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An area law is proved for the Renyi entanglement entropy of possibly degenerate ground states in one-dimensional gapped quantum systems.
Density matrix formulation for quantum renormalization groups
S. R. White · 1992
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Density-matrix algorithms for quantum renormalization groups
S. R. White · 1993
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Lieb-Schultz-Mattis in higher dimensions
M. B. Hastings · 2004
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Aspects of generic entanglement
P. Hayden, D. W. Leung, and A. Winter · 2006
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Matrix product states represent ground states faithfully
F. Verstraete and J. I. Cirac · 2006
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An area law for one-dimensional quantum systems
M. B. Hastings · 2007
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Entropy scaling and simulability by matrix product states
N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac · 2008
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Colloquium: Area laws for the entanglement entropy
J. Eisert, M. Cramer, and M. B. Plenio · 2010
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Entanglement versus gap for one-dimensional spin systems
D. Gottesman and M. B. Hastings · 2010
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Ground state entanglement in one-dimensional translationally invariant quantum systems
S. Irani · 2010
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Improved one-dimensional area law for frustration-free systems
I. Arad, Z. Landau, and U. Vazirani · 2012
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Hamiltonian complexity
T. J. Osborne · 2012
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An area law and sub-exponential algorithm for 1D systems
I. Arad, A. Kitaev, Z. Landau, and U. Vazirani · 2013
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Universal quantum computation with little entanglement
M. Van den Nest · 2013
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Connecting global and local energy distributions in quantum spin models on a lattice
I. Arad, T. Kuwahara, and Z. Landau · 2014
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Application of quantum information theory in quantum Hamiltonian complexity
A. Harrow · 2014
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Area law in one dimension: Degenerate ground states and Renyi entanglement entropy
Y. Huang · 2014
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An efficient algorithm for finding the ground state of 1D gapped local hamiltonians
Z. Landau, U. Vazirani, and T. Vidick · 2014
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Exponential decay of correlations implies area law
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An area law for entanglement from exponential decay of correlations
F. G. S. L. Brandao and M. Horodecki · 2013
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F. G. S. L. Brandao and M. Horodecki · 2015
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