Circulant matrices, gauss sums and mutually unbiased I. The prime number case
Mathematical Physics
2007-10-31 v1 math.MP
Quantum Physics
Abstract
In this paper, we consider the problem of Mutually Unbiased Bases in prime dimension . It is known to provide exactly mutually unbiased bases. We revisit this problem using a class of circulant matrices. The constructive proof of a set of mutually unbiased bases follows, together with a set of properties of Gauss sums, and of bi-unimodular sequences.
Keywords
Cite
@article{arxiv.0710.5642,
title = {Circulant matrices, gauss sums and mutually unbiased I. The prime number case},
author = {M. Combescure},
journal= {arXiv preprint arXiv:0710.5642},
year = {2007}
}