State-extended uncertainly relations and tomographic inequalities as quantum system state characteristics
Quantum Physics
2016-11-26 v1
Abstract
Some inequalities for probability vector are discussed. The probability representation of quantum mechanics where the states are mapped onto probability vectors (either finite or infinite dimensional) called the state tomograms is used. Examples of inequalities for qudit tomograms and a state extended uncertainly relation are considered. Tomographic cumulant related to photon state tomographic probability distributions is introduced and it is used as parameter of the state nongaussianity.
Cite
@article{arxiv.1210.0464,
title = {State-extended uncertainly relations and tomographic inequalities as quantum system state characteristics},
author = {V. N. Chernega and V. I. Man'ko},
journal= {arXiv preprint arXiv:1210.0464},
year = {2016}
}
Comments
10 pages, submitted as contributions to Proceedings of conference in Turin, may 2012