Metrics induced by Jensen-Shannon and related divergences on positive definite matrices

@article{Sra2019MetricsIB,
  title={Metrics induced by Jensen-Shannon and related divergences on positive definite matrices},
  author={Suvrit Sra},
  journal={Linear Algebra and its Applications},
  year={2019}
}
  • S. Sra
  • Published 6 November 2019
  • Computer Science
  • Linear Algebra and its Applications

Holevo skew divergence for the characterization of information backflow

TLDR
This work points to the Holevo quantity as a distinguished quantum divergence to which the formalism can be applied, and shows how several distinct quantifiers of non-Markovianity can be related to each other within this general framework.

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Metrics Induced by Quantum Jensen-Shannon-Renyí and Related Divergences

  • S. Sra
  • Computer Science
    ArXiv
  • 2019
TLDR
This work proves that the square root of symmetric divergences on Hermitian positive definite matrices generated by functions closely related to Pick-Nevanlinna functions is a distance metric.

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  • S. Sra
  • Mathematics
    Proceedings of the American Mathematical Society
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Quasi-entropies for finite quantum systems

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Abstract : If one observes the real random variables Xi, Xn independently normally distributed with unknown means xi...x in and variance 1, it is customary to estimate xi by Xi. If the loss is the

Nonnegative Matrices and Applications

Preface 1. Perron-Frobenius theory and matrix games 2. Doubly stochastic matrices 3. Inequalities 4. Conditionally positive definite matrices 5. Topics in combinatorial theory 6. Scaling problems and