Collision entropy and optimal uncertainty
Quantum Physics
2012-01-30 v1
Abstract
We propose an alternative measure of quantum uncertainty for pairs of arbitrary observables in the 2-dimensional case, in terms of collision entropies. We derive the optimal lower bound for this entropic uncertainty relation, which results in an analytic function of the overlap of the corresponding eigenbases. Besides, we obtain the minimum uncertainty states. We compare our relation with other formulations of the uncertainty principle.
Cite
@article{arxiv.1112.5903,
title = {Collision entropy and optimal uncertainty},
author = {G. M. Bosyk and M. Portesi and A. Plastino},
journal= {arXiv preprint arXiv:1112.5903},
year = {2012}
}
Comments
The manuscript has been accepted for publication as a Regular Article in Physical Review A