Quantum many-body systems are generally hard to solve both analytically and numerically. The computational complexity grows exponentially along with the systems’ size when it comes to simulating quantum many-body systems on a classical computer. Nonetheless, we can construct quantum simulation algorithms to simulate exactly solvable models exactly. An exact quantum simulation will allow us to access not only the ground state but also the full spectrum of many-body systems. In this project, we use Tequila, an open-source package for quantum algorithms, to build quantum circuits that simulate quantum many-body systems exactly. We perform the quantum simulations on both simulators and real IBMQ devices.