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Chin. Phys. B, 2009, Vol. 18(8): 3243-3246    DOI: 10.1088/1674-1056/18/8/025
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Local distinguishability by projective measurement

Jiang Wei(姜伟)a), Ren Xi-Jun(任喜军)b), Zhou Xing-Xiang(周幸祥)a), Zhou Zheng-Wei(周正威)a), and Guo Guang-Can(郭光灿)a)
a Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China; b School of Physics & Electronics, Henan University, Kaifeng 475001, China
Abstract  This paper proves that a set of orthogonal pure states are indistinguishable by restricted local projective measurement and classical communication if the sum of their Schmidt ranks is larger than the dimension of their joint Hilbert space. This result is useful in determining the local distinguishability of quantum states and is stronger in some respects than that of Hayashi et al [Phys. Rev. Lett. 96, 040501]. In addition, it presents a new method to determine the local distinguishability of orthogonal states by projecting measurement operators into their subspaces.
Keywords:  local distinguishability      projective measurement      Schmidt rank  
Received:  26 November 2008      Revised:  06 January 2009      Accepted manuscript online: 
PACS:  03.67.Hk (Quantum communication)  
  03.65.Fd (Algebraic methods)  
Fund: Project supported by National Fundamental Research Program of China (Grant No 2006CB921900), the Innovation Funds from the Chinese Academy of Sciences, and National Natural Science Foundation of China (Grant Nos 60621064, 10574126, 10875110 and 60836001).

Cite this article: 

Jiang Wei(姜伟), Ren Xi-Jun(任喜军), Zhou Xing-Xiang(周幸祥), Zhou Zheng-Wei(周正威), and Guo Guang-Can(郭光灿) Local distinguishability by projective measurement 2009 Chin. Phys. B 18 3243

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