As far as we know, quantum mechanics governs our universe and all matters therein. It is, however, not easy to feel the existence of quantum mechanics in our everyday life since quantum mechanics manifests itself usually in the microscopic world. Condensed matter physics is a branch of physics, where researchers study quantum phenomena in the macroscopic world. Among such phenomena are superconductivity, where the electric resistance is entirely zero, and the quantum Hall effect, where the electric resistance performs quantum jumps. Quantum matter is the phase of matter exhibiting macroscopic quantum phenomena. Amazingly, new classes of quantum matter can emerge when electrons become strongly correlated. High-temperature superconductors and the fractional quantum Hall states are the strongly correlated versions of the previous two examples of quantum matter. In this talk, I would like to explain the incredible world of quantum matter and its strongly correlated frontiers.