Natural Metric for Quantum Information Theory
Quantum Physics
2011-12-23 v2
Abstract
We study in detail a very natural metric for quantum states. This new proposal has two basic ingredients: entropy and purification. The metric for two mixed states is defined as the square root of the entropy of the average of representative purifications of those states. Some basic properties are analyzed and its relation with other distances is investigated. As an illustrative application, the proposed metric is evaluated for 1-qubit mixed states.
Cite
@article{arxiv.0807.0583,
title = {Natural Metric for Quantum Information Theory},
author = {P. W. Lamberti and M. Portesi and J. Sparacino},
journal= {arXiv preprint arXiv:0807.0583},
year = {2011}
}
Comments
v2: enlarged; presented at ISIT 2008 (Toronto)