Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing

Schuster, Stephan; Jansen, Karl; Kühn, Stefan; Funcke, Lena; Pleinert, Marc-Oliver; Hartung, Tobias; von Zanthier, Joachim

Preprint

PUBDB-2024-00637

Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing

Schuster, S.Extern* ; Kühn, S.DESY* ; Funcke, L. ; Hartung, T.DESY* ; Pleinert, M.-O. ; von Zanthier, J. ; Jansen, K.DESY*

2024

[10.3204/PUBDB-2024-00637]

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Report No.: arXiv:2311.14825

Abstract: We propose an ansatz quantum circuit for the variational quantum eigensolver (VQE), suitable for exploring the phase structure of the multi-flavor Schwinger model in the presence of a chemical potential. Our ansatz is capable of incorporating relevant model symmetries via constrains on the parameters, and can be implemented on circuit-based as well as measurement-based quantum devices. We show via classical simulation of the VQE that our ansatz is able to capture the phase structure of the model, and can approximate the ground state to a high level of accuracy. Moreover, we perform proof-of-principle simulations on superconducting, gate-based quantum hardware. Our results show that our approach is suitable for current gate-based quantum devices, and can be readily implemented on measurement-based quantum devices once available.

Keyword(s): potential: chemical ; hardware: quantum ; computer: quantum ; critical phenomena ; variational quantum eigensolver ; quantum device ; Schwinger model ; capture ; ground state ; superconductivity ; quantum circuit ; Monte Carlo ; lattice field theory ; Hamiltonian formalism ; Hilbert space ; spin ; Gauss law ; Pauli ; renormalization ; boundary condition