FYP

Final Year Projects (NTU only)

These projects explore how randomness, computation, and quantum dynamics interact. Topics include stochastic processes, quantum walks, Schrödingerization of PDEs, interacting particle systems, and computational finance. Most are computational, involving numerical simulation in standard scientific Python, while some are more proof-oriented. The balance can be tailored to the student.

Concrete projects:

1. Simulating PDEs on Quantum Computers via Schrödingerization: Heat and Black–Scholes Equations.

2. Numerical SDE Methods for Option Pricing.

3. Quantum walks: could suit math or physics undergraduates.

4. Ising Models and mixing times.

5. Quantum Portfolio Otimization: discrete choices, QUBO, and the Ising mapping.

Some background in SDEs or PDEs and comfort with programming and mathematical arguments. For physics projects, quantum information theory is helpful as well as statistical mechanics.