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Q: Fachverband Quantenoptik und Photonik
Q 20: Quantum Many-Body Dynamics
Q 20.4: Talk
Tuesday, March 12, 2024, 11:45–12:00, HS 3118
Exploring the phase structure of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing — •Stephan Schuster1, Stefan Kühn2, Lena Funcke3, Tobias Hartung4, Marc-Oliver Pleinert1, Joachim von Zanthier1, and Karl Jansen2 — 1Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 1, 91058 Erlangen, Germany — 2CQTA, Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany — 3Transdisciplinary Research Area "Building Blocks of Matter and Fundamental Interactions'' (TRA Matter), University of Bonn, Bonn, Germany — 4Northeastern University - London, Devon House, St Katharine Docks, London, E1W 1LP, United Kingdom
We propose an variational quantum eigensolver (VQE) ansatz, allowing us to explore the phase structure of the multi-flavor Schwinger model in the presence of a chemical potential. The ansatz can incorporate relevant model symmetries via constrains on the variational parameters, and can be implemented on circuit-based as well as measurement-based quantum devices. Classical simulations of the VQE show that our ansatz captures the phase structure of the model, and can approximate the ground state to a high level of accuracy. Moreover, proof-of-principle simulations on a superconducting, gate-based quantum hardware allow to determine the critical points in the considered region of the phase diagram with very good precision.
Keywords: variational quantum eigensolver; circuit-based quantum computing; measurement-based quantum computing; high energy physics; lattice gauge theory