THE MONOMIAL REPRESENTATIONS OF THE CLIFFORD GROUP

被引：0

作者：

Appleby, D. M. ^{[1
]}

Bengtsson, Ingemar ^{[2
]}

Brierley, Stephen ^{[3
,4
]}

Grassl, Markus ^{[5
]}

Gross, David ^{[6
]}

Larsson, Jan-Ake ^{[7
]}

机构：

[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

[2] Stockholms Univ, S-10691 Stockholm, Sweden

[3] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England

[4] Univ Libre Bruxelles, QuIC, Ecole Polytech, B-1050 Brussels, Belgium

[5] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore

[6] ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland

[7] Linkopings Univ, Inst Syst Teknik, S-58183 Linkoping, Sweden

来源：

QUANTUM INFORMATION & COMPUTATION | 2012年 / 12卷 / 5-6期

基金：

瑞典研究理事会; 瑞士国家科学基金会;

关键词：

Clifford group; SIC POVM; Representation; DYNAMICS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that the Clifford group-the normaliser of the Weyl-Heisenberg group-can be represented by monomial phase-permutation matrices if and only if the dimension is a square number. This simplifies expressions for SIC vectors, and has other applications to SICs and to Mutually Unbiased Bases. Exact solutions for SICs in dimension 16 are presented for the first time.

引用

页码：404 / 431

页数：28

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