Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint
Masahito Hayashi
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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