  Dephasing of spins is a major roadblock to scaling up the size of quantum
computing systems. We explore the possibility of utilizing highly disordered
environments which are in the Many-Body Localized phase to arrest this
dephasing. We embedded 2 `special' spins in such a highly disordered
environment of Heisenberg spins to act as the target qubits and use the
long-time value of the spin-spin correlator $\langle \vec{\sigma}_i \cdot
\vec{\sigma}_j\rangle$ as an order parameter to quantify the transition between
the thermal and MBL phases of this system. It is seen that the dephasing
between spins, as encoded in this correlator, is impeded in a disordered
environment when the system is fully localized. The order parameter yields a
critical exponent, to characterize the transition between the thermal and MBL
phases, that appears to be robust to changes in microscopic parameters of the
system or the choice of pair of spins.
