Product Bases in Quantum Information Theory
Quantum Physics
2007-05-23 v1
Abstract
We review the role of product bases in quantum information theory. We prove two conjectures which were made in DiVincenzo et al., quant-ph/9908070, namely the existence of two sets of bipartite unextendible product bases, in arbitrary dimensions, which are based on a tile construction. We pose some questions related to complete product bases.
Keywords
Cite
@article{arxiv.quant-ph/0008055,
title = {Product Bases in Quantum Information Theory},
author = {David P. DiVincenzo and Barbara M. Terhal},
journal= {arXiv preprint arXiv:quant-ph/0008055},
year = {2007}
}
Comments
9 pages, 4 figures; submitted to the Proceedings of the XIII International Congress on Mathematical Physics