Fidelity of Mobius matrices related with Lorentz boosts
arXiv:1310.1981
Abstract
In this article we consider the extended version of a real counterpart of qubit density matrices, called the Möbius matrix, and we see that it is a normalized Lorentz boost. Using the isomorphic gyrogroup structures between the set $\PP$ of all Lorentz boosts and the Einstein gyrogroup on the open unit ball $\B$ of we give an explicit formula of the fidelity for Möbius matrices in terms of Lorentz gamma factors.
10 pages PACS: 03.30.+p, 02.20.-a, 06.20.F- Keywords: Mobius matrix, Lorentz boost, gyrogroup, Lorentz gamma factor, fidelity