Recent years have witnessed breakthrough research in quantum computers that bear the potential to break many of the classical and widely used cryptographic schemes, such as RSA, ECDSA, and El Gamal among others. All such existing cryptosystems need replacements by quantum-resistant protocols and appropriate architectures to provide the required services. The aim of this talk is to introduce post-quantum cryptographic systems, secure against both quantum and classical computers, which can be broadly classified into five categories, namely, Isogeny based, Hash based, Lattice based, Multivariate based, and Code based cryptosystems. We shall discuss the underlying hard problem for each of the cryptosystems, along with their advantages and limitations. We shall also discuss various efforts and initiatives that are being currently taken towards the standardization of post-quantum cryptography by organizations such as NIST, ETSI, etc, as well as towards smooth migration to a quantum safe world.