The study examines the temporal efficiency of cryptographic schemes amid the accelerating advances in quantum computing capabilities and the consequent threat to the security foundations of modern asymmetric cryptography. Driven by the rapid evolution of quantum hardware and the prospect of large-scale quantum attacks on widely deployed public-key infrastructures, the objective is to quantify performance implications associated with transitioning from conventional asymmetric algorithms to the post-quantum alternatives selected through NIST’s extensive standardization process. To this end, a comprehensive review of current asymmetric systems is first conducted, covering underlying hardness assumptions such as integer factorization and discrete logarithms in various algebraic groups, typical parameter selections for RSA and elliptic-curve schemes, and practical deployment characteristics including key-generation costs, encryption/encapsulation and decryption/decapsulation latencies, signature-generation and verification times, memory footprints, and side-channel considerations under classical threat models.