Explore the world of quantum-safe cryptography in this comprehensive conference talk delivered by Tjerand Silde at NDC Security in Oslo, Norway. Delve into the looming threat quantum computers pose to current public key cryptography systems like RSA encryption, Diffie-Hellman key exchange, and elliptic curve digital signatures. Learn about the "store now, decrypt later" attack strategy and discover the standardized quantum-safe algorithms being developed to counter these threats. Examine how quantum-safe cryptography is currently implemented in TLS and messaging protocols, understand the practical challenges of implementing these new algorithms, and identify future opportunities in this emerging field. Though covering a technical subject, the presentation is designed to be accessible to anyone interested in quantum-safe cryptography, with most content presented in a non-technical manner.