Discord and entanglement of two-particle quantum walk on cycle graphs

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• 作者：J. P. J. Rodriguez (1)
  Z. J. Li (1) (2)
  J. B. Wang (1)
  
  1. School of Physics ; The University of Western Australia ; Crawley ; WA ; 6009 ; Australia
  2. Institute of Theoretical Physics ; Shanxi University ; Taiyuan ; 030006 ; China
  
• 关键词：Quantum walk ; Discord ; Entanglement ; Cycle graph
• 刊名：Quantum Information Processing
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：14
• 期：1
• 页码：119-133
• 全文大小：737 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

In this paper, we investigate the dynamics of quantum discord and entanglement between the coin states of two quantum walkers on cycle graphs of various size in discrete time. For a few special cycle sizes, we obtained analytical solutions showing the origin of perfect periodic recurrence of quantum discord and entanglement. We found that the time evolution of such quantum correlations becomes increasingly complex when we introduce local interactions between the two walkers by applying an additional phase to the coin operator when they are at the same node. The effects of the interaction strength on the dynamics of the quantum discord and entanglement are studied in detail.