Applied Math Seminar
The Applied Math Seminar hosts a wide range of talks in fields such as applied analysis, mathematical biology, fluid dynamics and electromagnetics, numerical computation, etc.
The seminar usually meets at 2:30pm on Fridays in room 1302 of Warren Weaver.
Please email email@example.com with suggestions for speakers.
Seminar Organizer(s): Mike O'Neil
Friday, February 10, 20232:30PM, Warren Weaver Hall 1302
Yimin Zhong, Auburn University
Friday, February 17, 20232:30PM, Warren Weaver Hall 1302
Jeremy Hoskins, University of Chicago
Friday, March 3, 20232:30PM, Warren Weaver Hall 1302
James Glazier, Indiana University
Friday, March 31, 2023CANCELLED
Friday, April 21, 20232:30PM, Warren Weaver Hall 1302
Saverio Spagnolie, U. Wisconsin
Friday, April 28, 20232:30PM, Warren Weaver Hall 1302
Kui Ren, Columbia University
Friday, January 27, 20232:30PM, Warren Weaver Hall 1302
Quantum algorithms for Hamiltonian simulation with unbounded operators
Di Fang, UC Berkeley
Recent years have witnessed tremendous progress in developing and analyzing quantum computing algorithms for quantum dynamics simulation of bounded operators (Hamiltonian simulation). However, many scientific and engineering problems require the efficient treatment of unbounded operators, which frequently arise due to the discretization of differential operators. Such applications include molecular dynamics, electronic structure theory, quantum control and quantum machine learning. We will introduce some recent advances in quantum algorithms for efficient unbounded Hamiltonian simulation, including Trotter type splitting and the quantum highly oscillatory protocol (qHOP) in the interaction picture. The latter yields a surprising superconvergence result for regular potentials. In the end, I will discuss briefly how Hamiltonian simulation techniques can be applied to a quantum learning task achieving optimal scaling. (The talk does not assume a priori knowledge on quantum computing.)