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The research carried out aims to explore the possibilities of quantum computing in the field of cryptography, identifying both significant opportunities and challenges. To achieve this, a mixed methodological approach is adopted, integrating theoretical analysis and literature review with case studies and computational simulations. The main theoretical contributions of the research focus on the identification of the vulnerabilities of classical cryptographic algorithms against quantum computing, as well as the exploration of innovative approaches in post-quantum cryptography that show promise in resistance against possible quantum attacks. . Additionally, the transformative potential of quantum computing in cryptography is highlighted, such as quantum secure communication systems and improved encryption algorithms. The methodology used allows for a comprehensive and multifaceted exploration of the possibilities of quantum computing in the field of cryptography, encompassing both theory and practice. A systematic review of the existing literature is carried out and a detailed analysis of the fundamental principles of quantum computing is carried out, complemented by computational simulations. The main research results are divided into several key categories, reflecting both theoretical and practical advances in this field. The principles of quantum computing have been identified as offering new dimensions in cryptographic security, and innovative approaches have been explored in post-quantum cryptography. Furthermore, practical applications of quantum computing in cryptography demonstrate the transformative potential of this technology. In conclusion, the research highlights the need for proactive adaptation in the field of cryptography in the face of advances in quantum computing, thus ensuring the integrity and security of information in the digital world.