<p>Quantum computing provides the pathway to dismantle the security provided by cryptography especially classical public-key systems due to the emergence of Shor’s algorithm. This emerging threat necessitates the development of new security paradigms that are quantum-resistant. Consequently, two new approaches have emerged as prominent solutions, namely Quantum Key Distribution (QKD), which relies on quantum mechanical principles for security, and Post-Quantum Cryptography (PQC), which relies on classical cryptography for quantum resistance. This paper presents an extensive analysis of the global research trends in quantum cryptography and post-quantum cryptographic algorithms by incorporating the use of both bibliometric analysis and comparative analysis. The paper relies on a dataset collected from the Web of Science database from 2010 to 2025. The findings of the paper demonstrate an increase in scientific production in the field of quantum cryptography, with post-quantum cryptography emerging as a new dominant area coinciding with standardization by NIST, whereas quantum key distribution continues to evolve with new developments in quantum communication.</p>