Review of Quantum Computing Advances and their Impact on Modern Cryptographic Security

Quantum computing is poised to revolutionize numerous sectors, with cryptographic security identified as one of the most critically affected domains. For instance, Elliptic Curve Cryptography (ECC) and RSA, two traditional encryption techniques, rely on the computational difficulty of integer factorization and discrete logarithms. Nevertheless, quantum algorithms, particularly Shor's algorithm, which jeopardizes the security of existing cryptographic systems, may be able to address these problems successfully. This discovery necessitates the development of cryptographic techniques that are impervious to quantum attacks. The study of post-quantum cryptography (PQC), which includes hash-based, lattice-based, and other quantum-resistant algorithms, is becoming essential to ensuring the long-term confidentiality and integrity of data. This paper explores the basic concepts of quantum computing, their relationship to cryptographic privacy, and potential solutions for the associated security problems in the quantum age.