超算符的两种表示

Abstract

Abstract: Super operator is the linear mapping which performs the operator to operator, any super operator has the natural representation and Choi-Jamiolkowski representation, both of them are only dependent on the super-operator itself. In this paper, the natural representation N_φ and Choi-Jamiolkowski representation J_φ of a given super operator φ∈B(B(X)) is discussed, and then the transform relationship between them is established as N_φ=T (J_φ), then some important examples are presented.

Key words: Super operators, Representation, Transformation, Quantum operation

CLC Number:

O177.1

Wang Wenhua, Chen Zhengli, Li Wei. Two Representations of a Super Operator[J].Acta mathematica scientia,Series A, 2017, 37(4): 607-614.

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Two Representations of a Super Operator

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