A FOURIER ANALYTIC APPROACH TO THE PROBLEM OF MUTUALLY UNBIASED BASES

被引：6

作者：

Matolcsi, Mate ^{[1
]}

机构：

[1] Hungarian Acad Sci, Alfred Renyi Inst Math, H-1364 Budapest, Hungary

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2012年 / 49卷 / 04期

关键词：

Mutually unbiased bases; complex Hadamard matrices; difference sets; Delsarte's method; COMPLEX HADAMARD-MATRICES; STATE DETERMINATION; ORDER; 6; BOUNDS; DIMENSIONS;

D O I：

10.1556/SScMath.49.2012.4.1221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 C-d. It may also yield a proof that no complete system of MUBs exists in some composite dimensions - a long standing open problem.

引用

页码：482 / 491

页数：10

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