About
I am a final-year PhD candidate in Theoretical Physics at UCLA. I am fortunate to be advised by Eric D’Hoker and Leo Zhou, and to be working with Di Luo and Zhongbo Kang. Previously, I received an MSc in Mathematical and Theoretical Physics from the University of Oxford in 2021 and a BS in Mathematics/Applied Science from UCLA in 2020. I am currently seeking postdoctoral opportunities.
Research
My research analyzes the phase structure of strongly coupled gauge theories using a combination of non-perturbative field-theoretic tools (such as symmetries, dualities and topology) and classical/quantum simulations. Toward this goal, I study quantum algorithms and the quantum simulation of strongly coupled many-body systems, with a particular emphasis on lattice gauge theories. My work on formal aspects of quantum field theory informs my approach to constructing physically faithful and resource-efficient Hamiltonian formulations.
- Quantum simulation of lattice gauge theories. To study phase structure and dynamics in regimes where conventional Monte Carlo methods suffer from sign problems (e.g., at finite density or in the presence of topological terms), I develop Hamiltonian lattice formulations of quantum many-body systems. I use a combination of classical methods (e.g., ED, tensor networks, and neural quantum states) and variational/adiabatic quantum algorithms to access physics beyond the reach of conventional classical approaches.
- Quantum algorithms for many-body simulation and optimization. To address many-body simulation and optimization problems beyond the reach of classical methods, I design efficient quantum algorithms for continuous optimization and ground-state preparation. In work on CV-QAOA, we establish rigorous convergence guarantees and black-box quantum-classical separations. I also analyze adiabatic algorithms for preparing ground states of bosonic and lattice gauge theory Hamiltonians.
A complete list of papers is available on the Publications page.