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

By B. Heck, A. Akhmerov, F. Hassler, M.Burrello, C. Beenakker. 2011

265 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/8e58f772585f477187a8885c63a952d43a9ad0d4

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In Atomic and Molecular Physics, and Optics

1. C. Beenakker
2. A. Akhmerov
3. Timo Hyart
4. M. Burrello
5. I. C. Fulga
6. B. Heck
7. N. M. R. Peres
8. K. Novoselov

Citations in the corpus

• Flux-controlled quantum computation with Majorana fermions (2013, background): “[22] shows that braiding has the effect of multiplying the topological qubit state with the matrix”