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Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint

Masahito Hayashi
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Abstract

In this paper it was proved that the quantum relative entropy $D(σ\| ρ)$ can be asymptotically attained by Kullback Leibler divergences of probabilities given by a certain sequence of POVMs. The sequence of POVMs depends on $ρ$, but is independent of the choice of $σ$.

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Masahito Hayashi. 1999-12-22. Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint. https://doi.org/10.1088/0305-4470%2F34%2F16%2F309

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