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Description
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.
