Syllabus
Since this is an experimental course the syllabus is subject to change. Below is its rough summary.
Quantum Cryptography
Weeks 1/2: Quantum tools and a first cryptographic protocol
- Density matrices (revision)
- Measurements
- Partial trace
- Secure message transmission
- Classical and quantum one-time pad
Weeks 3/4: The power of entanglement
- Introduction to entanglement
- Purifications
- Secret sharing
- Bell nonlocality
- The monogamy of entanglement
Week 5/6: Quantifying information
- Measures of closeness of two quantum states: trace distance and fidelity
- Measures of uncertainty: von Neumann and min- entropies
- Uncertainty principle as a guessing game
Week 7/8/9: Distributing keys and quantum key distribution protocols
- Secure key distribution
- Information reconciliation
- The BB84 quantum key distribution protocol
- Purifying protocols using entanglement
- Security from tripartite uncertainty relations
Week 10/11: Quantum cryptography using untrusted devices
- Testing devices using a Bell experiment
- Device independent quantum key distribution
Week 12/13: Quantum cryptography beyond quantum key distribution (if time permits)
- Coin flipping
- Bit commitment
- Oblivious transfer
- Position verification