Year: 2014
Type: article
Abstract: In this paper, we study the quantum generalisation of the skew divergence, which is a dissimilarity measure between distributions introduced by Lee in the context of natural language processing. We provide an in-depth study of the quantum skew divergence, including its relation to other state distinguishability measures. Finally, we present a number of important applications: new continuity inequalities for the quantum Jensen-Shannon divergence and the Holevo information, and a new and short proof of Bravyi's Small Incremental Mixing conjecture.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.4901039
Author: Koenraad M. R. Audenaert
Institutions: Royal Holloway University of London, Ghent University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
Funder: Fonds Wetenschappelijk Onderzoek
OpenAlex ID: W2107415458