Optimal probabilistic cloning of two linearly independent states with arbitrary probability distribution

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• 作者：Wen Zhang ; Pinshu Rui ; Ziyun Zhang ; Yanlin Liao
• 关键词：Probabilistic quantum cloning ; Optimal success probabilities ; Unitary transformation
• 刊名：Quantum Information Processing
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：15
• 期：2
• 页码：969-979
• 全文大小：665 KB
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• 作者单位：Wen Zhang (1)
  Pinshu Rui (2)
  Ziyun Zhang (1)
  Yanlin Liao (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
  
• 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 investigate the probabilistic quantum cloning (PQC) of two states with arbitrary probability distribution. The optimal success probabilities are worked out for \(1\rightarrow 2\) PQC of the two states. The results show that the upper bound on the success probabilities of PQC in Qiu (J Phys A 35:6931–6937, 2002) cannot be reached in general. With the optimal success probabilities, we design simple forms of \(1\rightarrow 2\) PQC and work out the unitary transformation needed in the PQC processes. The optimal success probabilities for \(1\rightarrow 2\) PQC are also generalized to the \(M\rightarrow N\) PQC case. Keywords Probabilistic quantum cloning Optimal success probabilities Unitary transformation