Capability of local operations and classical communication to distinguish bipartite unitary operations

Lvzhou Li, Shenggen Zheng, Haozhen Situ, and Daowen Qiu
Phys. Rev. A 96, 052327 – Published 20 November 2017

Abstract

The problem studied in this paper is, if the number of queries to unitary operations is fixed, say k, then when do local operations and classical communication (LOCC) suffice for optimally distinguishing bipartite unitary operations? We consider the above problem for two-qubit unitary operations in the case of k=1, showing that for two two-qubit entangling unitary operations without local parties, LOCC achieves the same distinguishability as the global operations. Specifically, we obtain the following: (i) if such two unitary operations are perfectly distinguishable by global operations, then they are perfectly distinguishable by LOCC also, and (ii) if they are not perfectly distinguishable by global operations, then LOCC can achieve the same optimal discrimination probability as the global operations.

  • Figure
  • Received 21 September 2017

DOI:https://doi.org/10.1103/PhysRevA.96.052327

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Lvzhou Li1,2,*, Shenggen Zheng1, Haozhen Situ3, and Daowen Qiu1

  • 1Institute of Computer Science Theory, School of Data and Computer Science, Sun Yat-Sen University, Guangzhou 510006, China
  • 2The Key Laboratory of Machine Intelligence and Advanced Computing (Sun Yat-Sen University) Ministry of Education, Guangzhou 510006, China
  • 3College of Mathematics and Informatics, South China Agricultural University, Guangzhou 510642, China

  • *lilvzh@mail.sysu.edu.cn

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Issue

Vol. 96, Iss. 5 — November 2017

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