Berlin 2024 – scientific programme
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QI: Fachverband Quanteninformation
QI 22: Quantum Simulation I
QI 22.12: Talk
Thursday, March 21, 2024, 12:45–13:00, HFT-FT 101
Perspectives of running self-consistent DMFT calculations for strongly correlated electron systems on noisy quantum computing hardware — •Jannis Ehrlich1, Daniel F. Urban1,2, and Christian Elsässer1,2 — 1Fraunhofer-Institut für Werkstoffmechanik IWM, Freiburg, Germany — 2Freiburger Materialforschungszentrum, Universität Freiburg, Germany
Dynamical Mean Field Theory (DMFT) is one of the powerful computational approaches to study electron correlation effects in solid-state materials and molecules. Its practical applicability is, however, limited by the exponential growth of the many-particle Hilbert space with the number of considered electronic orbitals. Here, the possibility of a one-to-one mapping between electronic orbitals and the state of a qubit register suggests a significant computational advantage for the use of a Quantum Computer (QC) for solving DMFT models. We present a QC approach to solve a two-site DMFT model based on the Variational Quantum Eigensolver (VQE) algorithm. We discuss the challenges arising from stochastic errors and suggest a means to overcome unphysical features in the self-energy. We thereby demonstrate the feasibility to obtain self-consistent results of the two-site DMFT model based on VQE simulations with a finite number of shots. We systematically compare results obtained on simulators with calculations on the IBMQ Ehningen QC hardware. [arXiv: 2311.10402]
Keywords: DMFT; VQE; Greens Function