Fetching the paper…
Reading the bibliography…
Much is understood about 1-dimensional spin chains in terms of entanglement properties, physical phases, and integrability.
É. Cartan, Ann. Sci. Éc. Norm. Supér. (3) 31
1914
Earlier work this paper cites.
É. Cartan, Bulletin de la Société mathématique de France 54
1926
Earlier work this paper cites.
E. B. Dynkin, Uspekhi Matematicheskikh Nauk 7
1952
Earlier work this paper cites.
E. P. Wigner, Group Theory - And its Application to the Quantum Mechanics of Atomic Spectra (Elsevier, 1959)
1959
Earlier work this paper cites.
J. Tits, in Séminaire Bourbaki, 2 (Secrétariat mathématique, 1959) pp. 1–18
1959
Earlier work this paper cites.
F. J. Dyson, Journal of Mathematical Physics 3
1962
Earlier work this paper cites.
D. Sherrington and S. Kirkpatrick, Physical review letters 35
1975
Earlier work this paper cites.
T. Ionescu, Linear Algebra and Its Applications 15
1976
Earlier work this paper cites.
S. Helgason, Differential geometry, Lie groups, and symmetric spaces (Academic press, 1979)
1979
Earlier work this paper cites.
R. J. Baxter, Exactly solved models in statistical mechanics (Elsevier, 1982)
1982
Earlier work this paper cites.
S. Lloyd, Phys. Rev. Lett. 75
1995
Earlier work this paper cites.
D. E. Deutsch, A. Barenco, and A. Ekert, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 449
1995
Earlier work this paper cites.
S. Lloyd, Science 273
1996
Earlier work this paper cites.
A. Altland and M. R. Zirnbauer, Phys. Rev. B 55
1997
Earlier work this paper cites.
F. Albertini and D. D’Alessandro, in Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) , Vol. 2 (2001) pp. 1589–1594 vol.2
2001
Earlier work this paper cites.
S. G. Schirmer, H. Fu, and A. I. Solomon, Physical Review A 63
2001
Earlier work this paper cites.
S. Schirmer, I. Pullen, and A. Solomon, Journal of Physics A: Mathematical and General 35
2002
Earlier work this paper cites.
R. Somma, G. Ortiz, H. Barnum, E. Knill, and L. Viola, Physical Review A 70
2004
Earlier work this paper cites.
R. D. Somma, arXiv preprint quant-ph/0512209 (2005)
2005
Earlier work this paper cites.
N. Schuch, J. I. Cirac, and M. M. Wolf, Communications in Mathematical Physics 267
2006
Earlier work this paper cites.
M. B. Hastings, Journal of Statistical Mechanics: Theory and Experiment 2007
2007
Earlier work this paper cites.
C. Procesi, Lie groups: an approach through invariants and representations , Vol. 115 (Springer, 2007)
2007
Earlier work this paper cites.
C. V. Kraus, M. M. Wolf, and J. I. Cirac, Physical Review A 75
2007
Earlier work this paper cites.
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Phys. Rev. B 78
2008
Earlier work this paper cites.
C. Dankert, R. Cleve, J. Emerson, and E. Livine, Physical Review A 80
2009
Earlier work this paper cites.
S. Ryu, A. P. Schnyder, A. Furusaki, and A. W. Ludwig, New Journal of Physics 12
2010
Earlier work this paper cites.
T. Schulte-Herbrüggen, S. j. Glaser, G. Dirr, and U. Helmke, Reviews in Mathematical Physics 22
2010
Earlier work this paper cites.
J. B. Parkinson and D. J. Farnell, An introduction to quantum spin systems , Vol. 816 (Springer, 2010)
2010
Earlier work this paper cites.
X. Chen, Z.-C. Gu, and X.-G. Wen, Physical review b 83
2011
Earlier work this paper cites.
R. Zeier and T. Schulte-Herbrüggen, Journal of mathematical physics 52
2011
Earlier work this paper cites.
J.-S. Caux and J. Mossel, Journal of Statistical Mechanics: Theory and Experiment 2011
2011
Earlier work this paper cites.
X. Wang, P. Pemberton-Ross, and S. G. Schirmer, IEEE transactions on automatic control 57
2012
Earlier work this paper cites.
M. Barkeshli, C.-M. Jian, and X.-L. Qi, Phys. Rev. B 88
2013
Earlier work this paper cites.
A. W. Knapp, Lie Groups Beyond an Introduction , Vol. 140 (Springer Science & Business Media, 2013)
2013
Earlier work this paper cites.
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’brien, Nature communications 5
2014
Earlier work this paper cites.
2014
Earlier work this paper cites.
P. d. M. Rios and E. Straume, Symbol Correspondences for Spin Systems (Springer, 2014)
2014
Cited alongside, same era.
Z. Zimborás, R. Zeier, M. Keyl, and T. Schulte-Herbrüggen, EPJ Quantum Technology 1
2014
Cited alongside, same era.
B. C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction , Vol. 222 (Springer, 2015)
2015
Cited alongside, same era.
D. Wecker, M. B. Hastings, and M. Troyer, Physical Review A 92
2015
Cited alongside, same era.
2015
Cited alongside, same era.
X. Wang, D. Burgarth, and S. Schirmer, Physical Review A 94
S. Wang, E. Fontana, M. Cerezo, K. Sharma, A. Sone, L. Cincio, and P. J. Coles, Nature communications 12
2021
Later among the works it cites.
T. L. Patti, K. Najafi, X. Gao, and S. F. Yelin, Phys. Rev. Res. 3
2021
Later among the works it cites.
T. Volkoff and P. J. Coles, Quantum Science and Technology 6
2021
Later among the works it cites.
A. Skolik, J. R. McClean, M. Mohseni, P. van der Smagt, and M. Leib, Quantum Machine Intelligence 3
2021
Later among the works it cites.
A. Pesah, M. Cerezo, S. Wang, T. Volkoff, A. T. Sornborger, and P. J. Coles, Phys. Rev. X 11
2021
Later among the works it cites.
J. Kim, J. Kim, and D. Rosa, Phys. Rev. Res. 3
2021
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2016
Cited alongside, same era.
J. Chen, H. Zhou, C. Duan, and X. Peng, Physical Review A 95
2017
Cited alongside, same era.
A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta, nature 549
2017
Cited alongside, same era.
F. Franchini et al. , An introduction to integrable techniques for one-dimensional quantum systems , Vol. 940 (Springer, 2017)
2017
Cited alongside, same era.
Y. Atia and D. Aharonov, Nature communications 8
2017
Cited alongside, same era.
J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, and H. Neven, Nature communications 9
2018
Cited alongside, same era.
Y. Li, X. Chen, and M. P. A. Fisher, Phys. Rev. B 98
2018
Cited alongside, same era.
B. Şahinoğlu and R. D. Somma, npj Quantum Information 7
2021
Later among the works it cites.
S. Gu, R. D. Somma, and B. Şahinoğlu, Quantum 5
2021
Later among the works it cites.
A. Edelman and S. Jeong, Journal of Mathematical Physics 63
2022
Later among the works it cites.
N. G. Jones and N. Linden, Journal of Mathematical Physics 63
2022
Later among the works it cites.
X. You, S. Chakrabarti, and X. Wu, arXiv preprint arXiv:2205.12481 10.48550/arXiv.2205.12481 (2022)
2022
Later among the works it cites.
M. Larocca, P. Czarnik, K. Sharma, G. Muraleedharan, P. J. Coles, and M. Cerezo, Quantum 6
2022
Later among the works it cites.
E. Kökcü, T. Steckmann, Y. Wang, J. K. Freericks, E. F. Dumitrescu, and A. F. Kemper, Phys. Rev. Lett. 129
2022
Later among the works it cites.
E. Kökcü, D. Camps, L. Bassman, J. K. Freericks, W. A. de Jong, R. Van Beeumen, and A. F. Kemper, Physical Review A 105
2022
Later among the works it cites.
D. Camps, E. Kökcü, L. Bassman, W. A. de Jong, A. F. Kemper, and R. V. Beeumen, SIAM Journal on Matrix Analysis and Applications 43
2022
Later among the works it cites.
N. Yunger Halpern and S. Majidy, npj Quantum Information 8
2022
Later among the works it cites.
J. Tilly, H. Chen, S. Cao, D. Picozzi, K. Setia, Y. Li, E. Grant, L. Wossnig, I. Rungger, G. H. Booth, et al. , Physics Reports 986
2022
Later among the works it cites.
A. Anand, P. Schleich, S. Alperin-Lea, P. W. Jensen, S. Sim, M. Díaz-Tinoco, J. S. Kottmann, M. Degroote, A. F. Izmaylov, and A. Aspuru-Guzik, Chemical Society Reviews 51
2022
Later among the works it cites.
2022
Later among the works it cites.
2022
Later among the works it cites.
Z. Holmes, K. Sharma, M. Cerezo, and P. J. Coles, PRX Quantum 3
2022
Later among the works it cites.
A. A. Mele, G. B. Mbeng, G. E. Santoro, M. Collura, and P. Torta, Phys. Rev. A 106
2022
Later among the works it cites.
Y. Yao, F. Miatto, and N. Quesada, arXiv preprint arXiv:2209.06069 10.48550/arXiv.2209.06069 (2022)
2022
Later among the works it cites.
L. Bassman Oftelie, R. Van Beeumen, E. Younis, E. Smith, C. Iancu, and W. A. de Jong, Materials Theory 6
2022
Later among the works it cites.
M. Larocca, N. Ju, D. García-Martín, P. J. Coles, and M. Cerezo, Nature Computational Science 3
2023
Closest in time.
2023
Closest in time.
2023
Closest in time.
R. Wiersema, Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension (2023), https://github.com/therooler/lie_classification
2023
Closest in time.
G. Matos, C. N. Self, Z. Papić, K. Meichanetzidis, and H. Dreyer, Quantum 7
2023
Closest in time.
J. M. Koh, S.-N. Sun, M. Motta, and A. J. Minnich, Nature Physics , 1 (2023)
2023
Closest in time.
R. Wiersema and N. Killoran, Phys. Rev. A 107
2023
Closest in time.
R. Wiersema, C. Zhou, J. F. Carrasquilla, and Y. B. Kim, SciPost Phys. 14
2023
Closest in time.
2023
Closest in time.
2023
Closest in time.
C. Murthy, A. Babakhani, F. Iniguez, M. Srednicki, and N. Yunger Halpern, Phys. Rev. Lett. 130
2023
Closest in time.