A fourier analytic approach to the problem of mutually unbiased bases-Reference-Cited by-同舟云学术

A fourier analytic approach to the problem of mutually unbiased bases

Published:2012-12-01 Issue:4 Volume:49 Page:482-491
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
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Author:

Matolcsi Máté¹

Affiliation:

1. 1 Hungarian Academy of Sciences Alfréd Rényi Institute of Mathematics POB 127 H-1364 Budapest Hungary

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 mostd+ 1 MUBs in ℂd. It may also yield a proof that no complete system of MUBs exists in some composite dimensions — a long standing open problem.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.49.2012.4.1221

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