R\'enyi entropy uncertainty relation for successive projective measurements
Quantum Physics
2015-04-14 v2
Abstract
We investigate the uncertainty principle for two successive projective measurements in terms of R\'enyi entropy based on a single quantum system. Our results cover a large family of the entropy (including the Shannon entropy) uncertainty relations with a lower optimal bound. We compare our relation with other formulations of the uncertainty principle in a two-spin observables measured on a pure quantum state of qubit. It is shown that the low bound of our uncertainty relation has better tightness.
Keywords
Cite
@article{arxiv.1411.7448,
title = {R\'enyi entropy uncertainty relation for successive projective measurements},
author = {Jun Zhang and Yang Zhang and Chang-shui Yu},
journal= {arXiv preprint arXiv:1411.7448},
year = {2015}
}
Comments
13pages,4figures, Quantum Inf Process(2015)