The Fibonacci Model and the Temperley-Lieb Algebra
Louis H. Kauffman, Samuel J. Lomonaco, Jr
TL;DR
This paper presents an elementary construction of the Fibonacci model, a unitary braid group representation that is universal for quantum computation, highlighting its significance in quantum information theory.
Contribution
It introduces a new, simplified construction of the Fibonacci model, demonstrating its universality for quantum computation.
Findings
Fibonacci model is a universal quantum computational model
Elementary construction simplifies understanding of the Fibonacci model
Supports quantum computation applications
Abstract
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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