Dynamical protocols to improve majoranas and distinguish from trivial zero modes II.*

We discuss using the dynamical protocols proposed in Ref. [1], to distinguish between majorana zero modes and trivial bound states. The dynamical protocols can be shown to suppress low-frequency noise, both from quasiparticle poisoning, and dephasing. The latter in particular is expected to play an important role in determining the properties of majorana zero modes realized in one-dimensional wires. We demonstrate using analytical arguments and numerically, that decoherence due to dephasing noise is strongly suppressed in case when the wire features majorana zero modes but has no effect in the case of Andreev Bound States. We thus anticipate that such protocols could be used as better tests of the presence of majorana zero modes as opposed to tunneling conductance measurements.

[1] I. Martin and K. Agarwal, PRX. Quantum 1, 020324 (2020).