Experimental simulation of a two-level open system based on Trotter decomposition

Quantum simulation is one of the promising applications on a fully controlled quantum system. Such tasks can be solved with either high dimensional ancillary systems or deep feedback control network. We demonstrate a hardware-efficient repetitive Trotter scheme of open system simulation, which allows efficient simulation of arbitrary noisy environments for a two-level system. The scheme only requires an ancillary superconducting qubit, and real-time feedback control is not necessary. We verify that our implementation can be further strengthened in two ways: higher-order Trotter operation sequencing and error mitigation, which are straight forward with the controllability of our system. Our results show the feasibility to perform quantum simulation tasks on small systems and with restricted experimental resources.