Quantum Computing represents on of the most promising technological revolutions of recent decades, offering computational abilities that can solve complex problems at an exponentially faster rate than classical computers. However, this evolution introduces new challenges for cybersecurity, particularly as conventional cryptographic schemes risk becoming vulnerable to attacks from quantum computers. In particular the most common used asymmetric algorithms, like RSA and Elliptic Curve Cryptography (ECC), are vulnerable to Shor's algorithm and are solvable in polynomial time from quantum computers. This makes crucial the introduction of new kind of algorithms capable to resist quantum attacks. This thesis wants to look into the impact of quantum computing on existing cryptographic systems, focusing its effects on the security of embedded system especially with regard to the Trusted Platform Module (TPM).