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Evolution by the Gross-Pitaevskii equation, which describes Bose-Einstein condensates under certain conditions, solves the unstructured search problem more efficiently than does the Schr\"odinger equation, because it includes a cubic nonlinearity, proportional to $|\psi|^2\psi$.
S. N. Bose, Z. Phys. 26
1924
Earlier work this paper cites.
A. Einstein, Sitzungsber. K. Preuss. Akad. Wiss. 261
1924
Earlier work this paper cites.
A. Einstein, Sitzungsber. Preuss. Akad. Wiss. 3
1925
Earlier work this paper cites.
E. Gross, Il Nuovo Cimento (1955-1965) 20
1961
Earlier work this paper cites.
L. Pitaevskii, Soviet Physics JETP-USSR 13
1961
Earlier work this paper cites.
M. Takatsuji, Phys. Rev. 155
1967
Earlier work this paper cites.
I. Bialynicki-Birula and J. Mycielski, Annals of Physics 100
1976
Earlier work this paper cites.
S. Weinberg, Phys. Rev. Lett. 62
1989
Earlier work this paper cites.
J. J. Bollinger, D. J. Heinzen, W. M. Itano, S. L. Gilbert, and D. J. Wineland, Phys. Rev. Lett. 63
1989
Earlier work this paper cites.
L. K. Grover, in Proceedings of the 28th annual ACM symposium on Theory of computing , STOC ’96 (ACM, New York, NY, USA, 1996) pp. 212–219
1996
Cited alongside, same era.
J. J. . Bollinger, W. M. Itano, D. J. Wineland, and D. J. Heinzen, Phys. Rev. A 54
1996
Cited alongside, same era.
E. Farhi and S. Gutmann, Phys. Rev. A 57
1998
Cited alongside, same era.
C. Zalka, Phys. Rev. A 60
1999
Cited alongside, same era.
A. Gammal, T. Frederico, L. Tomio, and P. Chomaz, Journal of Physics B: Atomic, Molecular and Optical Physics 33
2000
Cited alongside, same era.
F. Smektala, C. Quemard, V. Couderc, and A. Barthélémy, Journal of Non-Crystalline Solids 274
2000
Cited alongside, same era.
V. Giovannetti, S. Lloyd, and L. Maccone, Science 306
2004
Later among the works it cites.
A. M. Childs and J. Goldstone, Phys. Rev. A 70
2004
Later among the works it cites.
R. Carretero-González, J. Talley, C. Chong, and B. Malomed, Physica D: Nonlinear Phenomena 216
2006
Later among the works it cites.
P. Weinberger, Philosophical Magazine Letters 88
2008
Later among the works it cites.
R. Cleve, D. Gottesman, M. Mosca, R. D. Somma, and D. Yonge-Mallo, in Proceedings of the 41st annual ACM symposium on Theory of computing , STOC ’09 (ACM, New York, NY, USA, 2009) pp. 409–416
2009
Later among the works it cites.
U. Sinha, C. Couteau, T. Jennewein, R. Laflamme, and G. Weihs, Science 329
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C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, J. Opt. Soc. Am. B 19
2002
Cited alongside, same era.
G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Optics Communications 219
2003
Cited alongside, same era.
J. Kerr, Philosophical Magazine 3
Cited in the paper.
J. Kerr, Philosophical Magazine Series 5 5
Cited in the paper.
Since the intensity is proportional to the square of the electric field, the index of refraction is frequently written as n ( I ) = n 0 + n 2 I n(I)=n_{0}+n_{2}I
Cited in the paper.
Although the nonlinearity is loglinear, the equation is typically referred to as logarithmic. This is different from the cubic and cubic-quintic nonlinearites where the equations are also referred to as cubic and cubic-quintic, respectively
Cited in the paper.
2010
Later among the works it cites.
A. V. Avdeenkov and K. G. Zloshchastiev, Journal of Physics B: Atomic, Molecular and Optical Physics 44
2011
Later among the works it cites.
D. A. Meyer and T. G. Wong, New Journal of Physics 15
2013
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