Local distinguishability of orthogonal quantum states with multiple copies of 22 maximally entangled states

Zhi-Chao Zhang, Yan-Qi Song, Ting-Ting Song, Fei Gao, Su-Juan Qin, and Qiao-Yan Wen
Phys. Rev. A 97, 022334 – Published 23 February 2018

Abstract

For general quantum systems, many sets of locally indistinguishable orthogonal quantum states have been constructed so far. However, it is interesting how much entanglement resources are sufficient and/or necessary to distinguish these states by local operations and classical communication (LOCC). Here we first present a method to locally distinguish a set of orthogonal product states in 55 by using two copies of 22 maximally entangled states. Then we generalize the distinguishing method for a class of orthogonal product states in dd (d is odd). Furthermore, for a class of nonlocality of orthogonal product states in dd (d5), we prove that these states can be distinguished by LOCC with two copies of 22 maximally entangled states. Finally, for some multipartite orthogonal product states, we also present a similar method to locally distinguish these states with multiple copies of 22 maximally entangled states. These results also reveal the phenomenon of less nonlocality with more entanglement.

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  • Received 27 December 2017

DOI:https://doi.org/10.1103/PhysRevA.97.022334

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Zhi-Chao Zhang1,2, Yan-Qi Song1, Ting-Ting Song3, Fei Gao1,*, Su-Juan Qin1, and Qiao-Yan Wen1

  • 1State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 2State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China
  • 3Department of Computer Science, College of Information Science and Technology, Jinan University, Guangzhou 510632, China

  • *gaofei_bupt@hotmail.com

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Vol. 97, Iss. 2 — February 2018

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