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

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 $F(a,b)$ in dimension 6 cannot be extended to a full system of MUBs.

arXiv comment10 pages

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Cited by in corpus (2)

• Comment on 'Product states and Schmidt rank of mutually unbiased bases in dimension six'
• Finite projective planes and the Delsarte LP-bound