Fidelity of Mobius matrices related with Lorentz boosts
Mathematical Physics
2013-10-09 v1 math.MP
Abstract
In this article we consider the extended version of a real counterpart of qubit density matrices, called the M\"obius matrix, and we see that it is a normalized Lorentz boost. Using the isomorphic gyrogroup structures between the set of all Lorentz boosts and the Einstein gyrogroup on the open unit ball of we give an explicit formula of the fidelity for M\"obius matrices in terms of Lorentz gamma factors.
Keywords
Cite
@article{arxiv.1310.1981,
title = {Fidelity of Mobius matrices related with Lorentz boosts},
author = {Sejong Kim},
journal= {arXiv preprint arXiv:1310.1981},
year = {2013}
}
Comments
10 pages PACS: 03.30.+p, 02.20.-a, 06.20.F- Keywords: Mobius matrix, Lorentz boost, gyrogroup, Lorentz gamma factor, fidelity