The appearance of quantum computers has had a great impact on various fields, revolutionizing the landscape of technology, scientific research, and computational capabilities. A field that has been greatly affected is cryptography, since the appearance of Shor’s algorithm has made insecure some of our commonly used public key cryptosystems. This project provides a study of how quantum computers and Shor’s algorithm work, along with an investigation and implementation of isogeny-based cryptography, one of the quantum resistant protocols presented.