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We prove that the entanglement entropy of the ground state of a locally gapped frustration-free 2D lattice spin system satisfies an area law with respect to a vertical bipartition of the lattice into left and right regions.
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F. Verstraete, V. Murg, and J. I. Cirac · 2008
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D. Aharonov, I. Arad, Z. Landau, and U. Vazirani · 2009
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Area law for the entropy of low-energy states
L. Masanes · 2009
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Ground states of unfrustrated spin hamiltonians satisfy an area law
N. de Beaudrap, T. J. Osborne, and J. Eisert · 2010
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F. G. S. L. Brandão and M. Cramer · 2015
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J. Gao · 2015
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Z. Landau, U. Vazirani, and T. Vidick · 2015
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A. Anshu, I. Arad, and T. Vidick · 2016
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Area law of noncritical ground states in 1d long-range interacting systems
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