BF-theory in graphene: A route toward topological quantum computing?

2011/11/30 by Annalisa Marzuoli, Giandomenico Palumbo · 1 citation
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Anyon #Computation #Computer science #Graphene #Graphene research and applications #Materials science #Mathematics #Nanotechnology #Physics #Quantum #Quantum computer #Quantum decoherence #Quantum mechanics #Topological Materials and Phenomena #Topological and Geometric Data Analysis #Topological quantum computer #Topology (electrical circuits) #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1209/0295-5075/99/10002

published as Europhysics Letters 99, 10002 (2012) · Slightly expanded version: added comments in introduction and concluding remarks; results unchanged. Europhysics Letters, in press 2012

arxiv created 2012/06/11 · openalex publication_date 2012/07/01 · arxiv updated 2012/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Besides the plenty of applications of graphene allotropes in condensed matter and nanotechnology, we argue that graphene sheets might be engineered to support room temperature topological quantum processing of information. The argument is based on the possibility of modelling the monolayer graphene effective action by means of a 3d topological quantum field theory of BF type able to sustain non-Abelian anyon dynamics. This feature is the basic requirement of recently proposed theoretical frameworks for fault-tolerant and decoherence protected quantum computation.

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