- Understand the framework of quantum information theory.
- Understand basic quantum information protocols.
- Understand key quantum information-theoretic quantities
- Understand the basic principles of quantum algorithms and NISQ algorithms.
- Understand the fundamentals of quantum error correction and fault-tolerant quantum computation.
- Read, discuss, and present recent research papers in quantum information theory and related areas.

Quantum mechanics, Linear algebra

- Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press.
- John Preskill, Lecture Notes (http://theory.caltech.edu/~preskill/ph229/)
- John Watrous, The Theory of Quantum Information, Cambridge University Press.
- Mark M. Wilde, Quantum Information Theory, Cambridge University Press.

[Part1 (10~11 weeks)]
1. Overview of Quantum Information Theory
- Pure and mixed states
- Quantum measurements
- Composite Systems and Entanglement
- No-cloning theorem
- Bell theorem
2, Basic Quantum Information Protocols
- Single-qubit and multi-qubit gates, universal gate sets
- Quantum teleportation and superdense coding
- Entanglement swapping and quantum repeaters
- Entanglement distillation and purification
- Quantum key distribution and quantum secret sharing
3. Quantum Channels and Quantum Entropy
- CPTP maps and Kraus representations
- Basic quantum noise channels
- von Neumann entropy, mutual information, relative entropy
- Holevo bound and channel capacity
- Information gain from quantum measurements
4. Introduction to Quantum Algorithms
- Oracle model and quantum interference
- Deutsch-Jozsa algorithm
- Bernstein-Vazirani algorithm
- Simon’s algorithm
- Grover’s algorithm and amplitude amplification
- Quantum Fourier transform
- Phase estimation algorithm
- Shor’s algorithm
5. NISQ Algorithms
- NISQ devices and their limitations
- Variational Quantum Eigensolver
- Quantum Approximate Optimization Algorithm
- Parameterized quantum circuits and barren plateaus
- Digital Hamiltonian simulation and Trotterization
- Quantum error mitigation
6. Quantum Error Correction and Fault Tolerance
- Quantum noise and decoherence
- Basic quantum error-correcting codes
- Stabilizer formalism
- Surface code and fault-tolerant quantum computation

[Part2 (5~6 weeks)]
Project-based seminar on recent research topics
- Individual or small-team projects.
- Topic selection based on quantum information theory and related areas
- Literature review of selected research papers
- Focus on main ideas, technical methods, significance, limitations, and future directions.
- Oral presentation and short final report.