Overview What You Will Learn Curriculum Instructor

Course Overview

As quantum computing continues to evolve, quantum cryptography is emerging as a revolutionary approach to secure communication by leveraging the laws of quantum mechanics rather than computational hardness. Concepts such as quantum superposition, entanglement, and the no-cloning theorem enable new cryptographic primitives that offer unprecedented security guarantees. This course introduces the foundational principles and advanced protocols that are shaping the future of secure communications.

This course begins with the fundamentals of quantum computing, including the quantum circuit model, quantum oracles, uncertainty, the no-cloning theorem, and the relationship between quantum computing and cryptography. It then explores private quantum money, quantum key distribution through the BB84 and Ekert protocols, and uncloneable encryption techniques. The course continues with advanced quantum cryptographic primitives such as blind quantum computation, public quantum money, and time-release encryption before examining the theoretical limits of quantum cryptography, shadow tomography, and key research directions in the field.

By the end of this course, you will understand the principles, protocols, and limitations of quantum cryptography and their role in securing future communication systems.

What You Will Learn

  • Understand the fundamental principles of quantum mechanics that enable quantum cryptography.
  • Explore quantum key distribution protocols, including BB84 and Ekert, for secure communication.
  • Analyze advanced quantum cryptographic concepts such as quantum money, uncloneable encryption, and blind quantum computation.
  • Evaluate the security guarantees and theoretical limitations of quantum cryptographic systems.
  • Gain insight into emerging quantum security technologies and their applications in future communication networks.

Program Curriculum

  • Welcome, Introduction, and Overview
  • The Quantum Circuit Model
  • Quantum Oracles and Quantum Speedups
  • Uncertainty and No-cloning
  • Do We Need Quantum Computers for Quantum Cryptography?
  • Chapter 1 Quiz

  • Stephen Wiesner’s Quantum Money
  • Simple Attack on Wiesner’s Money
  • The Eliztur-Vaidman Bomb Tester
  • Adaptive Attack on Wiesner’s Money
  • Classically Revocable Private Quantum Money
  • Chapter 2 Quiz

  • Key Exchange
  • The Bennet-Brassard (BB84) Key Exchange
  • Quantum Entanglement
  • Bell Inequalities and Non-local Games
  • Ekert’s Secret-exchange Protocol
  • Device-independent Security
  • Chapter 3 Quiz

  • The Superbowl Problem
  • Quantum One-time Pads
  • Defining Uncloneability
  • Quantum MAC Tokens
  • Uncloneable Encryption
  • Chapter 4 Quiz

  • The Uncloneable Jungle
  • Revocable Time-release Encryption
  • Blind Quantum Computation
  • Classically Verifiable Quantum Computation
  • Public Quantum Money
  • Chapter 5 Quiz

  • Unconditional Attackers with Few Queries
  • Shadow Tomography
  • Two Impossibility Results
  • Chapter 6 Quiz

  • Key Takeaways
  • Further Topics and Reading Recommendations
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Instructor

Dr. Shai Wyborski

Dr. Shai Wyborski is a Ph.D in quantum cryptography; his research includes studying the relations between uncloneable primitives and proposing new primitives for uncloneable decryption keys. Outside his research work, Shai is an experienced educator and science communicator, with many hours of teaching university classes and lecturing for wide audiences, most famously about the Kaspa cryptocurrency, to which he is one of the original major contributors. Shai earned his Ph.D from the Hebrew University in 2024 under the co-advisory of Prof. Dorit Aharonov and Dr. Or Sattath. In 2019, he earned an M.Sc in mathematical logic from the Hebrew University under the co-advisory of Prof. Ehud Hrushovski and Prof. Itay Kaplan. Shai is a strong proponent of visual learning and believes formal ideas can be communicated to any audience with the right approach.

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