Multiproduct formulas and Trotterization

by Jacob Watkins (Michigan State University)

Monday 31 Jan 2022, 14:00 → 16:00 US/Eastern

I will discuss a new quantum algorithm for simulating time-dependent Hamiltonians, one which uses so-called multiproduct formulas as the primary ingredient. Multiproduct formulas extend the more familiar product formulas (such as Suzuki-Trotter decompositions) by taking sums of them, with more terms increasing the simulation accuracy.  After giving a broad overview of quantum simulation in general, including some basic notions and definitions, I will show how one can use multiproduct formulas for time-dependent systems, and present both theoretical and numerical characterizations of the algorithm’s performance.  Along the way, I will make use of an interesting concept: time-dependent systems can be formally treated as time-independent ones embedded in a larger Hilbert space.