Time-Evolution of Open Quantum Systems using Quantum and Classical Resources

How an open quantum system evolves in the presence of its environment is crucial to better understanding and improving many processes including the communication of quantum information and the transfer of energy. In the dissipative Markovian regime, energy or information lost by the system is never recovered, however, in the non-Markovian regime, recurrences of quantum properties such as coherences and entanglement can occur. Accurately modeling these recurrences could allow for improved experimental parameter estimation and for the potential control of noise processes in quantum technologies. Here, I will discuss reduced density matrix methods which extend the Kraus mapping formalism to capture non-Markovian dynamics using both classical and quantum computational resources. I will discuss application of these methods to molecular systems, with supporting data from IBM’s Qiskit simulator and devices.