Modeling noise and error correction for Majorana-based quantum computing

Understand

Majorana-based quantum computing seeks to use the non-local nature of Majorana zero modes to store and manipulate quantum information in a topologically protected way.

• While noise is anticipated to be significantly suppressed in such systems, finite temperature and system size result in residual errors.
• In this work, we connect the underlying physical error processes in Majorana-based systems to the noise models used in a fault tolerance analysis.
• Standard qubit-based noise models built from Pauli operators do not capture leading order noise processes arising from quasiparticle poisoning events, thus it is not obvious {\it a priori} that such noise models can be usefully applied to a Majorana-based system.