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Emerging Frontiers: Post-Quantum Cryptography and Secure Communication

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The field of cryptography is facing a significant challenge due to fast updates in computer history. This chapter explores the key concepts, techniques, and challenges associated with post-quantum cryptography (PQC). The chapter begins by introducing the fundamental principles of quantum computing and the threats it poses to traditional cryptography systems. Each family is examined in detail, highlighting its underlying mathematical foundations, security assumptions, and implementation considerations. The chapter also discusses the ongoing standardization efforts in postquantum cryptography led by organizations such as the "National Institute of Standards and Technology" (NIST). Furthermore, the chapter explores the challenges and open research questions in the field, such as the efficient implementation of post-quantum algorithms, the impact on existing protocols and systems, and the integration of postquantum cryptography into real-world applications.

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