Orbits of mutually unbiased bases

被引：8

作者：

Blanchfield, Kate ^{[1
]}

机构：

[1] Stockholms Univ, SE-10691 Stockholm, Sweden

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 13期

关键词：

mutually unbiased bases; Weyl-Heisenberg group; Clifford group;

D O I：

10.1088/1751-8113/47/13/135303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We express Alltop's construction ofmutually unbiased bases as orbits under the Weyl-Heisenberg group in prime dimensions and find a related construction in dimensions 2 and 4. We reproduce Alltop's mutually unbiased bases using abelian subgroups of the Clifford group in prime dimensions, in direct analogy to the well-known construction of mutually unbiased bases using abelian subgroups of the Weyl-Heisenberg group. Finally, we prove three theorems relating to the distances and linear dependencies among different sets of mutually unbiased bases.

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页数：15

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