Mitigating off-resonant error in the cross-resonance gate
Mohammad Moein Malekakhlagh, Easwar Magesan
APS March Meeting 2022
The constrained-search formulation of Levy and Lieb provides a concrete mapping from N-representable densities to the space of N-particle wave functions and explicitly defines the universal functional of density-functional theory. We numerically implement the Levy-Lieb procedure for a paradigmatic lattice system, the Hubbard dimer, using a modified variational quantum eigensolver approach. We demonstrate density variational minimization using the resulting hybrid quantum-classical scheme featuring real-time computation of the Levy-Lieb functional along the search trajectory. We further illustrate a fidelity-based quantum kernel associated with the density to pure-state embedding implied by the Levy-Lieb procedure and employ the kernel for learning observable functionals of the density. We study the kernel's ability to generalize with high accuracy through numerical experiments on the Hubbard dimer.
Mohammad Moein Malekakhlagh, Easwar Magesan
APS March Meeting 2022
Max Rossmannek, Fabijan Pavošević, et al.
Journal of Physical Chemistry Letters
Christa Zoufal, Stefan Woerner
APS March Meeting 2023
Brad Mitchell, Youngseok Kim, et al.
APS Global Physics Summit 2025