Quantum smoother for open quantum systems driven by quantum jump-diffusion processes

Abstract

In this paper, we develop a quantum smoothing theory to the class of open quantum systems driven by quantum jump-diffusion processes. A quantum smoothing theory, which is derived in a different senses by different researchers, has been applied for diffusive quantum Markovian systems, however, they only deal with quantum Wiener noises. We show how to derive the quantum smoother for quantum dynamical systems driven by quantum jump-diffusion noises.