PhD Preliminary: Mahathi Vempati

Date
Thu, Oct 23, 2025 9:30 am - 11:00 am
Location
ATL 3100A and Virtual Via Zoom: https://umd.zoom.us/j/7474810823

Description

Title:  Quantum End-to-end Solvers for Partial Differential Equations
Speaker:  Mahathi Vempati (QuICS) 
Date & Time:  October 23, 2025, 9:30am
Where to Attend:  ATL 3100A and Virtual Via Zoom: https://umd.zoom.us/j/7474810823

Solving partial differential equations seems to be a useful application of quantum computing because the solutions usually involve doing linear algebra on large sparse matrices which can be encoded into quantum operations. However, for several PDE's it is unclear if quantum computing can provide an advantage in solving the end-to-end problem. In this proposal, we discuss an end-to-end quantum algorithm for the diffusion eigenvalue problem, a type of second-order elliptic PDE. We then discuss potential for quantum advantage, as well as other PDE's to analyze in which one may see an advantage.

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