Purdue–UMich Quantum Algorithms Seminar

September 11, 2026

Quantum Simulation via Multi-Product Formulas

Junaid Aftab (University of Michigan)

4:10PM–5:10PM EST · Online

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Abstract

Quantum simulation is a central task in quantum computing and a key primitive for algorithms involving dynamics, linear systems, and differential equations. I will discuss multi-product formulas, which retain the commutator sensitivity of product formulas while improving the dependence on simulation time and precision. I will then explain how these ideas extend through linear-combination-of-Hamiltonian-simulation methods to non-unitary dynamics and dissipative linear differential equations. I will also briefly discuss related extrapolation techniques for estimating functional quantities of Hermitian matrices in early fault-tolerant quantum settings.

Materials