  We study a series of dynamical protocols which involve periodically driving a
quantum dot coupled to a putative nanowire hosting Majorana zero modes (MZMs)
to i) reduce the hybridization between MZMs, ii) improve the coherence of the
Majorana qubit with respect to $1/f$ dephasing noise and quasiparticle
poisoning, and iii) provide a definitive test to differentiate Andreev Bound
states (ABSs) from MZMs. The protocols are based on the notion of $draiding$ -
exchanging a pair of Majoranas twice, repeatedly, at high frequency [1]. In
this process, the exchanged Majorana operators acquire a robust minus sign such
that terms in the Hamiltonian, linear in either operator, vanish on average.
The four protocols proposed implement draiding by coupling quantum dot(s) to
the end(s) of the nanowire. They are treated using Floquet theory and numerical
simulations. The hybridization energy and decoherence rate are shown to be
reduced by several orders of magnitude, in accordance with theoretical
expectations, when the protocols are implemented on nanowires described by
experimentally relevant parameters. The tunneling conductance computed in this
Floquet setting reveals zero bias peaks (ZBPs) that become more centered at
zero voltage bias. When these protocols are implemented on nanowires supporting
ABSs that mimic MZMs in ZBP measurements, the qubit coherence $deteriorates$,
in stark contrast to the case where the nanowire supports MZMs and the
coherence drastically improves, thus serving as a dynamical test to distinguish
MZMs from trivial bound states.
