Freiburg 2019 – scientific programme

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FM: Fall Meeting

FM 21: Quantum Computation: Algorithms

FM 21.7: Talk

Monday, September 23, 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 Buchleitner¹ — ¹Albert-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.