Effect of Poisson noise on adiabatic quantum control

TL;DR

This paper derives a master equation for quantum systems under classical Poisson noise, explores its properties, and demonstrates how noise can sometimes enhance adiabatic fidelity.

Contribution

It provides a comprehensive derivation of the master equation for Poisson noise and investigates its effects on adiabatic quantum control, including potential fidelity improvements.

Findings

Fidelity exhibits a dip as noise strength varies.

Strong noise can sometimes increase adiabatic fidelity.

Poisson noise can have constructive effects on quantum control.

Abstract

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 [Jing et al., Phys. Rev. A 89 032110 (2014)] that this type of noise may improve rather than destroy adiabaticity.