Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 21: Quantum Computation: Algorithms

FM 21.7: Talk

Montag, 23. September 2019, 18:00–18:15, 2006

Variational Quantum Eigensolver on small scale Fermi-Hubbard Models — •Andreas Woitzik1, Clara Fuchs1, Andreas Ketterer1, Panagiotis Barkoutsos2, Ivano Tavernelli2, and Andreas Buchleitner11Albert-Ludwigs-Universität Freiburg, Freiburg im Breisgau, Deutschland — 2IBM Research - Zurich, Rüschlikon, Schweiz

Algorithms processing quantum information seem to be a good candidate for optimisation processes as well as simulations of quantum systems. Due to limited capabilities of currently available quantum hardware the application of these algorithms is restricted to proof-of-principle examples. We elaborate on a quantum-classical variational algorithm applied to small scale Fermi-Hubbard models. The impact of noise on the algorithm is discussed and we present its numerically achieved accuracy depending on the complexity of the quantum circuit by applying an argument based on the Solovay-Kitaev theorem. We find that the algorithm's noise resilience strongly depends on the classical optimisation scheme which is used.

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