Research Interest

My research centers on the algorithmic foundations of quantum simulation, encoding, and optimization, with a focus on Hamiltonian simulation and Hilbert space exploration. I investigate the interplay between linear algebraic structures and quantum algorithms to develop efficient strategies for simulating complex quantum systems. A key objective is the design of optimized quantum circuits towards fault-tolerant quantum computation (FTQC), aiming to minimize resource overhead and enhance scalability. This includes exploring novel quantum encoding/simulation schemes and optimization techniques to address the challenges of realising practical quantum utility experiments to quantum advantage in near future.

Driven by the potential of quantum simulation to revolutionize diverse scientific domains, I am particularly interested in applications spanning quantum signal processing, quantum chemistry, drug discovery, machine learning, and optimization problems. My work seeks to bridge theoretical advancements with practical implementations, contributing to the development of robust and scalable quantum algorithms that can unlock the transformative capabilities of quantum technologies.

Class notes (Informal)

1. Linear algebra for quantum computing for beginners [UG level tutorial]

2. Basis and Factorisation Techniques for Quantum Computing  [PG level tutorial]