14.1 What are quantum computers and why are they scaring cryptographers?14.1.1 Quantum mechanics, the study of the small14.1.2 From the birth of quantum computers to quantum supremacy14.1.3 The impact of Grover and Shor’s algorithms on cryptography14.1.4 Post-quantum cryptography, the defense against quantum computers14.2 Hash-based signatures: Don’t need anything but a hash function14.2.1 One-time signatures (OTS) with Lamport signatures14.2.2 Smaller keys with Winternitz one-time signatures (WOTS)14.2.3 Many-times signatures with XMSS and SPHINCS+14.3 Shorter keys and signatures with lattice-based cryptography14.3.1 What’s a lattice?14.3.2 Learning with errors (LWE), a basis for cryptography?14.3.3 Kyber, a lattice-based key exchange14.3.4 Dilithium, a lattice-based signature scheme14.4 Do I need to panic?Summary