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BIRS Workshop Lecture Videos

Quantum Dynamical Semigroup Generator Induced Digraphs Wiedemann, Alex


In recent years, digraph induced generators of quantum dynamical semigroups have been introduced and studied, particularly in the context of unique relaxation. In this talk we consider the converse construction to show every generator $\mathcal{L}$ naturally gives rise to a digraph $G_\mathcal{L}$. In specialized cases we use properties of $G_\mathcal{L}$ to explicitly compute all invariant states of the semigroup. In the general case we discuss relaxation and the number of invariant states of the semigroup in terms of several other generator induced graphs

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