Preprint

PUBDB-2024-07804

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png First-Order Phase Transition of the Schwinger Model with a Quantum Computer

Angelides, T. (Corresponding author)DESY* ; Naredi, P.Extern*DESY* ; Crippa, A.DESY* ; Jansen, K.DESY* ; Kühn, S.DESY* ; Tavernelli, I. ; Wang, D. S.

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-07804

Report No.: arXiv:2312.12831

Abstract: We explore the first-order phase transition in the lattice Schwinger model in the presence of a topological $\theta$-term by means of the variational quantum eigensolver (VQE). Using two different fermion discretizations, Wilson and staggered fermions, we develop parametric ansatz circuits suitable for both discretizations, and compare their performance by simulating classically an ideal VQE optimization in the absence of noise. The states obtained by the classical simulation are then prepared on the IBM's superconducting quantum hardware. Applying state-of-the art error-mitigation methods, we show that the electric field density and particle number, observables which reveal the phase structure of the model, can be reliably obtained from the quantum hardware. To investigate the minimum system sizes required for a continuum extrapolation, we study the continuum limit using matrix product states, and compare our results to continuum mass perturbation theory. We demonstrate that taking the additive mass renormalization into account is vital for enhancing the precision that can be obtained with smaller system sizes. Furthermore, for the observables we investigate we observe universality, and both fermion discretizations produce the same continuum limit.

Keyword(s): hardware: quantum ; mass: renormalization ; fermion: staggered ; computer: quantum ; critical phenomena ; variational quantum eigensolver ; continuum limit ; Schwinger model ; error mitigation ; particle number ; density ; universality ; superconductivity ; topological ; electric field ; lattice ; optimization ; perturbation theory ; noise ; performance ; parametric

Note: 21 pages, 10 figures, 1 table

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Contributing Institute(s):

1. Centre f. Quantum Techno. a. Application (CQTA)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. QUEST - QUantum computing for Excellence in Science and Technology (101087126) (101087126)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Angelides, T. (Corresponding author)DESY* ; Naredi, P.Extern*DESY* ; Crippa, A.DESY* ; Jansen, K.DESY* ; Kühn, S.DESY* ; Tavernelli, I. ; Wang, D. S.
First-Order Phase Transition of the Schwinger Model with a Quantum Computer
npj Quantum information 11, 6 (2025) [10.1038/s41534-024-00950-6]2025     Files  Fulltext Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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