Quantum limit in continuous quantum measurement
Quantum Physics
2012-04-11 v2
Abstract
An inequality about quantum noise is presented with the imprecise measurement theory, which is used to analyse the quantum limit in continuous quantum measurement. Different from the linear-response approach based on the quantum relation between noise and susceptibilities of the detector, we provide an explicit functional relation between quantum noise and reduction operator, and show a rigorous result: The minimum noise added by the detector in quantum measurement is precisely equal to the zero-point noise. This conclusion generalizes the standard Haus-Caves quantum limit for a linear amplifier. We also discuss the statistic characters of the back-action force in quantum measurement and show on how to reach the quantum limit.
Cite
@article{arxiv.1202.4065,
title = {Quantum limit in continuous quantum measurement},
author = {ChengGang Shao},
journal= {arXiv preprint arXiv:1202.4065},
year = {2012}
}
Comments
18 pages