Distribution of Standard deviation of an observable among superposed states
Quantum Physics
2016-12-20 v2
Abstract
The standard deviation (SD) quantifies the spread of the observed values on a measurement of an observable. In this paper, we study the distribution of SD among the different components of a superposition state. It is found that the SD of an observable on a superposition state can be well bounded by the SDs of the superposed states. We also show that the bounds also serve as good bounds on coherence of a superposition state. As a further generalization, we give an alternative definition of incompatibility of two observables subject to a given state and show how the incompatibility subject to a superposition state is distributed.
Keywords
Cite
@article{arxiv.1607.08000,
title = {Distribution of Standard deviation of an observable among superposed states},
author = {Chang-shui Yu and Ting-ting Shao and Dong-mo Li},
journal= {arXiv preprint arXiv:1607.08000},
year = {2016}
}
Comments
14 pages, 3 figures, misprints are revised