Equivalent qubit dynamics under classical and quantum noise

摘要

We focus on the dynamics of quantum systems under classical and quantum noise. We derive exact deterministic master equations describing the average temporal evolution of the quantum system under discrete Markovian classical noise and two sets of master equations under quantum noise.Strikingly, these three equations of motion are shown to be equivalent in the case of classical random telegraph noise and proper quantum environments. Although we utilize the derived equations to achieve high-fidelity one-qubit operations under random telegraph noise, the formalism can also be used to study arbitrary-dimensional quantum systems affected by more general environments.