Topology Atlas | Conferences

Conference on Knot Theory and Its Applications to Physics and Quantum Computing; 60th birthday of Jozef H. Przytycki
January 6-9, 2015
University of Texas at Dallas
Richardson, TX, USA

Organizers
Mieczyslaw K. Dabkowski (UTD) Tobias Hagge (UTD) Valentina S. Harizanov (GWU) Viswanath Ramakrishna (UTD) Radmila Sazdanovic (NCSU) Adam S. Sikora (SUNYUB)

Conference Homepage


Majorana Fermions, Topological Quantum Computing and the Dirac Equation
by
Louis H. Kauffman
Math UIC, 851 South Morgan Street, Chicago, Illinois 60607-7045

We discuss the relationship between Fermions and Majorana Fermions via their fusion and

operator algebras: how Majorana fermions are related to the Fibonacci model of topological

quantum computation via their fusion algebra (work with Sam Lomonaco) and how they are

related to partial topological computation via their operator algebra (Clifford algebra that

generates braid group representations). We discuss how the operator algebra for Fermions

is related to nilpotent solutions to the Dirac equation and speculate about the relationship

of this structure to quantum computing.

Date received: November 26, 2014

Copyright © 2014 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbjz-06.