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