Quantum Cryptography: Building Security in a Quantum World

This lecture explores the implications of quantum computing on cryptography, focusing on the potential vulnerabilities of current cryptosystems and the development of post-quantum cryptography. It covers the impact of quantum computers on factoring, the security of RSA encryption, and the need for quantum-hard cryptographic solutions. The lecture delves into the concept of cryptographic proof systems, including completeness, soundness, and zero-knowledge guarantees. It also discusses the challenges of achieving quantum-secure commitments and succinct proofs. The presentation concludes with a look at interactive cryptography in a quantum world and outlines future research directions in the field.