  Quantum Monte Carlo methods are powerful numerical tools to accurately solve
the Schr\"odinger equation for nuclear systems, a necessary step to describe
the structure and reactions of nuclei and nucleonic matter starting from
realistic interactions and currents. These ab-initio methods have been used to
accurately compute properties of light nuclei -- including their spectra,
moments, and transitions -- and the equation of state of neutron and nuclear
matter. In this work we review selected results obtained by combining quantum
Monte Carlo methods and recent Hamiltonians constructed within chiral effective
field theory.
