THE FIBONACCI MODEL AND THE TEMPERLEY-LIEB ALGEBRA

被引：18

作者：

Kauffman, Louis H. ^{[1
]}

Lomonaco, Samuel J., Jr. ^{[2
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci MC 249, Chicago, IL 60607 USA

[2] Univ Maryland Baltimore Cty, Dept Comp Sci & Elect Engn, Baltimore, MD 21250 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2008年 / 22卷 / 29期

关键词：

Knots; links; braids; quantum computing; unitary transformation; Jones polynomial; Temperley-Lieb algebra;

D O I：

10.1142/S0217979208049303

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We give an elementary construction of the Fibonacci model, a unitary braid group representation that is universal for quantum computation. This paper is dedicated to Professor C. N. Yang, on his 85th birthday.

引用

页码：5065 / 5080

页数：16

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