Based on the Wigner operator in the entangled state representation we study some new important propertiesof Wigner function for bipartite entangled systems,such as size of an entangled state,upper bound of Wigner func...Based on the Wigner operator in the entangled state representation we study some new important propertiesof Wigner function for bipartite entangled systems,such as size of an entangled state,upper bound of Wigner functions,etc.These discussions demonstrate the beauty and elegance of the entangled state representation.展开更多
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 th...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.展开更多
基金Supported by the President Foundation of Chinese Academy of ScienceApecialized Research Fund for the Doctorial Progress of Higher EducationNational Natural Science Foundation of China under Grant Nos.10874174 and 10947017/A05
文摘Based on the Wigner operator in the entangled state representation we study some new important propertiesof Wigner function for bipartite entangled systems,such as size of an entangled state,upper bound of Wigner functions,etc.These discussions demonstrate the beauty and elegance of the entangled state representation.
基金supported by the Postdoctoral Science Foundation of Jiangsu Province (Grant No.1202012B)the Research Fund for Advanced Talents of Jiangsu University (Grant No.1281190029)
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.