Quantum computing and quantum information approach to quantum dynamics in condensed phase

Many important condensed phase processes can be characterized as quantum mechanical particles of a small degrees of freedom interacting with its thermall bath, ranging from charge transfer in solutions and enzymes to exciton migration in semiconducting polymers and molecular aggregates. As the full space simulation is prohibitively expensive, one usually focuses only on the dynamics of the quantum particles, and traces out the bath's degrees of freedom. This leads to an open quantum system approach. When only focusing on the subsystem, the dynamics is in general non-Markovian. Due to this time non-local interaction, the scaling is usually exponential on classical computers with repespect to propagation time. On the other hand, quantum computer simulation of quantum dynamics might offer an advantage. I will present the quantum algorithms we developed in my group that can capture the exact non-Markovian dynamics, and apply it to charge and exciton transfer processes in the condensed phase environment. I will also quantify the degree of non-Markovianity and analysis its effect in transport properties from quantum information perspective.