Classification of real and complex 3-qutrit states
Quantum Physics
2023-05-03 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
In this paper we classify the orbits of the group SL(3,F)^3 on the space F^3\otimes F^3\otimes F^3 for F=C and F=R. This is known as the classification of complex and real 3-qutrit states. We also give an overview of physical theories where these classifications are relevant.
Cite
@article{arxiv.2305.01270,
title = {Classification of real and complex 3-qutrit states},
author = {Sabino Di Trani and Willem A. de Graaf and Alessio Marrani},
journal= {arXiv preprint arXiv:2305.01270},
year = {2023}
}