Perspectives of running self-consistent DMFT calculations for strongly correlated electron systems on noisy quantum computing hardware

• URL: http://arxiv.org/abs/2311.10402v1
• Date: Fri, 17 Nov 2023 09:05:31 GMT
• Title: Perspectives of running self-consistent DMFT calculations for strongly correlated electron systems on noisy quantum computing hardware
• Authors: Jannis Ehrlich and Daniel Urban and Christian Els\"asser
• Abstract summary: We present a QC approach to solve a two-site DMFT model based on the Variationalsolver (VQE) algorithm. We discuss the challenges arising from Hilbert errors and suggest a means to overcome unphysical features in the self-energy.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Dynamical Mean Field Theory (DMFT) is one of the powerful computatioinal 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. In this work 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.

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