Quantum simulation of quantum mechanical system with spatial noncommutativity

Quantum simulation has become a promising avenue of research that allows one to simulate and gain insight into the models high energy physics whose experimental realizations are either complicated or inaccessible with current technology. We demonstrate quantum such model, mechanical system spatial noncommutativity, which is inspired by works in noncommutative geometry field theory for universal computer. use novel group theoretical formalism map Hamiltonian ordinary then carry out using Trotter–Suzuki product formula. Furthermore, we distinguish impact noncommutativity parameter on simulation, especially Trotter error, point how its sizable value affects simulation.