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Resonating valence bond states in the PEPS formalism

Resonating valence bond states in the PEPS formalism

We study resonating valence bond (RVB) states in the projected entangled pair states (PEPS) formalism. Based on symmetries in the PEPS description, we establish relations between the toric code state, the orthogonal dimer state, and the $\mathrm{SU}(2)$ singlet RVB state on the kagome lattice: We prove the equivalence of toric …