Journal of Physics A Mathematical and General

Complex positive maps and quaternionic unitary evolution

M. Asorey, G. Scolarici

Published Jul 19, 2006• 11 citations

Abstract

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.

DOI: 10.1088/0305-4470/39/31/005

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