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Projected Entangled Pair States (PEPS) provide a framework for the construction of models where a single tensor gives rise to both Hamiltonian and ground state wavefunction on the same footing.
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Given the notorious difficulty to establish mathematically rigorous results about symmetry breaking for most classical models Simon 2014 , and the fact that any classical model corresponds to a PEPS model Verstraete et al. 2006 , a fully rigorous derivation is indeed elusive
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