Entropic uncertainty relation for pointer-based simultaneous measurements of conjugate observables
Quantum Physics
2013-01-28 v1
Abstract
We present a family of entropic uncertainty relations for pointer-based simultaneous measurements of conjugate observables. The lower bounds of these relations explicitly incorporate the influence of the measurement apparatus. We achieve this by using a mathematical theorem which states that the information entropy of convoluted probability distributions is bound from below. As a consequence of these results we can straightforwardly show that appropriately squeezed states are minimal entropy states for simultaneous measurements.
Cite
@article{arxiv.1301.6005,
title = {Entropic uncertainty relation for pointer-based simultaneous measurements of conjugate observables},
author = {Raoul Heese and Matthias Freyberger},
journal= {arXiv preprint arXiv:1301.6005},
year = {2013}
}