Fetching the paper…
Reading the bibliography…
Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes.
E. H. Lieb and D. W. Robinson, The finite group velocity of quantum spin systems , Comm. Math. Phys. 28
1972
Earlier work this paper cites.
J. M. Maldacena, The large n limit of superconformal field theories and supergravity , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
E. Witten, Anti de sitter space and holography , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, Large n field theories, string theory and gravity , Phys.Rept. 323
2000
Earlier work this paper cites.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons , Annals Phys. 303
2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from ads/cft , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Bravyi, M. B. Hastings and F. Verstraete, Lieb-robinson bounds and the generation of correlations and topological quantum order , Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
G. Vidal, Entanglement renormalization , Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
G. Evenbly and G. Vidal, Algorithms for entanglement renormalization , Phys. Rev. B 79
2007
Earlier work this paper cites.
V. Giovannetti, S. Montangero and R. Fazio, Quantum mera channels , Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
D. Kretschmann, D. Schlingemann and R. F. Werner, The information-disturbance tradeoff and the continuity of stinespring’s representation , IEEE Transactions on Information Theory 54
2008
Cited alongside, same era.
G. Vidal, Class of quantum many-body states that can be efficiently simulated , Phys. Rev. Lett. 101
2008
Cited alongside, same era.
R. N. C. Pfeifer, G. Evenbly and G. Vidal, Entanglement renormalization, scale invariance, and quantum criticality , Phys. Rev. A 79
2009
Cited alongside, same era.
G. Evenbly and G. Vidal, Entanglement renormalization in two spatial dimensions , Phys. Rev. Lett. 102
2009
Cited alongside, same era.
S. Bravyi and B. Terhal, A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes , New J. Phys. 11
2009
Cited alongside, same era.
B. Swingle, Entanglement renormalization and holography , Phys. Rev. D 86
2012
Later among the works it cites.
A. Castro, M. R. Gaberdiel, T. Hartman, A. Maloney and R. Volpato, Gravity dual of the ising model , Phys. Rev. D 85
2012
Later among the works it cites.
M. M. Wolf, Quantum channels & operations: Guided tour. , http://www-m5.ma.tum.de/foswiki/pub/M5/Allgemeines/MichaelWolf/QChannelLecture.pdf (2012)
2012
Later among the works it cites.
A. J. Ferris and D. Poulin, Tensor networks and quantum error correction , Phys. Rev. Lett. 113
2014
Later among the works it cites.
A. Almheiri, X. Dong and D. Harlow, Bulk locality and quantum error correction in ads/cft , JHEP 1504
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from conformal field theory , JHEP 2009
2009
Cited alongside, same era.
M. V. Raamsdonk, Building up spacetime with quantum entanglement , Int.J.Mod.Phys.D 19
2010
Cited alongside, same era.
C. Bény and O. Oreshkov, General conditions for approximate quantum error correction and near-optimal recovery channels , Phys. Rev. Lett. 104
2010
Cited alongside, same era.
S. Bravyi, D. Poulin and B. Terhal, Tradeoffs for reliable quantum information storage in 2d systems , Phys. Rev. Lett. 104
2010
Cited alongside, same era.
Cambridge University Press, New York, NY, USA, 10th ed., 2011
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition · 2011
Cited alongside, same era.
Cited in the paper.
B. Swingle, Constructing holographic spacetimes using entanglement renormalization , 1209.3304v1
Cited in the paper.
F. Pastawski, B. Yoshida, D. Harlow and J. Preskill, Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence , JHEP 06
2015
Later among the works it cites.
M. Miyaji, T. Numasawa, N. Shiba, T. Takayanagi and K. Watanabe, Continuous multiscale entanglement renormalization ansatz as holographic surface-state correspondence , Phys. Rev. Lett. 115
2015
Later among the works it cites.
Z. Yang, P. Hayden and X.-L. Qi, Bidirectional holographic codes and sub-ads locality , JHEP 2016
2016
Closest in time.
P. Hayden, S. Nezami, X.-L. Qi, N. Thomas, M. Walter and Z. Yang, Holographic duality from random tensor networks , JHEP 11
2016
Closest in time.