An Improvement on the Delsarte-Type LP-Bound with Application to MUBs

作者:Matolcsi M*; Weiner M
来源:Open Systems & Information Dynamics, 2015, 22(1): 1550001.
DOI:10.1142/S1230161215500018

摘要

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) in dimension 6 cannot be extended to a full system of MUBs.

  • 出版日期2015-3