# On small set of one-way LOCC indistinguishability of maximally entangled states

On small set of one-way LOCC indistinguishability of maximally entangled states In this paper, we study the one-way local operations and classical communication (LOCC) problem. In $$\mathbb {C}^d\otimes \mathbb {C}^d$$ C d ⊗ C d with $$d\ge 4$$ d ≥ 4 , we construct a set of $$3\lceil \sqrt{d}\rceil -1$$ 3 ⌈ d ⌉ - 1 one-way LOCC indistinguishable maximally entangled states which are generalized Bell states. Moreover, we show that there are four maximally entangled states which cannot be perfectly distinguished by one-way LOCC measurements for any dimension $$d\ge 4$$ d ≥ 4 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# On small set of one-way LOCC indistinguishability of maximally entangled states

, Volume 15 (4) – Jan 25, 2016
8 pages

/lp/springer_journal/on-small-set-of-one-way-locc-indistinguishability-of-maximally-H8wp9qgEAM
Publisher
Springer Journals
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-016-1243-x
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we study the one-way local operations and classical communication (LOCC) problem. In $$\mathbb {C}^d\otimes \mathbb {C}^d$$ C d ⊗ C d with $$d\ge 4$$ d ≥ 4 , we construct a set of $$3\lceil \sqrt{d}\rceil -1$$ 3 ⌈ d ⌉ - 1 one-way LOCC indistinguishable maximally entangled states which are generalized Bell states. Moreover, we show that there are four maximally entangled states which cannot be perfectly distinguished by one-way LOCC measurements for any dimension $$d\ge 4$$ d ≥ 4 .

### Journal

Quantum Information ProcessingSpringer Journals

Published: Jan 25, 2016

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