Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint

Abstract

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

LaTeX2e. 8 pages. The title was changed from "Asymptotic Attainment for Quantum Relative Entropy"

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