Computer security has become a crucial priority due to the advancement in the development of increasingly sophisticated threats. The integration of quantum computing into the field of cybersecurity emerges as a critical new research area. This technological advancement, grounded in the principles of quantum mechanics, threatens to substantially transform how we view technology today and pose significant challenges for information security. In this context, the following Systematic Literature Review will delve deeply into the advances and integration strategies of quantum computing in the field of cybersecurity in order to identify trends and document how progress has been made in the study of this disruptive new technology, which is already highly relevant today. The current state of research is analyzed, proposed strategies are explored, and preparation for a new quantum era in cybersecurity is considered. It is noteworthy the importance of understanding and addressing these challenges to ensure a safe and effective transition to a not-so-distant era that will be dominated by quantum computing relevant to the security topic, highlighting the need for new innovative and collaborative approaches to confront the new and sophisticated threats of the quantum era.