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We present two quantum algorithms based on evolution randomization, a simple variant of adiabatic quantum computing, to prepare a quantum state $\vert x \rangle$ that is proportional to the solution of the system of linear equations $A \vec{x}=\vec{b}$.
R. Bhatia, Matrix Analysis (Graduate Texts in Mathematics) (Springer, New York, 1997)
1997
Earlier work this paper cites.
A. Messiah, Quantum Mechanics (Dover Publications, 1999)
1999
Earlier work this paper cites.
E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, arXiv:quant-ph/0001106 (2000)
2000
Earlier work this paper cites.
M. Szegedy, in Proceedings of the 45th Annual IEEE Symposium on FOCS. (IEEE, 2004) pp. 32–41
2004
Earlier work this paper cites.
D. Berry, G. Ahokas, R. Cleve, and B. Sanders, Comm. Math. Phys. 270
2007
Earlier work this paper cites.
S. Jansen, M. Ruskai, and R. Seiler, J. Math. Phys. 48
2007
Earlier work this paper cites.
A. Prakash, Quantum Algorithms for Linear Algebra and Machine Learning , Ph.D. thesis, University of California, Berkeley (2008)
2008
Earlier work this paper cites.
R. D. Somma, S. Boixo, H. Barnum, and E. Knill, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
A. W. Harrow, A. Hassidim, and S. Lloyd, Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
S. Boixo, E. Knill, and R. Somma, Q. Inf. Comp. 9
2009
Cited alongside, same era.
S. Boixo, E. Knill, and R. Somma, arXiv:1005.3034 (2010)
2010
Cited alongside, same era.
A. Ambainis, in Proceedings of the 29th International Symposium on Theoretical Aspects of Computer Science (2012) pp. 636–647
2012
Cited alongside, same era.
N. Wiebe, D. Braun, and S. Lloyd, Phys. Rev. Lett. 109
2012
Cited alongside, same era.
R. Somma, D. Nagaj, and M. Kieferova, Phys. Rev. Lett. 109
2012
Cited alongside, same era.
S. Lloyd, M. Mohseni, and P. Rebentrost, arXiv:1307.0411 (2013)
D. W. Berry, J. Phys. A: Math. Theor. 47
2014
Later among the works it cites.
H.-T. Chiang, G. Xu, and R. D. Somma, Phys. Rev. A 89
2014
Later among the works it cites.
D. W. Berry, A. M. Childs, and R. Kothari, in Proceedings of the 56th Symposium on Foundations of Computer Science (2015)
2015
Later among the works it cites.
A. Chowdhury and R. D. Somma, Quant. Inf. Comp. 17
2016
Later among the works it cites.
A. Childs, R. Kothari, and R. D. Somma, SIAM J. Comp. 46
2017
Later among the works it cites.
G. Wang, Quantum Information & Computation 17
2017
Later among the works it cites.
G. Low and I. Chuang, Phys. Rev. Lett. 118
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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. D. Somma and S. Boixo, SIAM J. Comp 42
2013
Cited alongside, same era.
S. Lloyd, M. Mohseni, and P. Rebentrost, Nature Physics 10(9)
2014
Cited alongside, same era.
D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, Phys. Rev. Lett. 114
Cited in the paper.
2017
Later among the works it cites.
S. Chakraborty, A. Gilyén, and S. Jeffery, arXiv:1804.01973 (2018)
2018
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