Study of quantum correlation swapping with relative entropy methods

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• 作者：Chuanmei Xie ; Yimin Liu ; Jianlan Chen ; Zhanjun Zhang
• 关键词：Quantum correlation swapping ; Three relative entropy ; based methods ; Werner state
• 刊名：Quantum Information Processing
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：15
• 期：2
• 页码：809-832
• 全文大小：644 KB
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• 作者单位：Chuanmei Xie (1)
  Yimin Liu (2)
  Jianlan Chen (1)
  Zhanjun Zhang (1)
  
  1. School of Physics and Material Science, Anhui University, Hefei, 230039, Anhui, China
  2. Department of Physics, Shaoguan University, Shaoguan, 512005, 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

To generate long-distance shared quantum correlations (QCs) for information processing in future quantum networks, recently we proposed the concept of QC repeater and its kernel technique named QC swapping. Besides, we extensively studied the QC swapping between two simple QC resources (i.e., a pair of Werner states) with four different methods to quantify QCs (Xie et al. in Quantum Inf Process 14:653–679, 2015). In this paper, we continue to treat the same issue by employing other three different methods associated with relative entropies, i.e., the MPSVW method (Modi et al. in Phys Rev Lett 104:080501, 2010), the Zhang method (arXiv:​1011.​4333 [quant-ph]) and the RS method (Rulli and Sarandy in Phys Rev A 84:042109, 2011). We first derive analytic expressions of all QCs which occur during the swapping process and then reveal their properties about monotonicity and threshold. Importantly, we find that a long-distance shared QC can be generated from two short-distance ones via QC swapping indeed. In addition, we simply compare our present results with our previous ones. Keywords Quantum correlation swapping Three relative entropy-based methods Werner state