Mutually unbiased bases as submodules and subspaces
Combinatorics
2012-06-05 v1 Information Theory
math.IT
Quantum Physics
Abstract
Mutually unbiased bases (MUBs) have been used in several cryptographic and communications applications. There has been much speculation regarding connections between MUBs and finite geometries. Most of which has focused on a connection with projective and affine planes. We propose a connection with higher dimensional projective geometries and projective Hjelmslev geometries. We show that this proposed geometric structure is present in several constructions of MUBs.
Keywords
Cite
@article{arxiv.1206.0531,
title = {Mutually unbiased bases as submodules and subspaces},
author = {Joanne L. Hall and Jan Stovicek},
journal= {arXiv preprint arXiv:1206.0531},
year = {2012}
}
Comments
5 pages. Accepted to ISIT2012