The local distinguishability of any three generalized Bell states

Abstract

We study the problem of distinguishing maximally entangled quantum states by using local operations and classical communication (LOCC). A question of fundamental interest is whether any three maximally entangled states in ${\mathbb{C}}^d\otimes {\mathbb{C}}^d(d\ge 4)$ are distinguishable by LOCC. In this paper, we restrict ourselves to consider the generalized Bell states. And we prove that any three generalized Bell states in ${\mathbb{C}}^d\otimes {\mathbb{C}}^d(d\ge 4)$ are locally distinguishable.

11 pages, 1 figure, accepted by Quantum Information Processing

References in corpus (3)

• Detecting the local indistinguishability of maximally entangled states
• $d$ locally indistinguishable maximally entangled states in ${\mathbb{C}}^d\otimes {\mathbb{C}}^d$
• On small set of one-way LOCC indistinguishability of maximally entangled states

Cited by in corpus (7)

• Twist-teleportation based local discrimination of maximally entangled states
• Simple criterion for local distinguishability of generalized Bell states in prime dimension
• Local discrimination of generalized Bell states via commutativity
• Finding out all locally indistinguishable sets of generalized Bell states
• Detectors for local discrimination of sets of generalized Bell states
• The Independence of Distinguishability and the Dimension of the System
• Local unitary classification of sets of generalized Bell states in ${\mathbb{C}}^d\otimes {\mathbb{C}}^d$