A universal and efficient hybrid digital-analog fermionic quantum simulator

• URL: http://arxiv.org/abs/2606.05517v1
• Date: Wed, 03 Jun 2026 23:44:45 GMT
• Title: A universal and efficient hybrid digital-analog fermionic quantum simulator
• Abstract summary: We present a universal framework to harness fermionic ultracold atom platforms for quantum simulation.<n>We show how variational algorithms on existing hardware can simulate many-body systems well beyond the hardware's native Hamiltonian.
• Score: 0.21485350418225244
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a universal framework to harness fermionic ultracold atom platforms for quantum simulation, showing how variational algorithms on existing hardware can simulate many-body systems well beyond the hardware's native Hamiltonian. Our analysis provides evidence 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, $T\sim O(\mathrm{poly}(1/ε))$ up to logarithmic corrections, offering an exponential speedup over na{ï}ve classical algorithms such as exact diagonalization. We provide numerical evidence and theoretical argument that this holds for energy density, 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 quantum simulation using current fermionic platforms far beyond the models natively implemented in the hardware.

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