The Fibonacci Model and the Temperley-Lieb Algebra

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 85-th birthday.

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Bibliographic Details
Published in:arXiv.org 2008-04
Main Authors: Kauffman, Louis H, Lomonaco, Samuel J, Jr
Format: Article
Language:English
Subjects:
Braid theory
Quantum computing
Online Access:Get full text
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Description
Summary: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 85-th birthday.
ISSN:2331-8422
DOI:10.48550/arxiv.0804.4304