A fourier analytic approach to the problem of mutually unbiased bases

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We give a new approach to the problem of mutually unbiased bases (MUBs), based on a Fourier analytic technique borrowed from additive combinatorics. The method provides a short and elegant generalization of the fact that there are at most d + 1 MUBs in d. It may also yield a proof that no complete system of MUBs exists in some composite dimensions - a long standing open problem.

Original languageEnglish
Pages (from-to)482-491
Number of pages10
JournalStudia Scientiarum Mathematicarum Hungarica
Volume49
Issue number4
DOIs
Publication statusPublished - Dec 1 2012

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Mutually Unbiased Bases
Additive Combinatorics
Open Problems
Composite

Keywords

  • complex Hadamard matrices
  • Delsarte's method
  • difference sets
  • Mutually unbiased bases
  • Primary 15A30
  • Secondary 05B10, 47L05

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A fourier analytic approach to the problem of mutually unbiased bases. / Matolcsi, M.

In: Studia Scientiarum Mathematicarum Hungarica, Vol. 49, No. 4, 01.12.2012, p. 482-491.

Research output: Contribution to journalArticle

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