Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal

Details Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal

2008-10-16

arxiv.org/abs/0810.2920v1

Phys.Lett.A372:6965-6974,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 4 figures

Scientific paper

10.1016/j.physleta.2008.10.005

Recently a one-dimensional closed ladder of Josephson junctions has been studied (G. Cristofano et al., Phys. Lett. A 372 (2008) 2464) within a twisted conformal field theory (CFT) approach (G. Cristofano et al., Mod. Phys. Lett. A 15 (2000) 1679; Nucl. Phys. B 641 (2002) 547) and shown to develop the phenomenon of flux fractionalization (G. Cristofano et al., Eur. Phys. J. B 49 (2006) 83). That led us to predict the emergence of a topological order in such a system (G. Cristofano et al., JSTAT (2005) P03006). In this letter we analyze the ground states and the topological properties of fully frustrated Josephson junction arrays (JJA) arranged in a Corbino disk geometry for a variety of boundary conditions. In particular minimal configurations of fully frustrated JJA are considered and shown to exhibit the properties needed in order to build up a solid state qubit, protected from decoherence. The stability and transformation properties of the ground states of the JJA under adiabatic magnetic flux changes are analyzed in detail in order to provide a tool for the manipulation of the proposed qubit.

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