Name: Erika Ye
Pronouns: she/her/hers
Biography:
Erika joined Lawrence Berkeley National Lab as the 2023 Alvarez fellow. She earned her PhD from Caltech in Applied Physics, where she developed computational tools for quantum simulation. After graduation, she was a postdoc at MIT, where she started to develop quantum-inspired algorithms for solving classical partial differential equations, specifically focusing on the Vlasov equation for simulating plasma dynamics. Now at Berkeley Lab, she intends to further pursue this research and make quantum-inspired algorithms more accessible to the broader scientific community.
Institution/Lab: Lawrence Berkeley National Laboratory
Website:
SRP Collaboration Topic/Title: Quantum-inspired methods for solving PDEs
Field or research area: High-dimensional PDEs
Please select all the topical areas that apply to your project:
Computational Science Applications (i.e., bioscience, cosmology, chemistry, environmental science, nanotechnology, climate, etc.); Quantum Computing and Information Science
Brief Abstract:
Partial differential equations are used across many scientific fields to describe physical phenomena. However, nonlinear PDEs can be difficult to understand analytically and also difficult to simulate numerically. In particular, numerical simulation methods suffer from the curse of dimensionality, meaning that the number of degrees of freedom increase exponentially with problem dimension. Quantum-inspired algorithms offer a way to systemically reduce the degrees of freedom, potentially allowing for (sub)exponential reduction in computational cost. These algorithms are gaining in popularity and have been used to solve Navier-Stokes and the Vlasov equation with surprising success. This project can take many directions, such as extending these methods to different PDEs or considering problems with complex geometries.
Desired relevant skills, background, or interests:
Coding experience Linear algebra Basic quantum mechanics Numerical simulation background
Other comments:
I may have to missed parts of the matching workshop
Do any special requirements apply? Minimum GPA (specify what GPA in comments below); Permanent Resident OK; International OK
Other, specify:
Keywords:
quantum-inspired algorithms; quantized tensor trains; Vlasov equation; partial differential equations
Lightning Talk Title: Solving Partial Differential Equations with Quantized Tensor Trains