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QI: Fachverband Quanteninformation

QI 8: Quantum Computing Theory I

QI 8.5: Vortrag

Montag, 10. März 2025, 18:15–18:30, HS IV

Adaptive Lie-algebra ansatz for ground-state calculations in a globally-driven Rydberg platform — •Marco Dall'Ara, Martin Koppenhöfer, Thomas Wellens, Florentin Reiter, and Walter Hahn — Fraunhofer Institute for Applied Solid State Physics IAF, Tullastr. 72, 79108 Freiburg, Germany

Hybrid quantum-classical algorithms have emerged as a promising tool to accurately determine ground states, for example of molecules, on quantum computers and quantum simulators. We propose a novel method for the variational preparation of ground states of Hamiltonians on a globally-driven Rydberg-atom platform. This novel method is based on a dynamical-Lie-algebra ansatz combined with an adaptive construction of the pulse sequence. When using our method to determine the ground state of molecules in numerical simulations, it outperforms a brute-force ansatz and shows clear advantages with respect to the dCRAB algorithm of quantum optimal control regarding the number of free parameters and expectation-value evaluations. In particular, we introduce an effective dynamical Lie algebra to avoid the calculation of the full dynamical Lie algebra, which is computationally intractable for larger systems. The method proposed is applicable to simulators beyond the Rydberg-atom architecture and to quantum computers.

Keywords: Variational quantum simulator; Lie algebra; ADAPT-VQE; Rydberg atoms; Quantum chemistry