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Long-range entanglement--the backbone of topologically ordered states--cannot be created in finite time using local unitary circuits, or equivalently, adiabatic state preparation.
P. Jordan and E. Wigner, Uber das paulische equivalenzverbot, Zeitschrift fur Physik 47
1928
Earlier work this paper cites.
T. D. Schultz, D. C. Mattis, and E. H. Lieb, Two-dimensional ising model as a soluble problem of many fermions, Rev. Mod. Phys. 36
1964
Earlier work this paper cites.
F. J. Wegner, Duality in generalized ising models and phase transitions without local order parameters, J. Math. Phys. 12
1971
Earlier work this paper cites.
J. B. Kogut, An introduction to lattice gauge theory and spin systems, Rev. Mod. Phys. 51
1979
Earlier work this paper cites.
R. B. Laughlin, Anomalous quantum hall effect: An incompressible quantum fluid with fractionally charged excitations, Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
R. Dijkgraaf, V. Pasquier, and P. Roche, Quasi hopf algebras, group cohomology and orbifold models, Nuclear Physics B-Proceedings Supplements 18
1991
Earlier work this paper cites.
C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. Walter Ogburn and J. Preskill, Topological quantum computation, in Quantum Computing and Quantum Communications: First NASA International Conference, QCQC’98 Palm Springs, California, USA February 17–20, 1998 Selected Papers (Springer, 1999) pp. 341–356
1999
Earlier work this paper cites.
R. Raussendorf and H. J. Briegel, A one-way quantum computer, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
R. Raussendorf, D. E. Browne, and H. J. Briegel, Measurement-based quantum computation on cluster states, Phys. Rev. A 68
2003
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
C. Mochon, Anyon computers with smaller groups, Phys. Rev. A 69
2004
Earlier work this paper cites.
R. Raussendorf, S. Bravyi, and J. Harrington, Long-range quantum entanglement in noisy cluster states, Phys. Rev. A 71
2005
Earlier work this paper cites.
P. Høyer and R. Špalek, Quantum fan-out is powerful, Theory of computing 1
2005
Earlier work this paper cites.
M. A. Levin and X.-G. Wen, String-net condensation: A physical mechanism for topological phases, Phys. Rev. B 71
2005
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.
R. Jozsa, An introduction to measurement based quantum computation, in Quantum information processing: from theory to experiment , NATO Science Series, III: Computer and Systems Sciences, Vol. 199, edited by D. G. Angelakis, M. Christandl, and A. Ekert (IOS Press, 2006) pp. 137–158
2006
Earlier work this paper cites.
A. Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics 321
2006
Earlier work this paper cites.
M. Aguado, G. K. Brennen, F. Verstraete, and J. I. Cirac, Creation, manipulation, and detection of abelian and non-abelian anyons in optical lattices, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
S. Gelaki and D. Nikshych, Nilpotent fusion categories, Advances in Mathematics 217
2008
Earlier work this paper cites.
Z.-C. Gu and X.-G. Wen, Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order, Phys. Rev. B 80
2009
Earlier work this paper cites.
Z.-C. Gu, M. Levin, B. Swingle, and X.-G. Wen, Tensor-product representations for string-net condensed states, Phys. Rev. B 79
2009
Earlier work this paper cites.
O. Buerschaper, M. Aguado, and G. Vidal, Explicit tensor network representation for the ground states of string-net models, Phys. Rev. B 79
2009
Earlier work this paper cites.
D. Browne, E. Kashefi, and S. Perdrix, Computational depth complexity of measurement-based quantum computation, in Conference on Quantum Computation, Communication, and Cryptography (Springer, 2010) pp. 35–46
2010
Earlier work this paper cites.
F. Pollmann, A. M. Turner, E. Berg, and M. Oshikawa, Entanglement spectrum of a topological phase in one dimension, Phys. Rev. B 81
2010
Earlier work this paper cites.
H. Bombin, Topological order with a twist: Ising anyons from an abelian model, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
E. Cobanera, G. Ortiz, and Z. Nussinov, The bond-algebraic approach to dualities, Advances in physics 60
2011
Earlier work this paper cites.
L. Fidkowski and A. Kitaev, Topological phases of fermions in one dimension, Physical Review B 83
2011
Earlier work this paper 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
Earlier work this paper cites.
N. Schuch, D. Pérez-García, and I. Cirac, Classifying quantum phases using matrix product states and projected entangled pair states, Phys. Rev. B 84
2011
Earlier work this paper cites.
A. Kapustin and N. Saulina, Topological boundary conditions in abelian chern–simons theory, Nuclear Physics B 845
2011
Earlier work this paper cites.
P. Etingof, D. Nikshych, and V. Ostrik, Weakly group-theoretical and solvable fusion categories, Advances in Mathematics 226
2011
Earlier work this paper cites.
S. Beigi, P. W. Shor, and D. Whalen, The quantum double model with boundary: condensations and symmetries, Communications in mathematical physics 306
2011
Earlier work this paper cites.
M. B. Hastings, Locality in quantum systems, in Quantum Theory from Small to Large Scales , Les Houches 2010, Session 95 (Oxford University Press, 2012) pp. 171–212
2012
Earlier work this paper cites.
X.-S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, B. Wittmann, A. Mech, J. Kofler, E. Anisimova, et al. , Quantum teleportation over 143 kilometres using active feed-forward, Nature 489
2012
Earlier work this paper cites.
F. Pollmann, E. Berg, A. M. Turner, and M. Oshikawa, Symmetry protection of topological phases in one-dimensional quantum spin systems, Phys. Rev. B 85
2012
Earlier work this paper cites.
Y.-M. Lu and A. Vishwanath, Theory and classification of interacting integer topological phases in two dimensions: A chern-simons approach, Phys. Rev. B 86
2012
Earlier work this paper cites.
M. Levin and Z.-C. Gu, Braiding statistics approach to symmetry-protected topological phases, Phys. Rev. B 86
2012
Earlier work this paper cites.
A. Kitaev and L. Kong, Models for gapped boundaries and domain walls, Communications in Mathematical Physics 313
2012
Cited alongside, same era.
X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen, Symmetry protected topological orders and the group cohomology of their symmetry group, Phys. Rev. B 87
2013
Cited alongside, same era.
T. Senthil and M. Levin, Integer quantum hall effect for bosons, Phys. Rev. Lett. 110
2013
Cited alongside, same era.
A. Vishwanath and T. Senthil, Physics of three-dimensional bosonic topological insulators: Surface-deconfined criticality and quantized magnetoelectric effect, Phys. Rev. X 3
2013
Cited alongside, same era.
M. Levin, Protected edge modes without symmetry, Phys. Rev. X 3
2013
Cited alongside, same era.
2020
Later among the works it cites.
Y. Tachikawa, On gauging finite subgroups, SciPost Phys. 8
2020
Later among the works it cites.
A. Kapustin and L. Spodyneiko, Thermal hall conductance and a relative topological invariant of gapped two-dimensional systems, Phys. Rev. B 101
2020
Later among the works it cites.
S. Barbarino, J. Yu, P. Zoller, and J. C. Budich, Preparing atomic topological quantum matter by adiabatic nonunitary dynamics, Phys. Rev. Lett. 124
2020
Later among the works it cites.
Y. Hu and Y. Wan, Electric-magnetic duality in twisted quantum double model of topological orders, Journal of High Energy Physics 2020
2020
Later among the works it cites.
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2013
Cited alongside, same era.
Y.-Z. You, C.-M. Jian, and X.-G. Wen, Synthetic non-abelian statistics by abelian anyon condensation, Phys. Rev. B 87
2013
Cited alongside, same era.
D. V. Else and C. Nayak, Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge, Phys. Rev. B 90
2014
Cited alongside, same era.
X. Chen, Y.-M. Lu, and A. Vishwanath, Symmetry-protected topological phases from decorated domain walls, Nature communications 5
2014
Cited alongside, same era.
M. Hermele, String flux mechanism for fractionalization in topologically ordered phases, Phys. Rev. B 90
2014
Cited alongside, same era.
B. Zeng and X.-G. Wen, Gapped quantum liquids and topological order, stochastic local transformations and emergence of unitarity, Phys. Rev. B 91
2015
Cited alongside, same era.
Y. Huang and X. Chen, Quantum circuit complexity of one-dimensional topological phases, Phys. Rev. B 91
2015
Cited alongside, same era.
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2021
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2021
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