BF-theory in graphene: A route toward topological quantum computing?
1 Dipartimento di Matematica “F. Casorati”, Università degli Studi di Pavia - via Ferrata 1, 27100 Pavia, Italy, EU
2 Dipartimento di Fisica, Università degli Studi di Pavia - via Bassi 6, 27100 Pavia, Italy, EU
3 INFN, Sezione di Pavia - via Bassi 6, 27100 Pavia, Italy, EU
Received: 11 November 2011
Accepted: 6 June 2012
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.
PACS: 03.67.-a – Quantum information / 71.10.-w – Theories and models of many-electron systems / 11.15.-q – Gauge field theories
© EPLA, 2012