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Over the recent years, the relatively young field of quantum simulation oflattice gauge theories - aiming at implementing simulators of gauge theorieswith quantum platforms, has gone through a rapid development process. It is nowof interest not only to people in the quantum information and technologycommunity, but also seen as a valid tool for tackling hard, nonperturbativegauge theory physics by more and more particle and nuclear physicists. Alongthe theoretical progress, nowadays more and more experiments which actuallyimplement such simulators are being reported, manifesting beautiful results,but mostly on $1+1$ dimensional physics. In this paper, we review the essentialingredients and requirements of lattice gauge theories in more dimensions,discuss their meanings, the challenges they impose and how they could be dealtwith, potentially, aiming at the next steps of this field towards simulatingchallenging physical problems.

philosophical transactions - royal society. mathematical, physical and engineering sciences/philosophical transactions - royal society. mathematical, physical and engineering sciences

Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods