The QuIST Conference is an annual series. As planned, the 9th “Quantum Information, Spacetime Simulation, and Quantum Topological Matter” conference will be held at The Material Science Institute of Madrid, ICMM-CSIC. The event is organized by ICMM-CSIC and Quantum Mads, co-organized by Yau Mathematical Sciences Center at Tsinghua University, Chongqing University, Zhejiang University, and Hangzhou Normal University.