Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors

Abstract

It is well known that Majorana zero modes can be harnessed for applications in topological quantum computation. Transitions away from the ground-state subspace, where computations are performed, are detrimental. The authors study the diabatic error which quantifies these transitions as Majorana zero modes are transported across a superconducting wire. Using the `piano key' approach for transport, the authors find that there exists an optimal number of keys which reduces the diabatic error.

Topics & Concepts