Arbitrary quantum channel simulations of a superconducting qudit system

Unitary operations of closed quantum systems have been well studied. However, practical quantum systems are open and their evolution is described by quantum channels. So exploring arbitrary quantum channel simulation with minimum resources is of great importance for both fundamental understandings of open systems and mitigating of quantum noise. In this talk, we will introduce our recent experimental efforts on arbitrary quantum channel simulations of a high dimensional photonic qudit (cavity), with the assistance of a transmon qubit. First, continuous evolutions of an open quantum system are simulated by digitally and repetitively implementing Lindblad operators. Two interesting channels, odd parity stabilization channel and two-photon dissipation channel, have been demonstrated with this method. Then, the quantum channel that directly maps the input to output is simulated based on adaptive control. By using this method, preparation of arbitrarily mixed states and state tomography by symmetric informationally complete positive operator-valued measures are demonstrated.