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

Details Circulant matrices, gauss sums and mutually unbiased I. The prime number case Circulant matrices, gauss sums and mutually unbiased I. The prime number case

2007-10-30

arxiv.org/abs/0710.5642v1

Physics

Mathematical Physics

Scientific paper

In this paper, we consider the problem of Mutually Unbiased Bases in prime
dimension $d$. It is known to provide exactly $d+1$ mutually unbiased bases. We
revisit this problem using a class of circulant $d \times d$ matrices. The
constructive proof of a set of $d+1$ mutually unbiased bases follows, together
with a set of properties of Gauss sums, and of bi-unimodular sequences.

Affiliated with

Also associated with

No associations

Rating

Circulant matrices, gauss sums and mutually unbiased I. The prime number case does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Circulant matrices, gauss sums and mutually unbiased I. The prime number case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Circulant matrices, gauss sums and mutually unbiased I. The prime number case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-365382