Fetching the paper…
Reading the bibliography…
It is commonly believed that area laws for entanglement entropies imply that a quantum many-body state can be faithfully represented by efficient tensor network states - a conjecture frequently stated in the context of numerical simulations and analytical considerations.
D. Gottesman, Class of quantum error-correcting codes saturating the quantum Hamming bound , Phys. Rev. A 54
1996
Earlier work this paper cites.
I. Newman and M. Szegedy, Public vs. private coin flips in one round communication games (extended abstract) , in In Proc. 28th ACM Symp. on the Theory of Computing (ACM Press, 1996), pp. 561–570
1996
Earlier work this paper cites.
H. Buhrman, R. Cleve, J. Watrous, and R. de Wolf, Quantum fingerprinting , Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
M. B. Plenio, J. Eisert, J. Dreissig, and M. Cramer, Entropy, entanglement, and area: analytical results for harmonic lattice systems , Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
S. Aaronson, Quantum computing, post-selection, and probabilistic polynomial-time , Proc. Roy. Soc. A 461
2005
Earlier work this paper cites.
M. Cramer and J. Eisert, Correlations, spectral gap, and entanglement in harmonic quantum systems on generic lattices , New J. Phys. 8
2006
Earlier work this paper cites.
M. Cramer, J. Eisert, M. B. Plenio, and J. Dreissig, An entanglement-area law for general bosonic harmonic lattice systems , Phys. Rev. A 73
2006
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Matrix product states represent ground states faithfully , Phys. Rev. B 73
2006
Earlier work this paper cites.
M. B. Hastings and T. Koma, Spectral gap and exponential decay of correlations , Commun. Math. Phys. 265
2006
Earlier work this paper cites.
G. Vidal, Entanglement renormalization , Phys. Rev. Lett. 99
2007
Cited alongside, same era.
C. Mora, H. Briegel, and B. Kraus, Quantum Kolmogorov complexity and its applications , Int. J. Quant. Inf. 05
2007
Cited alongside, same era.
F. Verstraete, V. Murg, and J. I. Cirac, Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems , Adv. Phys. 57
2008
Cited alongside, same era.
N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Entropy scaling and simulability by matrix product states , Phys. Rev. Lett. 100
2008
Cited alongside, same era.
L. Masanes, Area law for the entropy of low-energy states , Phys. Rev. A 80
2009
Cited alongside, same era.
D. Poulin, A. Qarry, R. Somma, and F. Verstraete, Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space , Phys. Rev. Lett. 106
2011
Later among the works it cites.
M. Kliesch, T. Barthel, C. Gogolin, M. Kastoryano, and J. Eisert, Dissipative Quantum Church-Turing theorem , Phys. Rev. Lett. 107
2011
Later among the works it cites.
X. Chen, Z.-C. Gu, and X.-G. Wen, Complete classification of 1d gapped quantum phases in interacting spin systems , Phys. Rev. B 83
2011
Later among the works it cites.
A. M. Turner, F. Pollmann, and E. Berg, Topological phases of one-dimensional fermions: An entanglement point of view , Phys. Rev. B 83
2011
Later among the works it cites.
N. Schuch, D. Perez-Garcia, and I. Cirac, Classifying quantum phases using matrix product states and PEPS , Phys. Rev. B 84
2011
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
J. Eisert, M. Cramer, and M. B. Plenio, Area laws for the entanglement entropy , Rev. Mod. Phys. 82
2010
Cited alongside, same era.
N. de Beaudrap, M. Ohliger, T. J. Osborne, and J. Eisert, Solving frustration-free spin systems , Phys. Rev. Lett. 105
2010
Cited alongside, same era.
P. Hayden, Concentration of measure effects in quantum information , Proc. Symp. App. Math. 68
2010
Cited alongside, same era.
U. Schollwöck, The density-matrix renormalization group in the age of matrix product states , Ann. Phys. 326
2011
Cited alongside, same era.
M. B. Hastings, An area law for one-dimensional quantum systems , J. Stat. Mech P08024
Cited in the paper.
Cited in the paper.
Cited in the paper.
Later among the works it cites.
I. Arad, Z. Landau, and U. Vazirani, Improved one-dimensional area law for frustration-free systems , Phys. Rev. B 85
2012
Later among the works it cites.
F. G. S. L. Brandão and M. Horodecki, An area law for entanglement from exponential decay of correlations , Nature Physics 9
2013
Later among the works it cites.
K. Van Acoleyen, M. Mariën, and F. Verstraete, Entanglement rates and area laws , Phys. Rev. Lett. 111
2013
Later among the works it cites.