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One of the central challenges in the study of quantum many-body systems is the complexity of simulating them on a classical computer.
The renormalization group: Critical phenomena and the kondo problem
Kenneth G Wilson · 1975
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Richard P. Feynman · 1982
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Class of quantum many-body states that can be efficiently simulated
G. Vidal · 2008
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Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
Frank Verstraete, Valentin Murg, and J Ignacio Cirac · 2008
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Area law for the entropy of low-energy states
Lluís Masanes · 2009
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Niel de Beaudrap, Tobias J Osborne, and Jens Eisert · 2010
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Dorit Aharonov, Itai Arad, Umesh Vazirani, and Zeph Landau · 2011
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Local reversibility and entanglement structure of many-body ground states
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Locality of temperature
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Simple proof of the detectability lemma and spectral gap amplification
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Rigorous renormalization group method for ground space and low-energy states of local Hamiltonians
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