Locally indistinguishable generalized Bell states with one-way local operations and classical communication

Ying-Hui Yang, Jiang-Tao Yuan, Cai-Hong Wang, Shi-Jiao Geng, and Hui-Juan Zuo
Phys. Rev. A 98, 042333 – Published 25 October 2018

Abstract

In this paper, we investigate the indistinguishability of generalized Bell states (GBSs) by one-way local operations and classical communication (LOCC). We first introduce two sets, i.e., the difference set and the testing set, and show that the GBSs cannot always be distinguished by one-way LOCC if the testing set is a subset of the difference set of GBSs. Then we give a unified upper bound about indistinguishable GBSs by one-way LOCC. The newly derived bound is smaller than those presented in Zhang et al. [Phys. Rev. A 91, 012329 (2015)] and Wang et al. [Quantum Inf. Process. 15, 1661 (2016).]. More precisely, the minimum number of one-way locally indistinguishable GBSs is not more than 2d+d4+1.

  • Received 26 April 2018

DOI:https://doi.org/10.1103/PhysRevA.98.042333

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & Technology

Authors & Affiliations

Ying-Hui Yang1,*, Jiang-Tao Yuan1, Cai-Hong Wang1, Shi-Jiao Geng1, and Hui-Juan Zuo2

  • 1School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China
  • 2Mathematics and Information Science College, Hebei Normal University, Shijiazhuang 050024, China

  • *yangyinghui4149@163.com

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Issue

Vol. 98, Iss. 4 — October 2018

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