A Note on Distances between Probabilistic and Quantum distributions

  • Bart Jacobs
  • Published 2018 in Electr. Notes Theor. Comput. Sci.

Abstract

This paper is about distances between (or, metrics on) probability distributions. It considers the total variation and Kantorovich distance for discrete distributions, and also the trace distance for quantum distributions. Both concrete and abstract results are presented, showing similarities between classical (discrete) probability and quantum probability… (More)
DOI: 10.1016/j.entcs.2018.03.022