中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3243-3246.doi: 10.1088/1674-1056/18/8/025

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Local distinguishability by projective measurement

姜伟1, 周幸祥1, 周正威1, 郭光灿1, 任喜军2   

  1. (1)Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China; (2)School of Physics & Electronics, Henan University, Kaifeng 475001, China
  • 收稿日期:2008-11-26 修回日期:2009-01-06 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    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).

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)   

  1. 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
  • Received:2008-11-26 Revised:2009-01-06 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: local distinguishability, projective measurement, Schmidt rank

中图分类号:  (Quantum communication)

  • 03.67.Hk
03.65.Fd (Algebraic methods)