Quench dynamics of the Schwinger model via variational quantum algorithms Article Swipe

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Lento Nagano , Aniruddha Bapat , C. Bauer ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.1103/physrevd.108.034501

We investigate the real-time dynamics of the ($1+1$)-dimensional U(1) gauge theory known as the Schwinger model via variational quantum algorithms. Specifically, we simulate quench dynamics in the presence of an external electric field. First, we use a variational quantum eigensolver to obtain the ground state of the system in the absence of an external field. With this as the initial state, we perform real-time evolution under an external field via a fixed-depth, parameterized circuit whose parameters are updated using McLachlan's variational principle. We use the same ansatz for initial-state preparation and time evolution, by which we are able to reduce the overall circuit depth. We test our method with a classical simulator and confirm that the results agree well with exact diagonalization.

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Ansatz Parameterized complexity Physics Quantum Field (mathematics) Quantum algorithm Time evolution Gauge (firearms) Quantum dynamics Ground state Gauge theory State (computer science) Statistical physics Algorithm Computer science Quantum mechanics Mathematics Archaeology History Pure mathematics

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Type: article
Language: en
Landing Page: https://doi.org/10.1103/physrevd.108.034501
PDF: http://link.aps.org/pdf/10.1103/PhysRevD.108.034501
OA Status: hybrid
Cited By: 23
References: 104
Related Works: 10
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DOI: https://doi.org/10.1103/physrevd.108.034501

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Title: Quench dynamics of the Schwinger model via variational quantum algorithms

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Language: en

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Publication year: 2023

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Publication date: 2023-08-02

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Authors: Lento Nagano, Aniruddha Bapat, C. Bauer

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Landing page: https://doi.org/10.1103/physrevd.108.034501

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Concepts: Ansatz, Parameterized complexity, Physics, Quantum, Field (mathematics), Quantum algorithm, Time evolution, Gauge (firearms), Quantum dynamics, Ground state, Gauge theory, State (computer science), Statistical physics, Algorithm, Computer science, Quantum mechanics, Mathematics, Archaeology, History, Pure mathematics

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Cited by: 23

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