Built on

Y. Suzuki, S. Uno, R. Raymond, T. Tanaka, T. Onodera, and N. Yamamoto (2019), eprint 1904.10246, URL https://arxiv.org/abs/1904.10246
Original
1904
Earlier work this paper cites.
C. Zoufal, A. Lucchi, and S. Woerner (2019), eprint 1904.00043, URL https://arxiv.org/abs/1904.00043
Original
1904
Earlier work this paper cites.
R. Iten, O. Reardon-Smith, L. Mondada, E. Redmond, R. S. Kohli, and R. Colbeck (2019), eprint 1904.01072, URL https://arxiv.org/abs/1904.01072
Original
1904
Earlier work this paper cites.
N. Stamatopoulos, D. J. Egger, Y. Sun, C. Zoufal, R. Iten, N. Shen, and S. Woerner, arXiv:1905.02666 (2019), URL https://arxiv.org/abs/1905.02666
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1905
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D. J. Egger, R. G. Gutiérrez, J. C. Mestre, and S. Woerner (2019), eprint 1907.03044, URL http://arxiv.org/abs/1907.03044
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1907
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S. Aaronson and P. Rall (2019), eprint 1908.10846, URL http://arxiv.org/abs/1908.10846
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1908
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D. Grinko, J. Gacon, C. Zoufal, and S. Woerner (2019), eprint 1912.05559, URL http://arxiv.org/abs/1912.05559
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1912
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T. Das, A. Saha, and D. Roy, Proceedings of the Royal Society of London 227
1955
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P. J. Davis and P. Rabinowitz, Methods of Numerical Integration (Academic Press, 1984), 2nd ed., ISBN 978-0-12-206360-2
1984
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2005
Cited alongside, same era.

Then

A. Montanaro, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471
2015
Later among the works it cites.
D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, Physical Review Letters 114
2015
Later among the works it cites.
K. Temme, S. Bravyi, and J. M. Gambetta, Phys. Rev. Lett. 119
2017
Later among the works it cites.
P. Rebentrost, B. Gupt, and T. R. Bromley, Phys. Rev. A 98
2018
Later among the works it cites.
T. Häner, M. Roetteler, and K. M. Svore (2018), eprint arXiv:1805.12445
Original
2018
Later among the works it cites.
A. Kandala, K. Temme, A. D. Corcoles, A. Mezzacapo, J. M. Chow, and J. M. Gambetta, Nature 567

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2020

Efficient State Preparation for Quantum Amplitude Estimation

Vazquez, Almudena Carrera, Woerner, Stefan

Understand

Quantum Amplitude Estimation (QAE) can achieve a quadratic speed-up for applications classically solved by Monte Carlo simulation.

A key requirement to realize this advantage is efficient state preparation.
If state preparation is too expensive, it can diminish the quantum advantage.
Preparing arbitrary quantum states has exponential complexity with respect to the number of qubits, thus, is not applicable.

Built on

Y. Suzuki, S. Uno, R. Raymond, T. Tanaka, T. Onodera, and N. Yamamoto (2019), eprint 1904.10246, URL https://arxiv.org/abs/1904.10246
Original
1904
Earlier work this paper cites.
C. Zoufal, A. Lucchi, and S. Woerner (2019), eprint 1904.00043, URL https://arxiv.org/abs/1904.00043
Original
1904
Earlier work this paper cites.
R. Iten, O. Reardon-Smith, L. Mondada, E. Redmond, R. S. Kohli, and R. Colbeck (2019), eprint 1904.01072, URL https://arxiv.org/abs/1904.01072
Original
1904
Earlier work this paper cites.
N. Stamatopoulos, D. J. Egger, Y. Sun, C. Zoufal, R. Iten, N. Shen, and S. Woerner, arXiv:1905.02666 (2019), URL https://arxiv.org/abs/1905.02666
Original
1905
Earlier work this paper cites.
D. J. Egger, R. G. Gutiérrez, J. C. Mestre, and S. Woerner (2019), eprint 1907.03044, URL http://arxiv.org/abs/1907.03044
Original
1907
Earlier work this paper cites.
S. Aaronson and P. Rall (2019), eprint 1908.10846, URL http://arxiv.org/abs/1908.10846
Original
1908
Earlier work this paper cites.
D. Grinko, J. Gacon, C. Zoufal, and S. Woerner (2019), eprint 1912.05559, URL http://arxiv.org/abs/1912.05559
Original
1912
Earlier work this paper cites.
T. Das, A. Saha, and D. Roy, Proceedings of the Royal Society of London 227
1955
Earlier work this paper cites.
P. J. Davis and P. Rabinowitz, Methods of Numerical Integration (Academic Press, 1984), 2nd ed., ISBN 978-0-12-206360-2
1984
Earlier work this paper cites.

Similar

S. L. Heston, The Review of Financial Studies 6
1993
Cited alongside, same era.
D. S. Abrams and C. P. Williams (1999), eprint arXiv:9908083
1999
Cited alongside, same era.
G. Brassard, P. Hoyer, M. Mosca, and A. Tapp, Contemporary Mathematics 305
2002
Cited alongside, same era.
L. Grover and T. Rudolph (2002), eprint arXiv:0208112
2002
Cited alongside, same era.
P. Glasserman, Monte Carlo Methods in Financial Engineering (Springer-Verlag New York, 2003), ISBN 978-0-387-00451-8
2003
Cited alongside, same era.
A. Holmes and A. Y. Matsuura, Efficient quantum circuits for accurate state preparation of smooth, differentiable functions (2020), eprint 2005.04351
2005
Cited alongside, same era.

Then

A. Montanaro, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471
2015
Later among the works it cites.
D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, Physical Review Letters 114
2015
Later among the works it cites.
K. Temme, S. Bravyi, and J. M. Gambetta, Phys. Rev. Lett. 119
2017
Later among the works it cites.
P. Rebentrost, B. Gupt, and T. R. Bromley, Phys. Rev. A 98
2018
Later among the works it cites.
T. Häner, M. Roetteler, and K. M. Svore (2018), eprint arXiv:1805.12445
Original
2018
Later among the works it cites.
A. Kandala, K. Temme, A. D. Corcoles, A. Mezzacapo, J. M. Chow, and J. M. Gambetta, Nature 567

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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V. V. Shende, S. S. Bullock, and I. L. Markov, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 25

2006

Cited alongside, same era.

M. Plesch and C. Brukner, Phys. Rev. A 83

2010

Cited alongside, same era.

A. Dewes, F. R. Ong, V. Schmitt, R. Lauro, N. Boulant, P. Bertet, D. Vion, and D. Esteve, Phys. Rev. Lett. 108

2012

Cited alongside, same era.

2018

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E. F. Dumitrescu, A. J. McCaskey, G. Hagen, G. R. Jansen, T. D. Morris, T. Papenbrock, R. C. Pooser, D. J. Dean, and P. Lougovski, Phys. Rev. Lett. 120

2018

Later among the works it cites.

S. Woerner and D. J. Egger, npj Quantum Information 5

2019

Later among the works it cites.

G. Aleksandrowicz, T. Alexander, P. Barkoutsos, L. Bello, Y. Ben-Haim, D. Bucher, F. J. Cabrera-Hernádez, J. Carballo-Franquis, A. Chen, C.-F. Chen, et al., Qiskit: An open-source framework for quantum computing (2019)

2019

Later among the works it cites.