The dynamics of quantum particles, such as electrons, nucleons, helium atoms, or atomic cold gases are described by a continuous complex wave function rather than just by their coordinates. Whereas the numerical complexity of describing the dynamics of a collection of classical particle can only be a polynomial function of the number of particles, it is exponential for the case of quantum particles. The goal of computational quantum physics is to devise clever numerical methods that can overcome this “exponential” bottle-neck. The focus at Texas A&M is to develop higher order action or propagator methods in Diffusion Monte Carlo (DMC) and Path Integral Monte Carlo (PIMC) methods to solve realistic quantum many-body systems such as finite nuclei, helium droplets, quantum dots, and atomic cold gases, including the development of novel techniques of overcoming the difficult sign problem in fermion systems.