Holographic Algorithms for Variational Time Evolution

Presentation slides for my undergraduate thesis defense. In this talk, I discuss the motivation, theory, algorithm, and preliminary results on developing holographic algorithms for variational time evolution simulation. Many concepts related to matrix product states, quantum circuits, and variational time evolution were discussed with diagrams and examples. Although future work is certainly required for this project to reach its full potential, we believe this work can enable simulating dynamics in 1D quantum system on NISQ computers.

Alice X.

Alice X.

PhD student in the Daraio Group at Caltech studying nonlinear dynamics and wave physics in mechanical metamaterials. Recovering robot builder. Interested in ways we can make STEM education more accessible.

CV & Contact

Copyright © 2026 Alice Xiong
Memoirs Jekyll Theme