Entropic upper bound for Bayes risk in the quantum case

  1. Rafał Wieczorek
  2. Hanna Podsędkowska

Abstract

The entropic upper bound for Bayes risk in a general quantum case is presented. We obtained generalization of the entropic lower bound for probability of detection. Our result indicates upper bound for Bayes risk (in a particular case of loss function – for probability of detection) in a pretty general setting of an arbitrary finite von Neumann algebra. It is also shown under which condition the indicated upper bound is achieved.

 

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Probability and Mathematical Statistics

38, z. 2, 2018

Pages from 429 to 440

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