Circulant matrices, gauss sums and mutually unbiased I. The prime number case
arXiv:0710.5642
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.