Linear maps preserving separability of pure states☆

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Abstract

Linear maps preserving pure states of a quantum system of any dimension are characterized. This is then used to establish a structure theorem for linear maps that preserve separable pure states in multipartite systems. As an application, a characterization of separable pure state preserving affine maps is obtained.

AMS classification

47B49
47N50
47A80

Keywords

Linear maps
Affine maps
Quantum states
Separability
Tensor products

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This work is supported by National Natural Science Foundation of China (11171249 and 11101250) and Youth Foundation of Shanxi Province (2012021004).

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