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Recent progress in studies of holographic dualities, originally motivated by insights from string theory, has led to a confluence with concepts and techniques from quantum information theory.
N. Bao, G. Penington, J. Sorce, and A. C. Wall, “Holographic tensor networks in full AdS/CFT,” 2019,
1902
Earlier work this paper cites.
doi:10.1103/PhysRevD.100.065025
J. J. Fernandez-Melgarejo, J. Molina-Vilaplana, and E. Torrente-Lujan, “Entanglement renormalization for interacting field theories,” · 1904
Earlier work this paper cites.
Y. Zou, M. Ganahl, and G. Vidal, “Magic entanglement renormalization for quantum fields,” 2019,
1906
Earlier work this paper cites.
doi:10.1103/PhysRevA.101.042305
P. Mazurek, M. Farkas, A. Grudka, M. Horodecki, and M. Studziński, “Quantum error correction codes and absolutely maximally entangled states,” · 1910
Earlier work this paper cites.
1911
Earlier work this paper cites.
doi:10.1103/PhysRevA.102.042407
A. Jahn, Z. Zimborás, and J. Eisert, “Central charges of aperiodic holographic tensor network models,” · 1911
Earlier work this paper cites.
1912
Earlier work this paper cites.
1912
Earlier work this paper cites.
doi:10.1007/BF02980577
E. Ising, “Beitrag zur Theorie des Ferromagnetismus,” · 1925
Earlier work this paper cites.
A. Rényi, “On measures of information and entropy,”
1960
Earlier work this paper cites.
doi:10.1137/0108018
I. S. Reed and G. Solomon, “Polynomial codes over certain finite fields,” · 1960
Earlier work this paper cites.
doi:10.1103/PhysRev.159.1251
S. Coleman and J. Mandula, “All possible symmetries of the · 1967
Earlier work this paper cites.
doi:10.1103/PhysRevD.7.2333
J. D. Bekenstein, “Black holes and entropy,” · 1973
Earlier work this paper cites.
doi:10.1016/0550-3213(74)90154-0
G. Hooft, “A planar diagram theory for strong interactions,” · 1974
Earlier work this paper cites.
doi:10.1007/BF02345020
S. W. Hawking, “Particle creation by black holes,” · 1975
Earlier work this paper cites.
doi:10.1016/0550-3213(75)90279-5
R. Haag, J. T. Lopuszanski, and M. Sohnius, “All possible generators of supersymmetries of the s-matrix,” · 1975
Earlier work this paper cites.
doi:10.1016/0550-3213(77)90206-1
F. Gliozzi, J. Scherk, and D. Olive, “Supersymmetry, supergravity theories and the dual spinor model,” · 1977
Earlier work this paper cites.
doi:10.1016/0370-2693(81)90743-7
A. Polyakov, “Quantum geometry of bosonic strings,” · 1981
Earlier work this paper cites.
doi:10.1038/299802a0
W. K. Wootters and W. H. Zurek, “A single quantum cannot be cloned,” · 1982
Earlier work this paper cites.
doi:10.1016/0375-9601(82)90084-6
D. Dieks, “Communication by EPR devices,” · 1982
Earlier work this paper cites.
doi:10.1007/BF01211590
J. D. Brown and M. Henneaux, “Central charges in the canonical realization of asymptotic symmetries: An Example from three-dimensional gravity,” · 1986
Earlier work this paper cites.
doi:10.1016/0550-3213(88)90604-9
J. L. Cardy and I. Peschel, “Finite size dependence of the free energy in two-dimensional critical systems,” · 1988
Earlier work this paper cites.
doi:10.1142/S0217732389002331
J. Dai, R. Leigh, and J. Polchinski, “New connections between string theories,” · 1989
Earlier work this paper cites.
doi:10.1007/BFb0113507
D. Lüst and S. Theisen, “Lectures on string theory,” in · 1989
Earlier work this paper cites.
doi:10.1016/0550-3213(91)90440-9
G. T. Horowitz and A. Strominger, “Black strings and P-branes,” · 1991
Earlier work this paper cites.
G. ’t Hooft, “Dimensional reduction in quantum gravity,”
1993
Earlier work this paper cites.
doi:10.1103/PhysRevLett.71.666
M. Srednicki, “Entropy and area,” · 1993
Earlier work this paper cites.
doi:10.1016/0550-3213(94)90402-2
C. Holzhey, F. Larsen, and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” · 1994
Earlier work this paper cites.
doi:10.1063/1.531249
L. Susskind, “The world as a hologram,” · 1995
Earlier work this paper cites.
doi:10.1016/0550-3213(95)00158-O
E. Witten, “String theory dynamics in various dimensions,” · 1995
Earlier work this paper cites.
doi:10.1103/PhysRevA.52.R2493
P. W. Shor, “Scheme for reducing decoherence in quantum computer memory,” · 1995
Earlier work this paper cites.
doi:10.1098/rspa.1996.0136
A. Steane, “Multiple particle interference and quantum error correction,” · 1996
Earlier work this paper cites.
A. Ekert and C. Macchiavello, “Quantum error correction for communication,” 1996,
1996
Earlier work this paper cites.
doi:10.1103/PhysRevA.54.3824
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, “Mixed state entanglement and quantum error correction,” · 1996
Earlier work this paper cites.
doi:10.1103/PhysRevLett.77.198
R. Laflamme, C. Miquel, J. P. Paz, and W. H. Zurek, “Perfect quantum error correcting code,” · 1996
Earlier work this paper cites.
doi:10.1103/PhysRevA.54.1862
D. Gottesman, “Class of quantum error-correcting codes saturating the quantum hamming bound,” · 1996
Earlier work this paper cites.
doi:10.1103/PhysRevA.54.1098
A. Calderbank and P. W. Shor, “Good quantum error correcting codes exist,” · 1996
Earlier work this paper cites.
PhD thesis
D. Gottesman, “Stabilizer codes and quantum error correction,” 1997, · 1997
Earlier work this paper cites.
doi:10.1070/rm1997v052n06abeh002155
A. Y. Kitaev, “Quantum computations: Algorithms and error correction,” · 1997
Earlier work this paper cites.
Cambridge University Press, 1998
J. Polchinski, · 1998
Earlier work this paper cites.
doi:10.1088/1126-6708/1998/12/012
E. Witten, “AdS / CFT correspondence and topological field theory,” · 1998
Earlier work this paper cites.
doi:10.4310/ATMP.1998.v2.n2.a2
E. Witten, “Anti-de Sitter space and holography,” · 1998
Earlier work this paper cites.
doi:10.1103/PhysRevLett.81.2152
D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” · 1998
Earlier work this paper cites.
J. P. Preskill, “Lecture notes for physics 229: Quantum information and computation.” California Institute of Technology, 1998
1998
Earlier work this paper cites.
doi:10.1088/1126-6708/1999/07/004
R. Bousso, “A Covariant entropy conjecture,” · 1999
Earlier work this paper cites.
doi:10.1023/A:1026654312961
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” · 1999
Earlier work this paper cites.
doi:10.1103/PhysRevLett.83.648
R. Cleve, D. Gottesman, and H.-K. Lo, “How to share a quantum secret,” · 1999
Earlier work this paper cites.
doi:10.1016/S0370-1573(99)00083-6
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri, and Y. Oz, “Large N field theories, string theory and gravity,” · 2000
Earlier work this paper cites.
doi:10.1103/PhysRevLett.84.2525
E. Knill and R. Laflamme, “A Theory of quantum error correcting codes,” · 2000
Earlier work this paper cites.
doi:10.1063/1.1499754
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, “Topological quantum memory,” · 2002
Earlier work this paper cites.
doi:10.1063/1.1498001
B. M. Terhal, M. Horodecki, D. W. Leung, and D. P. DiVincenzo, “The entanglement of purification,” · 2002
Earlier work this paper cites.
doi:10.1137/S0097539700377025
L. G. Valiant, “Quantum circuits that can be simulated classically in polynomial time,” · 2002
Earlier work this paper cites.
doi:10.1088/1126-6708/2003/04/021
J. M. Maldacena, “Eternal black holes in anti-de Sitter,” · 2003
Earlier work this paper cites.
Cambridge University Press, 2004
B. Zwiebach, · 2004
Earlier work this paper cites.
doi:10.1088/1742-5468/2004/06/P06002
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” · 2004
Earlier work this paper cites.
A. Jahn, Z. Zimborás, and J. Eisert, “Tensor network models of AdS/qCFT,” 2020,
2004
Earlier work this paper cites.
doi:10.1103/PhysRevLett.95.230504
D. Poulin, “Stabilizer formalism for operator quantum error correction,” · 2005
Earlier work this paper cites.
2005
Earlier work this paper cites.
2005
Earlier work this paper cites.
doi:10.1103/PhysRevA.73.012309
M. Cramer, J. Eisert, M. B. Plenio, and J. Dreissig, “An entanglement-area law for general bosonic harmonic lattice systems,” · 2006
Cited alongside, same era.
doi:10.1103/PhysRevB.73.094423
F. Verstraete and J. I. Cirac, “Matrix product states represent ground states faithfully,” · 2006
Cited alongside, same era.
D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac, “Matrix product state representations,” 2006,
2006
Cited alongside, same era.
doi:10.1007/s00220-006-0030-4
M. B. Hastings and T. Koma, “Spectral gap and exponential decay of correlations,” · 2006
Cited alongside, same era.
doi:10.1103/PhysRevLett.97.180501
H. Bombin and M. A. Martin-Delgado, “Topological quantum distillation,” · 2006
Cited alongside, same era.
doi:10.1103/PhysRevLett.96.181602
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from the anti-de Sitter space/conformal field theory correspondence,” · 2006
doi:10.1103/RevModPhys.87.307
B. M. Terhal, “Quantum error correction for quantum memories,” · 2015
Later among the works it cites.
doi:10.1103/PhysRevD.91.125036
N. Bao, C. Cao, S. M. Carroll, A. Chatwin-Davies, N. Hunter-Jones, J. Pollack, and G. N. Remmen, “Consistency conditions for an AdS multiscale entanglement renormalization ansatz correspondence,” · 2015
Later among the works it cites.
A. Almheiri, X. Dong, and D. Harlow, “Bulk locality and quantum error correction in AdS/CFT,” · 2015
Later among the works it cites.
J. I. Latorre and G. Sierra, “Holographic codes,” 2015,
2015
Later among the works it cites.
doi:10.1007/JHEP06(2015)149
F. Pastawski, B. Yoshida, D. Harlow, and J. Preskill, “Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence,” · 2015
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Cited alongside, same era.
doi:10.1088/1126-6708/2006/08/045
S. Ryu and T. Takayanagi, “Aspects of holographic entanglement entropy,” · 2006
Cited alongside, same era.
doi:10.1126/science.1121541
M. A. Nielsen, M. R. Dowling, M. Gu, and A. M. Doherty, “Quantum computation as geometry,” · 2006
Cited alongside, same era.
doi:10.1103/PhysRevD.74.066009
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, “Holographic representation of local bulk operators,” · 2006
Cited alongside, same era.
H. Nastase, “Introduction to AdS-CFT,” 2007,
2007
Cited alongside, same era.
doi:10.1088/1742-5468/2007/08/P08024
M. B. Hastings, “An area law for one-dimensional quantum systems,” · 2007
Cited alongside, same era.
doi:10.1103/PhysRevLett.99.220405
G. Vidal, “Entanglement renormalization,” · 2007
Cited alongside, same era.
Later among the works it cites.
B. Yoshida, “Quantum gravity from quantum error-correcting codes,”
2015
Later among the works it cites.
doi:10.1103/PhysRevA.92.032316
D. Goyeneche, D. Alsina, J. I. Latorre, A. Riera, and K. Zyczkowski, “Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices,” · 2015
Later among the works it cites.
M. Miyaji and T. Takayanagi, “Surface/state correspondence as a generalized holography,” · 2015
Later among the works it cites.
doi:10.1103/PhysRevLett.116.191301
A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle, and Y. Zhao, “Holographic complexity equals bulk action?,” · 2016
Later among the works it cites.
P. Hayden, S. Nezami, X.-L. Qi, N. Thomas, M. Walter, and Z. Yang, “Holographic duality from random tensor networks,” · 2016
Later among the works it cites.
doi:10.1103/PhysRevLett.117.021601
X. Dong, D. Harlow, and A. C. Wall, “Reconstruction of bulk operators within the entanglement wedge in gauge-gravity duality,” · 2016
Later among the works it cites.
N. Bao and I. H. Kim, “Precursor problem and holographic mutual information,” 2016,
2016
Later among the works it cites.
doi:10.1103/PhysRevB.94.115127
B. Ware, J. H. Son, M. Cheng, R. V. Mishmash, J. Alicea, and B. Bauer, “Ising anyons in frustration-free majorana-dimer models,” · 2016
Later among the works it cites.
doi:10.1007/jhep01(2016)175
Z. Yang, P. Hayden, and X.-L. Qi, “Bidirectional holographic codes and sub-ads locality,” · 2016
Later among the works it cites.
2016
Later among the works it cites.
doi:10.1103/PhysRevLett.119.141602
G. Evenbly, “Hyperinvariant tensor networks and holography,” · 2017
Later among the works it cites.
J. C. Bridgeman and C. T. Chubb, “Hand-waving and interpretive dance: an introductory course on tensor networks,” · 2017
Later among the works it cites.
C. Vuillot, “Is error detection helpful on IBM 5Q chips ?,” 2017,
2017
Later among the works it cites.
M. Rangamani and T. Takayanagi, · 2017
Later among the works it cites.
P. Gao, D. L. Jafferis, and A. C. Wall, “Traversable wormholes via a double trace deformation,” · 2017
Later among the works it cites.
doi:10.1142/9789813149441_0005
M. Van Raamsdonk, “Lectures on gravity and entanglement,” in · 2017
Later among the works it cites.
D. Harlow, “The Ryu–Takayanagi formula from quantum error correction,” · 2017
Later among the works it cites.
doi:10.1103/PhysRevX.7.021022
F. Pastawski and J. Preskill, “Code properties from holographic geometries,” · 2017
Later among the works it cites.
doi:10.1103/PhysRevLett.118.200502
F. Huber, O. Gühne, and J. Siewert, “Absolutely maximally entangled states of seven qubits Do not exist,” · 2017
Later among the works it cites.
W. Donnelly, B. Michel, D. Marolf, and J. Wien, “Living on the edge: A toy model for holographic reconstruction of algebras with centers,” · 2017
Later among the works it cites.
I. H. Kim and M. J. Kastoryano, “Entanglement renormalization, quantum error correction, and bulk causality,” · 2017
Later among the works it cites.
S. T. Flammia, J. Haah, M. J. Kastoryano, and I. H. Kim, “Limits on the storage of quantum information in a volume of space,” · 2017
Later among the works it cites.
doi:10.1103/PhysRevLett.119.020501
F. Pastawski, J. Eisert, and H. Wilming, “Towards holography via quantum source-channel codes,” · 2017
Later among the works it cites.
doi:10.1103/PhysRevD.95.066004
M. Miyaji, T. Takayanagi, and K. Watanabe, “From path integrals to tensor networks for the AdS/CFT correspondence,” · 2017
Later among the works it cites.
doi:10.1103/PhysRevLett.119.071602
P. Caputa, N. Kundu, M. Miyaji, T. Takayanagi, and K. Watanabe, “Anti-de Sitter space from optimization of path integrals in Conformal Field Theories,” · 2017
Later among the works it cites.
S. Chapman, H. Marrochio, and R. C. Myers, “Complexity of formation in holography,” · 2017
Later among the works it cites.
R. Jefferson and R. C. Myers, “Circuit complexity in quantum field theory,” · 2017
Later among the works it cites.
P. Caputa, N. Kundu, M. Miyaji, T. Takayanagi, and K. Watanabe, “Liouville action as path-integral complexity: From continuous tensor networks to AdS/CFT,” · 2017
Later among the works it cites.
D. Harlow, “TASI Lectures on the emergence of bulk physics in AdS/CFT,” · 2018
Later among the works it cites.
doi:10.1103/PhysRevD.97.026012
S. Singh, “Tensor network state correspondence and holography,” · 2018
Later among the works it cites.
T. Takayanagi and K. Umemoto, “Entanglement of purification through holographic duality,” · 2018
Later among the works it cites.
2018
Later among the works it cites.
X.-L. Qi and Z. Yang, “Space-time random tensor networks and holographic duality,” 2018,
2018
Later among the works it cites.
doi:10.1103/PhysRevA.98.052301
R. J. Harris, N. A. McMahon, G. K. Brennen, and T. M. Stace, “Calderbank-shor-steane holographic quantum error-correcting codes,” · 2018
Later among the works it cites.
doi:10.4310/ATMP.2018.v22.n1.a4
M. Heydeman, M. Marcolli, I. Saberi, and B. Stoica, “Tensor networks, · 2018
Later among the works it cites.
A. Milsted and G. Vidal, “Tensor networks as path integral geometry,” 2018,
2018
Later among the works it cites.
doi:10.1103/PhysRevLett.120.121602
S. Chapman, M. P. Heller, H. Marrochio, and F. Pastawski, “Towards a definition of complexity for quantum field theory states,” · 2018
Later among the works it cites.
doi:10.22331/q-2019-03-05-128
D. Litinski, “A game of surface codes: Large-scale quantum computing with lattice surgery,” · 2019
Later among the works it cites.
doi:10.1103/PhysRevLett.122.111601
P. Caputa, M. Miyaji, T. Takayanagi, and K. Umemoto, “Holographic entanglement of purification from conformal field theories,” · 2019
Later among the works it cites.
doi:10.1126/sciadv.aaw0092
A. Jahn, M. Gluza, F. Pastawski, and J. Eisert, “Holography and criticality in matchgate tensor networks,” · 2019
Later among the works it cites.
doi:10.1103/PhysRevResearch.1.033079
A. Jahn, M. Gluza, F. Pastawski, and J. Eisert, “Majorana dimers and holographic quantum error-correcting codes,” · 2019
Later among the works it cites.
N. Bao, G. Penington, J. Sorce, and A. C. Wall, “Beyond toy models: Distilling tensor networks in full AdS/CFT,” · 2019
Later among the works it cites.
doi:10.1103/PhysRevD.99.085005
J. S. Cotler, M. Reza Mohammadi Mozaffar, A. Mollabashi, and A. Naseh, “Entanglement renormalization for weakly interacting fields,” · 2019
Later among the works it cites.
J. Cotler, M. R. Mohammadi Mozaffar, A. Mollabashi, and A. Naseh, “Renormalization group circuits for weakly interacting continuum field theories,” · 2019
Later among the works it cites.
doi:10.21468/SciPostPhys.6.3.034
S. Chapman, J. Eisert, L. Hackl, M. P. Heller, R. Jefferson, H. Marrochio, and R. C. Myers, “Complexity and entanglement for thermofield double states,” · 2019
Later among the works it cites.
A. Lewkowycz, J. Liu, E. Silverstein, and G. Torroba, “ · 2020
Later among the works it cites.
doi:10.1103/PhysRevX.10.011009
L. Boyle, B. Dickens, and F. Flicker, “Conformal quasicrystals and holography,” · 2020
Later among the works it cites.
doi:10.1103/PhysRevA.102.062417
R. J. Harris, E. Coupe, N. A. McMahon, G. K. Brennen, and T. M. Stace, “Decoding holographic codes with an integer optimization decoder,” · 2020
Later among the works it cites.
T. J. Osborne and D. E. Stiegemann, “Dynamics for holographic codes,” · 2020
Later among the works it cites.
T. Kohler and T. Cubitt, “Toy models of holographic duality between local Hamiltonians,” · 2020
Later among the works it cites.
J. J. Fernandez-Melgarejo and J. Molina-Vilaplana, “Non-Gaussian entanglement renormalization for quantum fields,” · 2020
Later among the works it cites.
2021
Closest in time.
2021
Closest in time.
doi:10.48550/arXiv.2110.02972
A. Jahn, M. Gluza, C. Verhoeven, S. Singh, and J. Eisert, “Boundary theories of critical matchgate tensor networks,” · 2022
Closest in time.