Three maximally entangled states can require two-way local operations and classical communication for local discrimination

Three maximally entangled states can require two-way local operations and classical communication... We show that there exist sets of three mutually orthogonal d -dimensional maximally entangled states which cannot be perfectly distinguished using one-way local operations and classical communication (LOCC) for arbitrarily large values of d . This contrasts with several well-known families of maximally entangled states, for which any three states can be perfectly distinguished. We then show that two-way LOCC is sufficient to distinguish these examples. We also show that any three mutually orthogonal d -dimensional maximally entangled states can be perfectly distinguished using measurements with a positive partial transpose (PPT) and can be distinguished with one-way LOCC with high probability. These results circle around the question of whether there exist three maximally entangled states which cannot be distinguished using the full power of LOCC; we discuss possible approaches to answer this question. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Three maximally entangled states can require two-way local operations and classical communication for local discrimination

Physical Review A, Volume 88 (6) – Dec 12, 2013
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Publisher
American Physical Society (APS)
Copyright
©2013 American Physical Society
ISSN
1050-2947
D.O.I.
10.1103/PhysRevA.88.062316
Publisher site
See Article on Publisher Site

Abstract

We show that there exist sets of three mutually orthogonal d -dimensional maximally entangled states which cannot be perfectly distinguished using one-way local operations and classical communication (LOCC) for arbitrarily large values of d . This contrasts with several well-known families of maximally entangled states, for which any three states can be perfectly distinguished. We then show that two-way LOCC is sufficient to distinguish these examples. We also show that any three mutually orthogonal d -dimensional maximally entangled states can be perfectly distinguished using measurements with a positive partial transpose (PPT) and can be distinguished with one-way LOCC with high probability. These results circle around the question of whether there exist three maximally entangled states which cannot be distinguished using the full power of LOCC; we discuss possible approaches to answer this question.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Dec 12, 2013

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