Majorana fermions and representations of the artin braid group

Louis H. Kauffman

doi:10.1117/12.2305473

16 May 2018 Majorana fermions and representations of the artin braid group

Louis H. Kauffman

Proceedings Volume 10660, Quantum Information Science, Sensing, and Computation X; 106600G (2018) https://doi.org/10.1117/12.2305473
Event: SPIE Commercial + Scientific Sensing and Imaging, 2018, Orlando, FL, United States

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.

Conference Presentation

Citation Download Citation

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); https://doi.org/10.1117/12.2305473

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