Entropy and the uncertainty principle
Mathematical Physics
2015-05-30 v1 Functional Analysis
math.MP
Abstract
We generalize, improve and unify theorems of Rumin, and Maassen--Uffink about classical entropies associated to quantum density matrices. These theorems refer to the classical entropies of the diagonals of a density matrix in two different bases. Thus they provide a kind of uncertainty principle. Our inequalities are sharp because they are exact in the high-temperature or semi-classical limit.
Cite
@article{arxiv.1109.1209,
title = {Entropy and the uncertainty principle},
author = {Rupert L. Frank and Elliott H. Lieb},
journal= {arXiv preprint arXiv:1109.1209},
year = {2015}
}
Comments
6 pages