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• W3105391208 startingPage "150" @default.
• W3105391208 abstract "We give a simple and physically intuitive necessary and sufficient condition for a map acting on a compact metric space to be mixing (i.e. infinitely many applications of the map transfer any input into a fixed convergency point). This is a generalization of the 'Lyapunov direct method'. First we prove this theorem in topological spaces and for arbitrary continuous maps. Finally we apply our theorem to maps which are relevant in open quantum systems and quantum information, namely quantum channels. In this context, we also discuss the relations between mixing and ergodicity (i.e. the property that there exists only a single input state which is left invariant by a single application of the map) showing that the two are equivalent when the invariant point of the ergodic map is pure." @default.
• W3105391208 created "2020-11-23" @default.
• W3105391208 creator A5025356866 @default.
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• W3105391208 date "2007-05-23" @default.
• W3105391208 modified "2023-10-18" @default.
• W3105391208 title "The generalized Lyapunov theorem and its application to quantum channels" @default.
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• W3105391208 doi "https://doi.org/10.1088/1367-2630/9/5/150" @default.
• W3105391208 hasPublicationYear "2007" @default.
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