Quaternionic quantum mechanics allows non-local boxes
Quantum Physics
2009-11-10 v1
Abstract
We consider non-local properties of quanternionic quantum mechanics, in which the complex numbers are replaced by the quaternions as the underlying algebra. Specifically, we show that it is possible to construct a non-local box. This allows one to rule out quaternionic quantum mechanics using assumptions about communication complexity or information causality.
Cite
@article{arxiv.0911.1761,
title = {Quaternionic quantum mechanics allows non-local boxes},
author = {Matthew McKague},
journal= {arXiv preprint arXiv:0911.1761},
year = {2009}
}