Canonical Divergence for Measuring Classical and Quantum Complexity
Abstract
A new canonical divergence is put forward for generalizing an informationgeometric measure of complexity for both, classical and quantum systems. On the simplex of probability measures it is proved that the new divergence coincides with the KullbackLeibler divergence, which is used to quantify how much a probability measure deviates from the noninteracting states that are modeled by exponential families of probabilities. On the space of positive density operators, we prove that the same divergence reduces to the quantum relative entropy, which quantifies manyparty correlations of a quantum state from a Gibbs family.
 Publication:

Entropy
 Pub Date:
 April 2019
 DOI:
 10.3390/e21040435
 arXiv:
 arXiv:1903.09797
 Bibcode:
 2019Entrp..21..435F
 Keywords:

 Mathematical Physics;
 Quantum Physics
 EPrint:
 17 pages