MO4.R1.3

Quantum Doeblin coefficients: A simple upper bound on contraction coefficients

Christoph Hirche, Leibniz Universität Hannover, Germany

Session:
Quantum Information 2

Track:
6: Quantum Information and Coding Theory

Location:
Ballroom II & III

Presentation Time:
Mon, 8 Jul, 17:05 - 17:25

Session Chair:
Christoph Hirche, University of Hannover
Abstract
Contraction coefficients give a quantitative strengthening of the data processing inequality. As such, they have many natural applications whenever closer analysis of information processing is required. However, it is often challenging to calculate these coefficients. As a remedy we discuss a quantum generalization of Doeblin coefficients. These give an efficiently computable upper bound on many contraction coefficients. We prove several properties and discuss generalizations and applications. In particular, we give additional stronger bounds. One especially for PPT channels and one for general channels based on a constraint relaxation. Additionally, we introduce reverse Doeblin coefficients that bound certain expansion coefficients.
Resources