Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions
Quantum Physics
2009-11-07 v2
Abstract
We establish a mapping between a continuous variable (CV) quantum system and a discrete quantum system of arbitrary dimension. This opens up the general possibility to perform any quantum information task with a CV system as if it were a discrete system of arbitrary dimension. The Einstein-Podolsky-Rosen state is mapped onto the maximally entangled state in any finite dimensional Hilbert space and thus can be considered as a universal resource of entanglement. As an explicit example of the formalism a two-mode CV entangled state is mapped onto a two-qutrit entangled state.
Cite
@article{arxiv.quant-ph/0208116,
title = {Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions},
author = {Caslav Brukner and Myungshik S. Kim and Jian-Wei Pan and Anton Zeilinger},
journal= {arXiv preprint arXiv:quant-ph/0208116},
year = {2009}
}
Comments
4 pages, 1 figure, revised version, an example added