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

TL;DR

This paper explores the potential of engineering graphene sheets to support topological quantum computing at room temperature by modeling their effective action with a BF-type topological quantum field theory capable of supporting non-Abelian anyons.

Contribution

It proposes a novel theoretical framework linking graphene's effective action to BF-type topological quantum field theory for quantum computing.

Findings

Graphene can potentially support non-Abelian anyon dynamics.

BF-theory models may enable room-temperature topological quantum processing.

The approach offers a new pathway for fault-tolerant quantum computation.

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 modeling 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.