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@ARTICLE{Crippa:634609,
      author       = {Crippa, Arianna and Romiti, Simone and Funcke, Lena and
                      Jansen, Karl and Kühn, Stefan and Stornati, Paolo and
                      Urbach, Carsten},
      title        = {{T}owards determining the (2+1)-dimensional {Q}uantum
                      {E}lectrodynamics running coupling with {M}onte {C}arlo and
                      quantum computing methods},
      reportid     = {PUBDB-2025-02523, arXiv:2404.17545. DESY-25-118},
      year         = {2024},
      abstract     = {In this paper, we examine a compact $U(1)$ lattice gauge
                      theory in $(2+1)$ dimensions and present a strategy for
                      studying the running coupling and extracting the
                      non-perturbative $Λ$-parameter. To this end, we combine
                      Monte Carlo simulations and quantum computing, where the
                      former can be used to determine the numerical value of the
                      lattice spacing $a$, and the latter allows for reaching the
                      perturbative regime at very small values of the bare
                      coupling and, correspondingly, small values of $a$. The
                      methodology involves a series of sequential steps (i.e., the
                      step scaling function) to bridge results from small lattice
                      spacings to non-perturbative large-scale lattice
                      calculations. Focusing on the pure gauge case, we
                      demonstrate that these quantum circuits, adapted to gauge
                      degrees of freedom, are able to capture the relevant physics
                      by studying the expectation value of the plaquette operator,
                      for matching with corresponding Monte Carlo simulations. We
                      also present results for the static potential and static
                      force, which can be related to the renormalized coupling.
                      The procedure outlined in this work can be extended to
                      Abelian and non-Abelian lattice gauge theories with matter
                      fields and might provide a way towards studying lattice
                      quantum chromodynamics utilizing both quantum and classical
                      methods.},
      cin          = {CQTA},
      cid          = {I:(DE-H253)CQTA-20221102},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / QUEST -
                      QUantum computing for Excellence in Science and Technology
                      (101087126) / DFG project G:(GEPRIS)511713970 - SFB 1639:
                      NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik
                      und Strukturbildung in Quantensystemen (511713970) / DFG
                      project G:(GEPRIS)390534769 - EXC 2004: Materie und Licht
                      für Quanteninformation (ML4Q) (390534769) / PASQuanS2.1 -
                      Programmable Atomic Large-scale Quantum Simulation 2 - SGA1
                      (101113690) / NeQST - NExt level Quantum information
                      processing for Science and Technology (101080086) / JUNIOR
                      LEADER - Junior Leader la Caixa Postdoctoral Fellowship
                      Programme: Shaping the new generation of leaders in research
                      (847648)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101087126 /
                      G:(GEPRIS)511713970 / G:(GEPRIS)390534769 /
                      G:(EU-Grant)101113690 / G:(EU-Grant)101080086 /
                      G:(EU-Grant)847648},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2404.17545},
      howpublished = {arXiv:2404.17545},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2404.17545;\%\%$},
      doi          = {10.3204/PUBDB-2025-02523},
      url          = {https://bib-pubdb1.desy.de/record/634609},
}