16 May 2018 Majorana fermions and representations of the artin braid group
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Abstract
In this paper we study unitary braid group representations associated with Majorana Fermions. Majorana Fermions are represented by Majorana operators, elements of a Clifford algebra. The paper recalls and proves a general result about braid group representations associated with Clifford algebras, and compares this result with the Ivanov braiding associated with Majorana operators. The paper generalizes observations of Kauffman and Lomonaco and of Mo-Lin Ge to show that certain strings of Majorana operators give rise to extraspecial 2-groups and to braiding representations of the Ivanov type.
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Louis H. Kauffman, Louis H. Kauffman, } "Majorana fermions and representations of the artin braid group", Proc. SPIE 10660, Quantum Information Science, Sensing, and Computation X, 106600G (16 May 2018); doi: 10.1117/12.2305473; https://doi.org/10.1117/12.2305473
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