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Quantum simulation of Lattice Gauge Theories has been proposed and used as a method to overcome theoretical difficulties in dealing with the non-perturbative nature of such models.
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E. Zohar, Quantum simulation of lattice gauge theories in more than one space dimensio: requirements, challenges and methods, Phil. Trans. R. Soc. A: Math., Phys. and Eng. 380
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E. Zohar and J. Cirac, Removing staggered fermionic matter in U ( N ) U(N) and S U ( N ) SU(N) lattice gauge theories, Physical Review D 99
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2021
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T. Armon, S. Ashkenazi, G. García-Moreno, A. González-Tudela, and E. Zohar, Photon-mediated stroboscopic quantum simulation of a 𝕫 2 {\mathbb{z}}_{2} lattice gauge theory, Phys. Rev. Lett. 127
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L. Homeier, C. Schweizer, M. Aidelsburger, A. Fedorov, and F. Grusdt, 𝕫 2 {\mathbb{z}}_{2} lattice gauge theories and kitaev’s toric code: A scheme for analog quantum simulation, Phys. Rev. B 104
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E. J. Gustafson and H. Lamm, Toward quantum simulations of 𝕫 2 {\mathbb{z}}_{2} gauge theory without state preparation, Phys. Rev. D 103
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