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arxiv: 1210.2155 · v2 · submitted 2012-10-08 · 🪐 quant-ph · math.FA· math.OA

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Linear maps preserving separability of pure states

Jinchuan Hou , Xiaofei Qi
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classification 🪐 quant-ph math.FAmath.OA
keywords mapspurelinearpreservingstatesseparableaffineapplication
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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.

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