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物理学报  2004 

The research of properties of the quantum conditonal amplitude operator
量子条件振幅算子性质的研究

Keywords: conditional probability,conditional amplitude operator,von Neumann conditional entropy,condition for separability
条件概率
,条件振幅算子,von,Neumann条件熵,可分性条件

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Abstract:

This paper analyzes the properties of the quantum conditional amplitude operator.This operator plays a role similar to that of the conditional probability in classical information theory.One argues that the spectrum of the conditional operator that characterizes a quantum bipartite system is invariant under local unitary transformations,and shows its inseparability.It is proven that the conditional amplitude operator of a separable state cannot have an eigenvalue exceeding unity.A related separability condition based on the non negativity of the von Neumann conditional entropy is obtained.

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