Correlation induced non-Abelian quantum holonomies
Quantum Physics
2011-03-10 v2
Abstract
In the context of two-particle interferometry, we construct a parallel transport condition that is based on the maximization of coincidence intensity with respect to local unitary operations on one of the subsystems. The dependence on correlation is investigated and it is found that the holonomy group is generally non-Abelian, but Abelian for uncorrelated systems. It is found that our framework contains the L\'{e}vay geometric phase [2004 {\it J. Phys. A: Math. Gen.} {\bf 37} 1821] in the case of two-qubit systems undergoing local SU(2) evolutions.
Cite
@article{arxiv.1011.5182,
title = {Correlation induced non-Abelian quantum holonomies},
author = {Markus Johansson and Marie Ericsson and Kuldip Singh and Erik Sjöqvist and Mark S. Williamson},
journal= {arXiv preprint arXiv:1011.5182},
year = {2011}
}
Comments
Minor corrections; journal reference added