Speaker: Hao-Tian Wei
Affiliation: Rice University
Date: Tuesday, 28 April 2026 at 15:00
Location: Online seminar
We design a universal framework for fermionic quantum hardware that runs efficient
variational algorithms to simulate generic many-body systems beyond the hardware’s
native interactions. Our analysis shows that one can quantum simulate the ground-state
properties of a broad class of gapless target Hamiltonians of local observables in a
quantum evolution time that grows polynomially with the inverse relative error up to
logarithmic corrections, and offers an exponential speedup over naïve classical
algorithms such as exact diagonalization (ED). We provide numerical evidence and
theoretical argument that this holds for energy density, as well as density-density and
spin-spin correlations in three qualitatively distinct models – the repulsive Hubbard
model; a Hubbard model augmented with nearest-neighbor attractive interactions, which
introduces the phenomenon of pairing; and the Hofstadter-Hubbard model, which
introduces a gauge field and fractional quantum Hall physics. This work demonstrates
the usefulness of current ultracold fermionic quantum platforms for quantum simulating
fermionic many-body systems beyond the models natively implemented in the
hardware.