, the Entanglement of Assistance is a quantity directly dual to the more standard Entanglement of Formation. With the help of lower and upper bounds, we calculate the Entanglement of Assistance for a few cases and use these results to show that it possesses the surprising property of superadditivity. We believe that this may shed some light on the question of additivity for the Entanglement of Formation.

11 pages, LaTeX w/llncs style. To appear in Proceedings of the 1st NASA International Conference on Quantum Computing and Quantum Communication(Springer-Verlag)

Country
United States
Keywords

Forthcomming Publication, Pure State, Quantum Physics, Bipartite System, Bipartite State, 500, FOS: Physical sciences, Density Matrix, Quantum Physics (quant-ph), 530

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    55
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
55
Top 10%
Top 10%
Average
Green