Three maximally entangled states can require two-way LOCC for local discrimination

SMC Author

Michael Nathanson

SMC Affiliated Work

1

Status

Faculty

School

School of Science

Department

Math/Computer Science

Document Type

Article

Publication Date

12-2013

Publication / Conference / Sponsorship

Physical Review A

Description/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.

Scholarly

yes

DOI

10.1103/PhysRevA.88.062316

Volume

88

Issue

6

First Page

062316

Disciplines

Physics

Rights

Open Access. Author manuscript (arXiv)

Original Citation

Michael Nathanson (Mathematics and Computer Science): “Three maximally entangled states can require two-way LOCC for local discrimination,” in Physical Review A 88, 062316 (2013). https://doi.org/10.1103/PhysRevA.88.062316

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