Nowadays there is a rapid proliferation of IoT systems motivated by the fact that these devices have a large field of applicability. Embedded systems are often used in IoT devices in order to process, collect, exchange data over the Internet and intercommunicate. These devices introduce new security challenges due to their hardware limitations. At the same time, the research into quantum computing is growing and becoming a tangible reality for the coming decades. As the main consequence, the world is starting to prepare to deal, in terms of cybersecurity, with quantum computers by introducing Post Quantum Cryptography (PQC) which is the set of cryptographic algorithms and protocols designed to allow systems to remain secure even in the presence of quantum computers.