Digital quantum simulation with superconducting quantum processors

Recent progresses on programmable quantum processors have opened a path for exploring exotic states of matter by directly generating and manipulating complex quantum many-body states with digital quantum circuits. Here, I will introduce the advancement happening at Zhejiang University in developing superconducting quantum processors which integrate over 100 frequency-tunable qubits**. In particular, I will describe our principles of developing these processors, with which we attend to achieve a balanced improvement of performance by taking into account all important metric categories such as qubit number, coherence, gate fidelity and readout precision. I will show our effort of improving the qubit coherence, which will ultimately allow us to reach a gate fidelity of 0.999 for the two-qubit controlled \pi-phase gate. Together with the precision readout which is around 0.99 for our processors, we demonstrate the generation of Greenberger-Horne-Zeilinger states with up to 60 qubits and certify the genuine multipartite Bell correlations up to 24 qubits. Finally, I will discuss our recent work on digital simulation of the topological phases that could potentially host projective Ising or Fibonacci anyons.

**Work in collaboration with Hekang Li, Qiujiang Guo, Zhen Wang and Haohua Wang at Zhejiang University.