Kavli Affiliate: Michael Wimmer
| First 5 Authors: Sebastian Miles, Francesco Zatelli, A. Mert Bozkurt, Michael Wimmer, Chun-Xiao Liu
| Summary:
Exchanging the positions of two non-Abelian anyons transforms between
many-body wavefunctions within a degenerate ground-state manifold. This
behavior is fundamentally distinct from fermions, bosons and Abelian anyons.
Recently, quantum dot-superconductor arrays have emerged as a promising
platform for creating topological Kitaev chains that can host non-Abelian
Majorana zero modes. In this work, we propose a minimal braiding setup in a
linear array of quantum dots consisting of two minimal Kitaev chains coupled
through an ancillary, normal quantum dot. We focus on the physical effects that
are peculiar to quantum dot devices, such as interdot Coulomb repulsion and
residual single electron tunneling. We find that the errors caused by either of
these effects can be efficiently mitigated by optimal control of the ancillary
quantum dot that mediates the exchange of the non-Abelian anyons. Moreover, we
propose experimentally accessible methods to find this optimal operating regime
and predict signatures of a successful Majorana braiding experiment.
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