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Proceedings Paper

Majorana fermions and representations of the artin braid group
Author(s): Louis H. Kauffman
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Paper 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.

Paper Details

Date Published: 16 May 2018
PDF: 19 pages
Proc. SPIE 10660, Quantum Information Science, Sensing, and Computation X, 106600G (16 May 2018); doi: 10.1117/12.2305473
Show Author Affiliations
Louis H. Kauffman, Univ. of Illinois at Chicago (United States)


Published in SPIE Proceedings Vol. 10660:
Quantum Information Science, Sensing, and Computation X
Eric Donkor; Michael Hayduk, Editor(s)

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