Monte Carlo studies of the properties of the Majorana quantum error correction code: is self-correction possible during braiding?

@inproceedings{Pedrocchi2015MonteCS,
  title={Monte Carlo studies of the properties of the Majorana quantum error correction code: is self-correction possible during braiding?},
  author={Fabio L. Pedrocchi and N. E. Bonesteel and David P. DiVincenzo},
  year={2015}
}
The Majorana code is an example of a stabilizer code where the quantum information is stored in a system supporting well-separated Majorana Bound States (MBSs). We focus on one-dimensional realizations of the Majorana code, as well as networks of such structures, and investigate their lifetime when coupled to a parity-preserving thermal environment. We apply the Davies prescription, a standard method that describes the basic aspects of a thermal environment, and derive a master equation in the… Expand
Majorana Braiding with Thermal Noise.
TLDR
This work investigates the self-correcting properties of a network of Majorana wires, in the form of a trijunction, in contact with a parity-preserving thermal environment, and puts a restriction on the degree of self-correction of this specific quantum computing architecture. Expand