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The spectral gap problem - determining whether the energy spectrum of a system has an energy gap above ground state, or if there is a continuous range of low-energy excitations - pervades quantum many-body physics.
M. Lemm, Physical Review B 100
1903
Earlier work this paper cites.
K. Gödel, Monatshefte für Mathematik und Physik 38-38
1931
Earlier work this paper cites.
A. M. Turing, Proceedings of the London Mathematical Society s2-42
1937
Earlier work this paper cites.
E. Lieb, T. Schultz, and D. Mattis, Annals of Physics 16
1961
Earlier work this paper cites.
H. Wang, Bell System Tech. J. 40
1961
Earlier work this paper cites.
A. Komar, Phys. Rev. 133
1964
Earlier work this paper cites.
R. Berger, The Undecidability of the Domino Problem (American Mathematical Soc., 1966) p. 72
1966
Earlier work this paper cites.
S. A. Cook, in Proceedings of the third annual ACM symposium on Theory of computing - STOC ’71 (ACM Press, New York, New York, USA, 1971) pp. 151–158
1971
Earlier work this paper cites.
R. M. Robinson, Inventiones mathematicae 12
1971
Earlier work this paper cites.
P. W. Anderson, Science 177
1972
Earlier work this paper cites.
Y. Imry, D. J. Scalapino, and L. Gunther, Physical Review B 10
1974
Earlier work this paper cites.
M. B. Pour-El and I. Richards, Adv. Math. 39
1981
Earlier work this paper cites.
E. Fredkin and T. Toffoli, Internat. J. Theoret. Phys. 21
1982
Earlier work this paper cites.
E. Domany and W. Kinzel, Phys. Rev. Lett. 53
1984
Earlier work this paper cites.
S. Omohundro, Physica D: Nonlinear Phenomena 10
1984
Earlier work this paper cites.
R. P. Feynman, Optics News 11
1985
Earlier work this paper cites.
I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Physical Review Letters 59
1987
Earlier work this paper cites.
I. Kanter, Phys. Rev. Lett. 64
1990
Earlier work this paper cites.
C. Moore, Phys. Rev. Lett. 64
1990
Earlier work this paper cites.
C. H. Bennett, Nature 346
1990
Earlier work this paper cites.
S. R. White, Physical Review Letters 69
1992
Earlier work this paper cites.
S. Lloyd, Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
S. Lloyd, J. Modern Opt. 41
1994
Earlier work this paper cites.
A. Y. Kitaev, A. Shen, and M. N. Vyalyi, in Quantum Information (Springer New York, New York, NY, 2002) pp. 203–217
2002
Cited alongside, same era.
F. Verstraete, J. I. Cirac, J. I. Latorre, E. Rico, and M. M. Wolf, Physical Review Letters 94
2005
Cited alongside, same era.
R. I. Oliveira and B. M. Terhal, Quantum Information & Computation 8
2005
Cited alongside, same era.
M. B. Hastings and T. Koma, Communications in Mathematical Physics 265
2006
Cited alongside, same era.
J. Kempe, A. Y. Kitaev, and O. Regev, SIAM Journal on Computing 35
2006
Cited alongside, same era.
D. Yarotsky, Commun. Math. Phys. 261
2006
Cited alongside, same era.
M. Kliesch, D. Gross, and J. Eisert, Phys. Rev. Lett. 113
2014
Later among the works it cites.
N. P. Breuckmann and B. M. Terhal, Journal of Physics A: Mathematical and Theoretical 47
2014
Later among the works it cites.
C. Fernández-González, N. Schuch, M. M. Wolf, J. I. Cirac, and D. Pérez-García, Communications in Mathematical Physics 333
2014
Later among the works it cites.
Z. Landau, U. Vazirani, and T. Vidick, Nature Physics 11
2015
Later among the works it cites.
S. Bravyi and D. Gosset, Journal of Mathematical Physics 56
2015
Later among the works it cites.
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M. M. Wolf, G. Ortiz, F. Verstraete, and J. I. Cirac, Physical Review Letters 97
2006
Cited alongside, same era.
M. Van den Nest and H. J. Briegel, Found. Phys. 38
2008
Cited alongside, same era.
D. Aharonov, D. Gottesman, S. Irani, and J. Kempe, Communications in Mathematical Physics 287
2009
Cited alongside, same era.
D. Gottesman and S. Irani, Theory of Computing 9
2009
Cited alongside, same era.
M. Gu, C. Weedbrook, A. Perales, and M. A. Nielsen, Physica D 238
2009
Cited alongside, same era.
R. Movassagh, E. Farhi, J. Goldstone, D. Nagaj, T. J. Osborne, and P. W. Shor, Physical Review A 82
2010
Cited alongside, same era.
Y. Ge and J. Eisert, New Journal of Physics 18
2016
Later among the works it cites.
G. De las Cuevas, T. S. Cubitt, J. I. Cirac, M. M. Wolf, and D. Pérez-García, J. Math. Phys. 57
2016
Later among the works it cites.
D. Elkouss and D. Pérez-García, arXiv:1601.06101 (2016), 10.1038/s41467-018-03428-0
2016
Later among the works it cites.
2016
Later among the works it cites.
W. Slofstra, arXiv:1606.03140 (2016)
2016
Later among the works it cites.
S. Lloyd, arXiv:1602.05924 (2016)
2016
Later among the works it cites.
T. S. Cubitt, D. Perez-Garcia, and M. M. Wolf, arXiv:1603.00825 (2016)
2016
Later among the works it cites.
R. Movassagh and P. W. Shor, Proceedings of the National Academy of Sciences 113
2016
Later among the works it cites.
F. Franchini, An Introduction to Integrable Techniques for One-Dimensional Quantum Systems , Lecture Notes in Physics, Vol. 940 (Springer International Publishing, Cham, 2017)
2017
Later among the works it cites.
J. Bausch, T. Cubitt, and M. Ozols, Annales Henri Poincaré , 52 (2017) , arXiv:1605.01718
2017
Later among the works it cites.
A. Mazurenko, C. S. Chiu, G. Ji, M. F. Parsons, M. Kanász-Nagy, R. Schmidt, F. Grusdt, E. Demler, D. Greif, and M. Greiner, Nature 545
2017
Later among the works it cites.
J. Bausch and S. Piddock, Journal of Mathematical Physics 58
2017
Later among the works it cites.
R. Movassagh, Physical Review Letters 119
2017
Later among the works it cites.
2018
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J. Bausch and E. Crosson, Quantum 2
2018
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2018
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