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These lecture notes focus on the application of ideas of locality, in particular Lieb-Robinson bounds, to quantum many-body systems.
A. E. Ingham, “A Note on Fourier Transforms”, J. London Math. Soc. 9
1934
Earlier work this paper cites.
E. H. Lieb, T. D. Schultz, and D. C. Mattis, Ann. Phys. (N. Y.) 16
1961
Earlier work this paper cites.
C. K. Majumdar and D. Ghosh, J. Math. Phys. 10, 1388 (1969)
1969
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, Commun. Math. Phys. 28
1972
Earlier work this paper cites.
N. W. Ashcroft and N. D. Mermin, Solid State Physics
1976
Earlier work this paper cites.
W. F. Wreszinski, Fortschr. Phys. 35
1981
Earlier work this paper cites.
F. D. M. Haldane, Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
I.Affleck and E.H.Lieb, Lett.Math.Phys. 12, 57 (1986)
1986
Earlier work this paper cites.
B. Sutherland, Phys. Rev. B 37
1989
Earlier work this paper cites.
X. G. Wen and Q. Niu, “Ground-state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus Riemann surfaces”
1990
Cited alongside, same era.
J. Dziubanski and E. Hernández, “Band-limited wavelets with subexponential decay”, 41
1998
Cited alongside, same era.
M. H. Freedman, A. Kitaev, M. J. Larsen, and Z. Wang, “Topological Quantum Computation”
2001
Cited alongside, same era.
A. Kitaev, “Fault-tolerant quantum computation by anyons”
2003
Cited alongside, same era.
N. Alon, Combinatorica, 6(2)
2003
Cited alongside, same era.
M. B. Hastings, Phys. Rev. B 69
2004
Cited alongside, same era.
M. B. Hastings and T. Koma, Commun. Math. Phys. 265
2006
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B. Nachtergaele and R. Sims, Commun. Math. Phys. 265
2006
Later among the works it 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
Later among the works it cites.
M. Levin and X.-G. Wen, arXiv:cond-mat/0510613, Phys. Rev. Lett. 96
2006
Later among the works it cites.
A. Kitaev and J. Preskill, hep-th/0510092, Phys. Rev. Lett. 96
2006
Later among the works it cites.
M. B. Hastings, “Quasi-Adiabatic Continuation in Gapped Spin and Fermion Systems: Goldstone’s Theorem and Flux Periodicity”, preprint cond-mat/0612538, JSTAT, P05010 (2007)
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M. B. Hastings, “Locality in Quantum and Markov Dynamics on Lattices and Networks”, Phys. Rev. Lett. 93
2004
Cited alongside, same era.
M. B. Hastings, Europhys. Lett. 70
2005
Cited alongside, same era.
M. A. Levin and X.-G. Wen, “String-net condensation: A physical mechanism for topological phases”
2005
Cited alongside, same era.
M. B. Hastings, arXiv:1001.5280
Cited in the paper.
Cited in the paper.
T. J. Osborne, “Simulating adiabatic evolution of gapped spin systems”, Phys. Rev. A, 75
Cited in the paper.
2007
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2009
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S. Bravyi, M. B. Hastings, and S. Michalakis, “Topological quantum order: stability under local perturbations”
2010
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S. Bravyi and M. B. Hastings, “A Short Proof of Stability of Topological Order Under Local Perturbations”
2010
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