Probabilistic cloning of three nonorthogonal states

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• 作者：Wen Zhang (1)
  Pinshu Rui (2)
  Qun Yang (1)
  Yan Zhao (3)
  Ziyun Zhang (1)
  
  1. Key Laboratory of Optoelectronic Information Acquisition and Manipulation of Ministry of Education of China ; School of Physics and Material Science ; Anhui University ; Hefei ; 230601 ; China
  2. Anhui Xinhua University ; Hefei ; 230088 ; China
  3. Department of Physics ; Anhui Medical University ; Hefei ; 230032 ; China
  
• 关键词：Probabilistic quantum cloning ; Nonorthogonal states ; Success probability
• 刊名：Quantum Information Processing
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：14
• 期：4
• 页码：1523-1534
• 全文大小：262 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 study the probabilistic cloning of three nonorthogonal states with equal success probabilities. For simplicity, we assume that the three states belong to a special set. Analytical form of the maximal success probability for \(M\rightarrow N\) probabilistic cloning is calculated. With the maximal success probability, we deduce the explicit form of \(M\rightarrow N\) probabilistic quantum cloning machine. In the case of \(1\rightarrow 2\) cloning, we get the unambiguous form of the unitary operation. It is demonstrated that the upper bound for probabilistic quantum cloning machine in (Qiu in J Phys A 35:6931, 2002) can be reached only if the three states are equidistant.