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One of the methods proposed in the last years for studying non-perturbativegauge theory physics is quantum simulation, where lattice gauge theories aremapped onto quantum devices which can be built in the laboratory, or quantumcomputers. While being very promising and already showing some experimentalresults, these methods still face several challenges related to the interfacebetween the technological capabilities and the demands of the simulated models;in particular, one such challenge is the need to simulate infinitelydimensional local Hilbert spaces, describing the gauge fields on the links inthe case of compact Lie gauge groups, requiring some truncations andapproximations which are not completely understood or controllable in thegeneral case. This work proposes a way to obtain arbitrarily large such localHilbert spaces by using coarse graining of simple, low dimensional qubitsystems, made of components available on most quantum simulation platforms, andthus opening the way of new types of lattice gauge theory quantum simulations.

Real-space blocking of qubit variables on parallel lattice gauge theory links for quantum simulation