Reconstruction of bipartite states via unambiguous state discrimination and mutually unbiased measurement

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• 作者：Lian-Fang Han (1) (2)
  Ming Yang (1)
  Shu-Dong Fang (3)
  Zhuo-Liang Cao (1) (4)
  
  1. School of Physics and Material Science ; Anhui University ; Hefei ; 230601 ; China
  2. Department of Applied Physics ; School of Life Science ; Anhui Medical University ; Hefei ; 230032 ; China
  3. Department of Mechanical and Electronic Engineering ; Chizhou University ; Chizhou ; 247000 ; China
  4. School of Electronic and Information Engineering ; Hefei Normal University ; Hefei ; 230061 ; China
  
• 关键词：Quantum state tomography ; Unambiguous state discrimination ; Mutually unbiased measurement ; Von Neumann measurement
• 刊名：Quantum Information Processing
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：14
• 期：1
• 页码：381-391
• 全文大小：155 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Mathematics
  Engineering, general
  Computer Science, general
  Characterization and Evaluation Materials
  
• 出版者：Springer Netherlands
• ISSN：1573-1332

文摘

We propose a scheme for reconstructing an unknown two-particle mixed state by means of unambiguous state discrimination. In this protocol, an ancillary particle is introduced for distinguishing four nonorthogonal states. The discrimination process is performed by a bipartite unitary operation on the two-particle system and the ancilla followed by a von Neumann measurement on the ancilla. Then the original two-particle system is measured in mutually unbiased bases. Consequently, the two-particle mixed state can be reconstructed. Furthermore, the total number of measurements in this protocol is less than that of the standard quantum tomography, thus the quantum resources is saved. Additionally, the nonorthogonal states discrimination and mutually unbiased measurement can be experimentally achieved, therefore our protocol may be realized with the current technology.