Mutually unbiased bases and finite projective planes

被引：72

作者：

Saniga, M ^{[1
]}

Planat, M

Rosu, H

机构：

[1] Slovak Acad Sci, Inst Astron, Tatranska Lomnica 05960, Slovakia

[2] CNRS, Dept LPMO, Inst FEMTO ST, F-25044 Besancon, France

[3] IPICyT, Dept Appl Math, San Luis Potosi, Mexico

来源：

JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS | 2004年 / 6卷 / 09期

关键词：

mutually unbiased bases; MUBs; finite projective planes; Hopf fibrations;

D O I：

10.1088/1464-4266/6/9/L01

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

It is conjectured that the question of the existence of a set of d + I mutually unbiased bases in a d-dimensional Hilbert space if d differs from a power of a prime number is intimately linked with the problem of whether there exist projective planes whose order d is not a power of a prime number.

引用

页码：L19 / L20

页数：2

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