QCS: Course Materials and Schedule

Introduction to QCS 

Lecture 1: Introduction 

Introduction to Quantum Information I: The ideal life of a qubit

Lecture 2: The one qubit system     
(extra: Math Supplement Notes)

Quantum states and Hilbert space NC 1.2, 2.1.1-2.1.4

Single qubits gates NC 1.3.1 and NC 4.2

Adjoint (Hermitian conjugate) NC 2.1.6

Outer-product NC 2.1.4 page 67

Projective measurement NC 2.2.5

Global phase NC 2.2.7

Quantum Key Distribution I: Motivation and BB84 protocol

Lecture 3: QKD I, motivation and BB84

Advances in Quantum Cryptography (review),

Priandola et al here (for QKD lectures)

Introduction to Quantum Information II

Lecture 4: Quantum Information Part II: General states

Introduction to Quantum Information III 

Lecture 5 Quantum Information Part III: Generalised measurements, POVM and noiseless quantum operations

Tutorial 1

Solutions 1

Introduction to Quantum Information IV

Lecture 6 Quantum Information Part VI: Quantum channels and noisy quantum evolutions

CPTP maps, concept of noisy channels, purification, Schmidt decomposition

Classical channels NC 8.1

Quantum channel examples NC 8.3

Purification and Schmidt decomposition NC 2.5

Intro to Quantum Cryptography, Chapter 4: 4.2

Introduction to Quantum Information V: Entropies and Distances

Lecture 7 Entropies and Distances

Shannon entropy NC 11.1

Von Neumann entropy NC 11.1 and 11.2

Quantum entropies NC 11.3

Classical-quantum state: 11.3.2 (Theorem 11.8 point 5)

Trace Distance and Fidelity NC 9.1 and 9.2

Tutorial 2

Solutions 2

QKD II: BB84 Formal Security Proof

Lecture 8 BB84 Security Proof

QKD III: Other protocols

Lecture 9: Other protocols

Tutorial 3

Solutions 3

Quantum Coin-Flipping

Lecture 10: Quantum coin flipping

Quantum Key Distribution IV: Device Independence

Lecture 11: DI QKD

Advances in Quantum Cryptography (review),

Priandola et al here (for QKD lectures)

Secure Two-Parties Functionalities

Lecture 12: Secure 2-Parties Functionalities

Quantum Encryption and Quantum Authentication

Lecture 13: Quantum Encryption and Quantum Authentication

Tutorial 5

Solution 5

Coursework Questions

Coursework Solutions

See course Learn page for details

Deadline: Thursday 28th March 2024, at 12:00

Postquantum Cryptography I: Introduction and quantum access to classical systems

Lecture 15: Postquantum Cryptography I

Tutorial 6

Solutions 6

Postquantum Cryptography II: Lattices -- Regev's cryptosystem

Lecture 17: Postquantum Cryptography II 

Postquantum Cryptography III: Lattices -- NTRU cryptosystem 

Lecture 18: Postquantum Cryptography III

Teleportation, no-cloning, monogamy of entanglement

Lecture 19: Properties of quantum systems and cryptography

Revision session for exams

Lecture 20: Revision Material

and Q & A session