Quantum mechanics is able to effectively explain three of the four fundamental forces of the Universe - electromagnetism, weak interaction and strong interaction - but it does not explain gravity, which is currently only accounted for by general relativity, which is classical physics.
Identifying a plausible model of quantum gravity - a description of gravity within a quantum physics framework - is one of the major challenges physics is facing today. Despite many, many, many hypothetical models proposed to date, none has proved satisfactory or, more importantly, amenable to empirical investigation.