Variational quantum-algorithm based self-consistent calculations for the two-site DMFT model on noisy quantum computing hardware

• URL: http://arxiv.org/abs/2311.10402v2
• Date: Fri, 20 Dec 2024 13:33:02 GMT
• Title: Variational quantum-algorithm based self-consistent calculations for the two-site DMFT model on noisy quantum computing hardware
• Authors: Jannis Ehrlich, Daniel Urban, Christian Elsässer,
• Abstract summary: We present a QC approach to solve a two-site DMFT model based on the Variational Quantum Eigensolver (VQE) algorithm.<n>We analyse the propagation of stachastic and device errors through the algorithm and their effects on the calculated 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 computational approaches to study electron correlation effects in solid-state materials and molecules. Its practical applicability is, however, limited by the quantity of numerical resources required for the solution of the underlying auxiliary Anderson impurity model. Here, the 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 this task. In this work we present a QC approach to solve a two-site DMFT model based on the Variational Quantum Eigensolver (VQE) algorithm. We analyse the propagation of stachastic and device errors through the algorithm and their effects on the calculated self-energy. Therefore, we systematically compare results obtained on simulators with calculations on the IBMQ Ehningen QC hardware. We suggest a means to overcome unphysical features in the self-energy which already result from purely stochastic noise. Based heron, we demonstrate the feasibility to obtain self-consistent results of the two-site DMFT model based on VQE simulations with a finite number of shots.

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