Non-Markovian quantum input-output networks

Jing Zhang, Yu-xi Liu, Re-Bing Wu, Kurt Jacobs, Franco Nori
2013 Physical Review A. Atomic, Molecular, and Optical Physics  
Quantum input-output response analysis is a useful method for modeling the dynamics of complex quantum networks, such as those for communication or quantum control via cascade connections. Non-Markovian effects have not yet been studied in such networks. Here we extend the Markovian input-output network formalism developed in optical systems to non-Markovian cascaded networks which can be used, e.g., to analyze the input-output response of mesoscopic quantum networks. We use this formalism to
more » ... plore the behavior of superconducting qubit networks, where we examine the effect of finite cavity bandwidths. We also discuss its application to open- and closed-loop control networks, and show how these networks create effective Hamiltonians for the controlled system.
doi:10.1103/physreva.87.032117 fatcat:lhx6md5tmnf37gby5ugexwz7xy