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SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 8: QI Poster I (joint session QI/Q)

Q 8.29: Poster

Monday, March 6, 2023, 16:30–19:00, Empore Lichthof

Preparing ground states of the Fermi-Hubbard model with shallow quantum circuits — •Tobias Schmale1, Bence Temesi1, Hamed Saberi1, and Hendrik Weimer2,11Institut für Theoretische Physik, Hannover, Germany — 2Institut für Theoretische Physik, TU Berlin, Germany

The 2D Fermi-Hubbard model is a paradigmatic model in condensed matter physics, potentially holding the key to understanding high-temperature superconductivity. We turn to digital quantum simulations of the model, as classical simulation methods remain prohibitively challenging. We investigate a strategy for adiabatic preparation of the ground state by shallow quantum circuits running in constant time on a highly parallelized architecture. Additionally, we consider a simplified architecture consisting of a single computing register in a trapped-ion architecture based on ion shuttling, where we find that a single auxiliary qubit is sufficient to implement the mapping from fermions to qubits. We show that these architectures naturally allow for the realization of extensions to the Hubbard model such as next-nearest-neighbor hopping, which might be crucial to stabilize d-wave superconductivity.

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