English

An improvement on the Delsarte-type LP-bound with application to MUBs

Combinatorics 2015-06-23 v1

Abstract

The linear programming (LP) bound of Delsarte can be applied to several problems in various branches of mathematics. We describe a general Fourier analytic method to get a slight improvement on this bound. We then apply our method to the problem of mutually unbiased bases (MUBs) to prove that the Fourier family F(a,b)F(a,b) in dimension 6 cannot be extended to a full system of MUBs.

Keywords

Cite

@article{arxiv.1409.7194,
  title  = {An improvement on the Delsarte-type LP-bound with application to MUBs},
  author = {M. Matolcsi and M. Weiner},
  journal= {arXiv preprint arXiv:1409.7194},
  year   = {2015}
}

Comments

10 pages