Bathinduced decoherence in finitesize Majorana wires at nonzero temperature
Abstract
Braiding Majorana zeromodes around each other is a promising route towards topological quantum computing. Yet, two competing maxims emerge when implementing Majorana braiding in real systems: On the one hand, perfect braiding should be conducted adiabatically slowly to avoid nontopological errors. On the other hand, braiding must be conducted fast such that decoherence effects introduced by the environment are negligible, which are generally unavoidable in finitesize systems. This competition results in an intermediate time scale for Majorana braiding that is optimal, but generally not errorfree. Here, we calculate this intermediate time scale for a Tjunction of short onedimensional topological superconductors coupled to a bosonic bath that generates fluctuations in the local electric potential, which stem from, e.g., environmental photons or phonons of the substrate. We thereby obtain boundaries for the speed of Majorana braiding with a predetermined gate fidelity. Our results emphasize the general susceptibility of Majoranabased information storage in finitesize systems and can serve as a guide for determining the optimal braiding times in future experiments.
 Publication:

arXiv eprints
 Pub Date:
 September 2020
 arXiv:
 arXiv:2010.00088
 Bibcode:
 2020arXiv201000088B
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 13 pages, 4 figures