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Graduate Summer School on Post-Quantum and Quantum Cryptography 2022

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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Explore the intersection of quantum computing and cryptography through this comprehensive graduate-level summer school program covering both post-quantum and quantum cryptographic systems. Begin with foundational cryptography principles through Jonathan Katz's three-part introduction, then advance to quantum computing fundamentals with Fang Song's detailed exploration of quantum systems and algorithms. Delve into post-quantum cryptographic methods including supersingular isogeny-based key exchange mechanisms presented by Craig Costello and examine post-quantum assumptions with Chris Peikert's analysis of cryptographic foundations in the quantum era. Master information-theoretic quantum cryptography through Anne Broadbent's two-part series covering quantum key distribution, quantum authentication, and unconditional security models. Understand the quantum random oracle model through Dominique Unruh's comprehensive treatment of quantum-accessible random oracles and their implications for cryptographic proofs. Learn advanced post-quantum proof techniques with Fermi Ma's detailed examination of quantum rewinding methods and strategies for handling quantum attackers in security proofs. Conclude with Dakshita Khurana's exploration of assumption weakening in quantum cryptography, covering recent advances in reducing the computational assumptions required for quantum cryptographic protocols and examining the theoretical foundations that enable secure quantum communication systems.

Syllabus

Jonathan Katz - Introduction to Cryptography Part 1 of 3 - IPAM at UCLA
Jonathan Katz - Introduction to Cryptography Part 2 of 3 - IPAM at UCLA
Jonathan Katz - Introduction to Cryptography Part 3 of 3 - IPAM at UCLA
Fang Song - Introduction to quantum computing Part 1 of 3 - IPAM at UCLA
Fang Song - Introduction to quantum computing Part 2 of 3 - IPAM at UCLA
Fang Song - Introduction to quantum computing Part 3 of 3 - IPAM at UCLA
Craig Costello - Post-quantum key exchange from supersingular isogenies- IPAM at UCLA
Anne Broadbent - Information-Theoretic Quantum Cryptography Part 1 of 2 - IPAM at UCLA
Anne Broadbent - Information-Theoretic Quantum Cryptography Part 2 of 2 - IPAM at UCLA
Chris Peikert - Post Quantum assumptions - IPAM at UCLA
Dominique Unruh - The quantum random oracle model Part 1 of 2 - IPAM at UCLA
Dominique Unruh - The quantum random oracle model Part 2 of 2 - IPAM at UCLA
Fermi Ma - Post-Quantum Proof Techniques, Part 1: Introduction to Quantum Rewinding - IPAM at UCLA
Fermi Ma - Post-Quantum Proof Techniques, Part 2: How to Rewind a Quantum Attacker Many Times
Dakshita Khurana - Weakening Assumptions in Quantum Cryptography IV.a Part 1 of 2 - IPAM at UCLA
Dakshita Khurana - Weakening Assumptions in Quantum Cryptography IV.b Part 2 of 2 - IPAM at UCLA

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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