复正映射与四元数酉演化

Journal of physics A: Mathematical and general Pub Date : 2006-08-04 DOI:10.1088/0305-4470/39/31/005

M. Asorey, G. Scolarici

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引用次数: 8

摘要

任意n维四元一元动力学的复投影定义了一个单参数正半群动力学。我们证明了反之也成立，即任何具有极大秩的复密度矩阵的单参数正半群动力学都可以作为合适的四元数酉动力学的复投影得到。

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Complex positive maps and quaternionic unitary evolution

The complex projection of any n-dimensional quaternionic unitary dynamics defines a one-parameter positive semigroup dynamics. We show that the converse is also true, i.e. that any one-parameter positive semigroup dynamics of complex density matrices with maximal rank can be obtained as the complex projection of suitable quaternionic unitary dynamics.

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Journal of physics A: Mathematical and general

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