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Strongly-correlated quantum many-body systems exhibits a variety of exoticphases with long-range quantum correlations, such as spin liquids andsupersolids. Despite the rapid increase in computational power of moderncomputers, the numerical simulation of these complex systems becomesintractable even for a few dozens of particles. Feynman's idea of quantumsimulators offers an innovative way to bypass this computational barrier.However, the proposed realizations of such devices either require very lowtemperatures (ultracold gases in optical lattices, trapped ions,superconducting devices) and considerable technological effort, or areextremely hard to scale in practice (NMR, linear optics). In this work, wepropose a new architecture for a scalable quantum simulator that can operate atroom temperature. It consists of strongly-interacting nuclear spins attached tothe diamond surface by its direct chemical treatment, or by means of afunctionalized graphene sheet. The initialization, control and read-out of thisquantum simulator can be accomplished with nitrogen-vacancy centers implantedin diamond. The system can be engineered to simulate a wide variety ofinteresting strongly-correlated models with long-range dipole-dipoleinteractions. Due to the superior coherence time of nuclear spins andnitrogen-vacancy centers in diamond, our proposal offers new opportunitiestowards large-scale quantum simulation at room temperatures.

Towards a large-scale quantum simulator on diamond surface at room temperature