SAMOP 2023 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 35: Quantum Computers: Algorithms and Benchmarking

QI 35.3: Vortrag

Freitag, 10. März 2023, 11:30–11:45, B305

Perspectives of running DMFT calculations on NISQ hardware — •Jannis Ehrlich, Daniel F. Urban, and Christian Elsässer — Fraunhofer-Institut für Werkstoffmechanik IWM, Freiburg, Germany

Quantum computers promise to enhance numerical calculations of correlated electron systems. While the simulation of full electronic systems is far out of reach due to the large number of states that need to be considered, effective model systems can already be implemented on currently available NISQ devices. The Dynamical Mean Field Theory (DMFT) is such an embedding approach, in which the Greens function of a correlated orbital has to match both, the orbitals description as site of a regular lattice and as impurity in an Anderson impurity model (AIM). Both models are solved in an iterative self-consistency loop, where the solution of the AIM is the limiting part of DMFT calculations on conventional computers today. Here, we introduce a possible way of solving the AIP on a quantum computer using hybrid approaches like the variational quantum eigensolver (VQE). We present results of experiments on IBMQ hardware for the two-site DMFT model. Moreover, we show how state-of-the-art error mitigation strategies improve the results. A post-correction scheme is presented to ensure physical symmetries in the final self-consistent Greens function and self-energy and we derive and discuss the requirements on the quantum hardware needed for a successful implementation of the algorithm.