Coulomb-assisted braiding of Majorana fermions in a Josephson junction array

Details Coulomb-assisted braiding of Majorana fermions in a Josephson junction array Coulomb-assisted braiding of Majorana fermions in a Josephson junction array

2011-11-25

arxiv.org/abs/1111.6001v1

New J. Phys. 14 (2012) 035019

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1088/1367-2630/14/3/035019

We show how to exchange (braid) Majorana fermions in a network of superconducting nanowires by control over Coulomb interactions rather than tunneling. Even though Majorana fermions are charge-neutral quasiparticles (equal to their own antiparticle), they have an effective long-range interaction through the even-odd electron number dependence of the superconducting ground state. The flux through a split Josephson junction controls this interaction via the ratio of Josephson and charging energies, with exponential sensitivity. By switching the interaction on and off in neighboring segments of a Josephson junction array, the non-Abelian braiding statistics can be realized without the need to control tunnel couplings by gate electrodes. This is a solution to the problem how to operate on topological qubits when gate voltages are screened by the superconductor.

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