Fetching the paper…
Reading the bibliography…
We introduce a tensor network designed to faithfully simulate the AdS/CFT correspondence, akin to the multi-scale entanglement renormalization ansatz (MERA), following hyper-invariant tensor network.
P. H. Ginsparg, Applied conformal field theory, in Les Houches Summer School in Theoretical Physics: Fields, Strings, Critical Phenomena (1988) arXiv:hep-th/9108028
1988
Earlier work this paper cites.
C. Holzhey, F. Larsen, and F. Wilczek, Geometric and renormalized entropy in conformal field theory, Nucl. Phys. B 424
1994
Earlier work this paper cites.
J. M. Maldacena, The large-n limit of superconformal field theories and supergravity, ATMP 2
1998
Earlier work this paper cites.
E. Witten, Anti de Sitter space and holography, ATMP 2
1998
Earlier work this paper cites.
B. Kraus and J. I. Cirac, Optimal creation of entanglement using a two-qubit gate, Phys. Rev. A 63
2001
Earlier work this paper cites.
K. Hammerer, G. Vidal, and J. I. Cirac, Characterization of nonlocal gates, Phys. Rev. A 66
2002
Earlier work this paper cites.
J. Zhang, J. Vala, K. B. Whaley, and S. Sastry, Geometric theory of nonlocal two-qubit operations, Phys. Rev. A 67
2003
Earlier work this paper cites.
M. A. Nielsen, C. M. Dawson, J. L. Dodd, A. Gilchrist, D. Mortimer, T. J. Osborne, M. J. Bremner, A. W. Harrow, and A. Hines, Quantum dynamics as a physical resource, Phys. Rev. A 67
2003
Earlier work this paper cites.
M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. Nest, and H. Briegel, Entanglement in graph states and its applications, Proceedings of the International School of Physics "Enrico Fermi" 162
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from the anti–de Sitter space/conformal field theory correspondence, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
J. B. Conway, A Course in Functional Analysis (Springer, New York, 2007)
2007
Earlier work this paper cites.
R. N. C. Pfeifer, G. Evenbly, and G. Vidal, Entanglement renormalization, scale invariance, and quantum criticality, Phys. Rev. A 79
2009
Earlier work this paper cites.
J. Eisert, M. Cramer, and M. B. Plenio, Colloquium: Area laws for the entanglement entropy, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
G. Evenbly and G. Vidal, Tensor network states and geometry, J. Stat. Phys. 145
2011
Cited alongside, same era.
G. Evenbly and G. Vidal, Algorithms for entanglement renormalization: Boundaries, impurities and interfaces, J. Stat. Phys. 157
2014
Cited alongside, same era.
D. Goyeneche, D. Alsina, J. I. Latorre, A. Riera, and K. Życzkowski, Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices, Phys. Rev. A 92
2015
Cited alongside, same era.
A. Bhattacharyya, Z.-S. Gao, L.-Y. Hung, and S.-N. Liu, Exploring the tensor networks/ads correspondence, Journal of High Energy Physics 2016
2016
Cited alongside, same era.
M. Akila, D. Waltner, B. Gutkin, and T. Guhr, Particle-time duality in the kicked Ising spin chain, J. Phys. A: 49
2016
Cited alongside, same era.
F. Huber and N. Wyderka, Table of AME states & perfect tensors, Available online at: (2019), https://tp.nt.uni-siegen.de/ame/ame.html
2019
Later among the works it cites.
A. Jahn, M. Gluza, F. Pastawski, and J. Eisert, Majorana dimers and holographic quantum error-correcting codes, Phys. Rev. Res. 1
2019
Later among the works it cites.
D. Poland, S. Rychkov, and A. Vichi, The Conformal Bootstrap: Theory, numerical techniques, and applications, Rev. Mod. Phys. 91
2019
Later among the works it cites.
A. Jahn, Z. Zimborás, and J. Eisert, Central charges of aperiodic holographic tensor network models, Phys. Rev. A 102
2020
Later among the works it cites.
A. Jahn and J. Eisert, Holographic tensor network models and quantum error correction: a topical review, QST 6
2021
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
G. Evenbly, Hyperinvariant tensor networks and holography, Phys. Rev. Lett. 119
2017
Cited alongside, same era.
B. Jonnadula, P. Mandayam, K. Życzkowski, and A. Lakshminarayan, Impact of local dynamics on entangling power, Phys. Rev. A 95
2017
Cited alongside, same era.
D. Goyeneche, Z. Raissi, S. Di Martino, and K. Życzkowski, Entanglement and quantum combinatorial designs, Phys. Rev. A 97
2018
Cited alongside, same era.
A. Bhattacharyya, L.-Y. Hung, Y. Lei, and W. Li, Tensor network and (p-adic) ads/cft, Journal of High Energy Physics 2018
2018
Cited alongside, same era.
R. J. Harris, N. A. McMahon, G. K. Brennen, and T. M. Stace, Calderbank-steane-shor holographic quantum error correcting codes, arXiv preprint arXiv: 1806.06472 (2018)
2018
Cited alongside, same era.
F. Huber, C. Eltschka, J. Siewert, and O. Gühne, Bounds on absolutely maximally entangled states from shadow inequalities, and the quantum MacWilliams identity, J. Phys. A 51
2018
Cited alongside, same era.
A. Mandarino, T. Linowski, and K. Życzkowski, Bipartite unitary gates and billiard dynamics in the Weyl chamber, Phys. Rev. A 98
2018
Cited alongside, same era.
Y. Wang, Planar k-uniform states: a generalization of planar maximally entangled states, Quantum Inf. Process. 20
2021
Later among the works it cites.
C. Cao, J. Pollack, and Y. Wang, Hyperinvariant multiscale entanglement renormalization ansatz: Approximate holographic error correction codes with power-law correlations, Phys. Rev. D 105
2022
Later among the works it cites.
M. Steinberg and J. Prior, Conformal properties of hyperinvariant tensor networks, Sci. Rep. 12
2022
Later among the works it cites.
S. A. Rather, A. Burchardt, W. Bruzda, G. Rajchel-Mieldzioć, A. Lakshminarayan, and K. Życzkowski, Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem, Phys. Rev. Lett. 128
2022
Later among the works it cites.
M. Steinberg, S. Feld, and A. Jahn, Holographic codes from hyperinvariant tensor networks, Nat. Commun. 14
2023
Later among the works it cites.
R. Bistroń, J. Czartowski, and K. Życzkowski, Genuinely quantum families of 2-unitary matrices, arXiv preprint: 2312.17719 https://doi.org/10.48550/arXiv.2312.17719 (2023)
2023
Later among the works it cites.
M. Steinberg, J. Fan, R. J. Harris, D. Elkouss, S. Feld, and A. Jahn, Far from perfect: Quantum error correction with (hyperinvariant) Evenbly codes, arXiv preprint: 2407.11926 https://doi.org/10.48550/arXiv.2407.11926 (2024)
2024
Closest in time.