Majorana fermions and non-locality
(pp0981-0995)
Earl T.
Campbell, Matty J. Hoban, and Jens Eisert
doi:
https://doi.org/10.26421/QIC14.11-12-6
Abstracts:
Localized Majorana fermions emerge in many topologically
ordered systems and exhibit exchange statistics of Ising anyons. This
enables noise-resistant implementation of a limited set of operations by
braiding and fusing Majorana fermions. Unfortunately, these operations
are incapable of implementing universal quantum computation. We show
that, regardless of these limitations, Majorana fermions could be used
to demonstrate non-locality (correlations incompatible with a local
hidden variable theory) in experiments using only topologically
protected operations. We also demonstrate that our proposal is optimal
in terms of resources, with 10 Majorana fermions shown to be both
necessary and sufficient for demonstrating bipartite non-locality.
Furthermore, we identify severe restrictions on the possibility of
tripartite non-locality. We comment on the potential of such entangled
systems to be used in quantum information protocols.
Key words:
Majorana, Ising anyons, Nonlocality |