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We show that a quantum spin system has an exact description by non-interacting fermions if its frustration graph is claw-free and contains a simplicial clique.
P. Fendley, Journal of Physics A: Mathematical and Theoretical 52
1901
Earlier work this paper cites.
M. Hebenstreit, R. Jozsa, B. Kraus, S. Strelchuk, and M. Yoganathan, Physical Review Letters 123
1905
Earlier work this paper cites.
Z. Jiang, A. Kalev, W. Mruczkiewicz, and H. Neven, Quantum 4
1910
Earlier work this paper cites.
P. Jordan and E. Wigner, Z. Phys 47
1928
Earlier work this paper cites.
J. Krausz, Mat. Fiz. Lapok 50
1943
Earlier work this paper cites.
E. Lieb, T. Schultz, and D. Mattis, Annals of Physics 16
1961
Earlier work this paper cites.
H. N. Temperley and M. E. Fisher, Philosophical Magazine 6
1961
Earlier work this paper cites.
P. W. Kasteleyn, Journal of Mathematical Physics 4
1963
Earlier work this paper cites.
P. Kasteleyn, Graph Theory and Theoretical Physics , 43 (1967)
1967
Earlier work this paper cites.
L. W. Beineke, Journal of Combinatorial Theory 9
1970
Earlier work this paper cites.
E. Fradkin, Physical Review Letters 63
1989
Earlier work this paper cites.
Y. Wang, Physical Review B 43
1991
Earlier work this paper cites.
L. Huerta and J. Zanelli, Physical Review Letters 71
1993
Earlier work this paper cites.
C. Godsil, Algebraic Combinatorics , Vol. 6 (CRC Press, 1993)
1993
Earlier work this paper cites.
C. Batista and G. Ortiz, Physical Review Letters 86
2001
Earlier work this paper cites.
E. Knill, arXiv e-prints (2001), arXiv:quant-ph/0108033
2001
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Annals of Physics 298
2002
Earlier work this paper cites.
N. Tantivasadakarn, Physical Review Research 2
2002
Earlier work this paper cites.
B. M. Terhal and D. P. DiVincenzo, Physical Review A 65
2002
Earlier work this paper cites.
C. Derby, J. Klassen, J. Bausch, and T. Cubitt, Physical Review B 104
2003
Earlier work this paper cites.
A. Chapman and S. T. Flammia, Quantum 4
2003
Earlier work this paper cites.
Q. Wang, M. Li, C. Monroe, and Y. Nam, Quantum 5
2004
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Journal of Statistical Mechanics: Theory and Experiment 2005
2005
Cited alongside, same era.
R. Ball, Physical Review Letters 95
2005
Cited alongside, same era.
M. Chudnovsky and P. D. Seymour, in Surveys in Combinatorics 2005 (2005) pp. 153–171
2005
Cited alongside, same era.
F. C. Alcaraz and R. A. Pimenta, Physical Review B 102
2005
Cited alongside, same era.
S. Bravyi, Physical Review A 73
2006
Cited alongside, same era.
A. Kitaev, Annals of Physics 321
2006
Cited alongside, same era.
F. C. Alcaraz, M. T. Batchelor, and Z.-Z. Liu, Journal of Physics A: Mathematical and Theoretical 50
2017
Later among the works it cites.
Y.-A. Chen, A. Kapustin, and D. Radičević, Annals of Physics 393
2018
Later among the works it cites.
M. Steudtner and S. Wehner, New Journal of Physics 20
2018
Later among the works it cites.
F. C. Alcaraz and M. T. Batchelor, Physical Review E 97
2018
Later among the works it cites.
Y.-A. Chen and A. Kapustin, Physical Review B 100
2019
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M. Chudnovsky and P. Seymour, Journal of Combinatorial Theory, Series B 97
2007
Cited alongside, same era.
G. Matos, S. Johri, and Z. Papić, PRX Quantum 2
2007
Cited alongside, same era.
L. G. Valiant, SIAM Journal on Computing 37
2008
Cited alongside, same era.
E. Rabinovici, A. Sánchez-Garrido, R. Shir, and J. Sonner, Journal of High Energy Physics 2021
2009
Cited alongside, same era.
F. C. Alcaraz and R. A. Pimenta, Physical Review B 102
2010
Cited alongside, same era.
D. J. Brod and E. F. Galvao, Physical Review A 84
2011
Cited alongside, same era.
Later among the works it cites.
S. Backens, A. Shnirman, and Y. Makhlin, Scientific Reports 9
2019
Later among the works it cites.
K. Setia, S. Bravyi, A. Mezzacapo, and J. D. Whitfield, Physical Review Research 1
2019
Later among the works it cites.
Z. Jiang, J. McClean, R. Babbush, and H. Neven, Physical Review Applied 12
2019
Later among the works it cites.
J. D. Leake and N. R. Ryder, Algebraic Combinatorics 2
2019
Later among the works it cites.
D. E. Parker, X. Cao, A. Avdoshkin, T. Scaffidi, and E. Altman, Physical Review X 9
2019
Later among the works it cites.
S. McArdle, S. Endo, A. Aspuru-Guzik, S. C. Benjamin, and X. Yuan, Reviews of Modern Physics 92
2020
Later among the works it cites.
M. Chiew and S. Strelchuk, arXiv e-prints (2021), arXiv:2110.12792
2021
Later among the works it cites.
C. Derby and J. Klassen, arXiv e-prints (2021), arXiv:2101.10735
2021
Later among the works it cites.
T. J. Osborne and A. Stottmeister, arXiv e-prints (2021), arXiv:2109.14214
2021
Later among the works it cites.
F. C. Alcaraz and R. A. Pimenta, Physical Review E 104
2021
Later among the works it cites.
F. C. Alcaraz, J. A. Hoyos, and R. A. Pimenta, Physical Review B 104
2021
Later among the works it cites.
Y.-A. Chen and Y. Xu, arXiv e-prints (2022), arXiv:2201.05153
2022
Later among the works it cites.
2022
Later among the works it cites.
P. Caputa, J. M. Magan, and D. Patramanis, Physical Review Research 4
2022
Later among the works it cites.
A. Chapman, S. T. Flammia, and A. J. Kollár, PRX Quantum 3
2022
Later among the works it cites.