Effect of Poisson noise on adiabatic quantum control

We present a detailed derivation of the master equation describing a general time-dependent quantum system with classical Poisson white noise and outline its various properties. We discuss the limiting cases of Poisson white noise and provide approximations for the different noise strength regimes. We show that using the eigenstates of the noise superoperator as a basis can be a useful way of expressing the master equation. Using this, we simulate various settings to illustrate different effects of Poisson noise. In particular, we show a dip in the fidelity as a function of noise strength where high fidelity can occur in the strong-noise regime for some cases. We also investigate recent claims [J. Jing, Phys. Rev. A 89, 032110 (2014)PLRAAN1050-294710.1103/PhysRevA.89.032110] that this type of noise may improve rather than destroy adiabaticity.