Abstract: Zero-temperature quantum phase transitions, which are ubiquitous throughout correlated electron systems, exhibit a strong connection with both unconventional superconductivity and strange metal behaviors. Recently, a deeper understanding of quantum phase transitions has been achieved, and different types of quantum phase transitions have been found. Uncovering the universal classification for quantum phase transitions, developing theories of quantum phase transitions, and exploring the emergent quantum states and their mechanisms in the vicinity of a quantum critical point remains a major research focus. This review presents some recent research progress and challenges in the field of magnetic quantum phase transitions.