Graphical description of the action of local Clifford transformations on graph states
Quantum Physics
2009-11-10 v2
Abstract
We translate the action of local Clifford operations on graph states into transformations on their associated graphs - i.e. we provide transformation rules, stated in purely graph theoretical terms, which completely characterize the evolution of graph states under local Clifford operations. As we will show, there is essentially one basic rule, successive application of which generates the orbit of any graph state under local unitary operations within the Clifford group.
Keywords
Cite
@article{arxiv.quant-ph/0308151,
title = {Graphical description of the action of local Clifford transformations on graph states},
author = {Maarten Van den Nest and Jeroen Dehaene and Bart De Moor},
journal= {arXiv preprint arXiv:quant-ph/0308151},
year = {2009}
}
Comments
8 pages, 1 figure. Former title: "The evolution of graph states under local Clifford operations as graph transformations". Replaced with revised version. Minor changes. To appear in Phys. Rev. A