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THE FIBONACCI MODEL AND THE TEMPERLEY-LIEB ALGEBRA

Department of Mathematics, Statistics and Computer Science (m/c 249), 851 South Morgan Street, University of Illinois at Chicago, Chicago, Illinois 60607-7045, USA

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and

SAMUEL J. LOMONACO, JR.

Department of Computer Science and Electrical Engineering, University of Maryland Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250, USA

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https://doi.org/10.1142/S0217979208049303Cited by:12 (Source: Crossref)

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 85th birthday.

This paper will also appear in the Proceedingsof the Conference in Honor of C. N. Yang's 85th Birthday, to be published by World Scientific and NTU.

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