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Group convolutions and cross-correlations, which are equivariant to the actions of group elements, are commonly used in mathematics to analyze or take advantage of symmetries inherent in a given problem setting.
E. F. Krause, Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Publications, 1975)
1975
Earlier work this paper cites.
A. T. Lonseth, SIAM Review 19
1977
Earlier work this paper cites.
P. Hoyer, arXiv preprint quant-ph/9702028 (1997)
1997
Earlier work this paper cites.
C. R. Dietrich and G. N. Newsam, SIAM Journal on Scientific Computing 18
1997
Earlier work this paper cites.
G. Brassard, P. Hoyer, M. Mosca, and A. Tapp, Contemporary Mathematics 305
2002
Earlier work this paper cites.
C. Laurita and G. Mastroianni, The Journal of Integral Equations and Applications 14
2002
Earlier work this paper cites.
C. Lomont, “Quantum convolution and quantum correlation algorithms are physically impossible,” (2003), arXiv:quant-ph/0309070 [quant-ph]
2003
Earlier work this paper cites.
C. E. Rasmussen, in Summer school on machine learning (Springer, 2003) pp. 63–71
2003
Earlier work this paper cites.
D. S. Dummit and R. M. Foote, Abstract algebra , Vol. 3 (Wiley Hoboken, 2004)
2004
Earlier work this paper cites.
J. H. William Fulton, Representation theory , Vol. 3 (Springer, 2004)
2004
Earlier work this paper cites.
J. Emerson, E. Livine, and S. Lloyd, Physical Review A 72
2005
Earlier work this paper cites.
C. Moore, D. Rockmore, and A. Russell, ACM Transactions on Algorithms (TALG) 2
2006
Earlier work this paper cites.
W. Van Dam, S. Hallgren, and L. Ip, SIAM Journal on Computing 36
2006
Earlier work this paper cites.
L. Gui-Lu and L. Yang, Communications in Theoretical Physics 50
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.
K. Atkinson and W. Han, in Theoretical Numerical Analysis (Springer, 2009) pp. 473–549
2009
Earlier work this paper cites.
A. W. Harrow, A. Hassidim, and S. Lloyd, Physical Review Letters 103
2009
Earlier work this paper cites.
A. M. Childs and W. Van Dam, Reviews of Modern Physics 82
2010
Earlier work this paper cites.
M. Rötteler, in Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete algorithms (SIAM, 2010) pp. 448–457
2010
Earlier work this paper cites.
A. G. Farashahi, arXiv preprint arXiv:1201.0297 (2011)
2011
Earlier work this paper cites.
A. Ambainis, in STACS’12 (29th Symposium on Theoretical Aspects of Computer Science) , Vol. 14 (LIPIcs, 2012) pp. 636–647
2012
Earlier work this paper cites.
W. Fulton and J. Harris, Representation theory: a first course , Vol. 129 (Springer Science & Business Media, 2013)
2013
Cited alongside, same era.
B. D. Clader, B. C. Jacobs, and C. R. Sprouse, Phys. Rev. Lett. 110
2013
Cited alongside, same era.
R. Kothari, Efficient algorithms in quantum query complexity , Ph.D. thesis, University of Waterloo (2014)
2014
Cited alongside, same era.
S. Lloyd, M. Mohseni, and P. Rebentrost, Nature Physics 10
2014
Cited alongside, same era.
D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, Physical review letters 114
2015
Cited alongside, same era.
A. Montanaro, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471
2015
T. S. Cohen, M. Geiger, J. Köhler, and M. Welling, in International Conference on Learning Representations (2018)
2018
Later among the works it cites.
2018
Later among the works it cites.
L.-C. Wan, C.-H. Yu, S.-J. Pan, F. Gao, Q.-Y. Wen, and S.-J. Qin, Physical Review A 97
2018
Later among the works it cites.
C. Shao and H. Xiang, Physical Review A 98
2018
Later among the works it cites.
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
D. N. Arnold, “Stability, consistency, and convergence of numerical discretizations,” in Encyclopedia of Applied and Computational Mathematics (Springer Berlin Heidelberg, 2015) pp. 1358–1364
2015
Cited alongside, same era.
I. Goodfellow, Y. Bengio, and A. Courville, Deep learning (MIT press, 2016)
2016
Cited alongside, same era.
T. Cohen and M. Welling, in International Conference on machine learning (PMLR, 2016) pp. 2990–2999
2016
Cited alongside, same era.
M. Roetteler, in 11th Conference on the Theory of Quantum Computation, Communication and Cryptography (2016)
2016
Cited alongside, same era.
A. Mahasinghe and J. Wang, Journal of Physics A: Mathematical and Theoretical 49
2016
Cited alongside, same era.
S. Dieleman, J. De Fauw, and K. Kavukcuoglu, in International Conference on machine learning (PMLR, 2016) pp. 1889–1898
2016
Cited alongside, same era.
H. Maron, E. Fetaya, N. Segol, and Y. Lipman, in International Conference on machine learning (PMLR, 2019) pp. 4363–4371
2019
Later among the works it cites.
N. Perraudin, M. Defferrard, T. Kacprzak, and R. Sgier, Astronomy and Computing 27
2019
Later among the works it cites.
G. H. Low and I. L. Chuang, Quantum 3
2019
Later among the works it cites.
N. Keriven and G. Peyré, Advances in Neural Information Processing Systems 32
2019
Later among the works it cites.
T. Cohen, M. Weiler, B. Kicanaoglu, and M. Welling, in International Conference on Machine Learning (PMLR, 2019) pp. 1321–1330
2019
Later among the works it cites.
I. Kerenidis, J. Landman, and A. Prakash, in International Conference on Learning Representations (2019)
2019
Later among the works it cites.
I. Cong, S. Choi, and M. D. Lukin, Nature Physics 15
2019
Later among the works it cites.
2019
Later among the works it cites.
K. Mitarai, M. Kitagawa, and K. Fujii, Physical Review A 99
2019
Later among the works it cites.
M. Finzi, S. Stanton, P. Izmailov, and A. G. Wilson, in International Conference on Machine Learning (PMLR, 2020) pp. 3165–3176
2020
Later among the works it cites.
A. Bogatskiy, B. Anderson, J. Offermann, M. Roussi, D. Miller, and R. Kondor, in International Conference on Machine Learning (PMLR, 2020) pp. 992–1002
2020
Later among the works it cites.
Y. Tong, D. An, N. Wiebe, and L. Lin, Physical Review A 104
2021
Closest in time.
A. Pesah, M. Cerezo, S. Wang, T. Volkoff, A. T. Sornborger, and P. J. Coles, Physical Review X 11
2021
Closest in time.
M. Cerezo, A. Arrasmith, R. Babbush, S. C. Benjamin, S. Endo, K. Fujii, J. R. McClean, K. Mitarai, X. Yuan, L. Cincio, et al. , Nature Reviews Physics 3
2021
Closest in time.
B. T. Kiani, G. De Palma, D. Englund, W. Kaminsky, M. Marvian, and S. Lloyd, Physical Review A 105
2022
Closest in time.