A new quantum version of f-divergence

@article{Matsumoto2013ANQ,
  title={A new quantum version of f-divergence},
  author={Keiji Matsumoto},
  journal={arXiv: Quantum Physics},
  year={2013}
}
This paper proposes and studies new quantum version of $f$-divergences, a class of convex functionals of a pair of probability distributions including Kullback-Leibler divergence, Rnyi-type relative entropy and so on. There are several quantum versions so far, including the one by Petz. We introduce another quantum version ($\mathrm{D}_{f}^{\max}$, below), defined as the solution to an optimization problem, or the minimum classical $f$- divergence necessary to generate a given pair of quantum… Expand
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