Quantum devices hold promise to outperform classical computers in performing some physical simulations in the nearest future, making them a valuable tool for physics research. In this talk, Oles will focus on quantum simulation of the topological states of matter hosting Majorana modes -- the exotic "half-electron" states. He will show the results obtained from noisy quantum hardware provide us with accurate prediction of Majorana mode wavefunctions. This experiment also allows us to verify the topological nature of observed modes. In addition, he will demonstrate a new, non-adiabatic braiding method that enables us to obtain the exchange statistics. Thus, we establish the use of current cloud-based quantum simulations in studying topological many-body phenomena.