The Fibonacci Model and the Temperley-Lieb Algebra

被引：0

作者：

Kauffman, Louis H. ^{[1
]}

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

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci MC 249, 851 S Morgan St, Chicago, IL 60607 USA

[2] Univ Maryland, Baltimore, MD 21201 USA

来源：

QUANTUM INFORMATION AND COMPUTATION VII | 2009年 / 7342卷

关键词：

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

D O I：

10.1117/12.817313

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We give an elementary construction of the Fibonacci model, a unitary braid group representation that is universal for quantum computation.

引用

页数：13

共 21 条

[1]

AHARONOV D, QUANTPH0511096

[2]

FREEDMAN M, 2001, QUANTPH0110060V1

[3]

Freedman M., 1998, TOPOLOGICAL VIEWS CO, P453

[4]

FREEDMAN M, 2000, QUANTPH0001108V2

[5] Simulation of topological field theories by quantum computers [J].

Freedman, MH ;

Kiataev, A ;

Wang, ZH .

[6]

FREEDMAN MH, QUANTPH0003128

[7] A POLYNOMIAL INVARIANT FOR KNOTS VIA VONNEUMANN-ALGEBRAS [J].

JONES, VFR .

[8]

Kauffman L., 2002, QUANTUM COMPUTATION, V305, P101

[9]

Kauffman L.H., 2007, P SOC PHOTO-OPT INS

[10]

Kauffman L. H., 2006, P SOC PHOTO-OPT INS, V6244