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For every Matrix Product State (MPS) one can always construct a so-called parent Hamiltonian.
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arXiv:quant-ph/1301.1162
I. Arad, A. Kitaev, Z. Landau and U. Vazirani, An area law and sub-exponential algorithm for 1D systems ,
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Gapless Hamiltonians for the toric code using the PEPS formalism ,
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Classifying quantum phases using matrix product states and projected entangled pair states ,
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Phys. Rev. B 86
N. Schuch, D. Poilblanc, J. I. Cirac and D. Pérez-Garcia, Resonating valence bond states in the PEPS formalism , · 2012
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Robustness in Projected Entangled Pair States ,
J.I. Cirac, S. Michalakis ,D. Pérez-García and I. Cirac, · 2013
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Ground state uniqueness of the twelve site RVB spin-liquid parent Hamiltonian on the kagome lattice
Z. Zhou, J. Wildeboer, A. Seidel, · 2014
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