Tripartite entangled state, tripartite entangled Wigner operator and their generalization to an n-mode case

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• 作者：CuiHong Lü (1)
  DanDan Gu (1)
  HongYi Fan (2)
  YaWei Wang (1)
  
• 关键词：tripartite entangled Wigner operator ; tripartite entangled state ; n ; mode entangled state ; n ; mode entangled Wigner operator ; the IWOP technique
• 刊名：SCIENCE CHINA Physics, Mechanics & Astronomy
• 出版年：2013
• 出版时间：September 2013
• 年：2013
• 卷：56
• 期：9
• 页码：1642-1651
• 全文大小：348KB
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• 作者单位：CuiHong Lü (1)
  DanDan Gu (1)
  HongYi Fan (2)
  YaWei Wang (1)
  
  1. Faculty of Science, Jiangsu University, Zhenjiang, 212013, China
  2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei, 230026, China
  

文摘

For entangled three particles one should treat their wave function as a whole. There is no physical meaning talking about the wave function (or Wigner function) for any one of the tripartite, and therefore considering the entangled Wigner function (Wigner operator) is of necessity. In this paper, we introduce a pair of mutually conjugate tripartite entangled state representations for defining the Wigner operator of entangled tripartite. Its marginal distributions and the Wigner function of the three-mode squeezed vacuum state are presented. Deriving wave function from its corresponding tripartite entangled Wigner function is also discussed. Moreover, through establishing the n-mode entangled state representation, we introduce the n-mode entangled Wigner operator, which would be more generally useful in quantum physics.