Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint

Details Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint

1997-04-24

arxiv.org/abs/quant-ph/9704040v6

J.Phys.A34:3413-3419,2001

Physics

Quantum Physics

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

Scientific paper

10.1088/0305-4470/34/16/309

In this paper it was proved that the quantum relative entropy $D(\sigma \|
\rho)$ 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 $\sigma$.

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