Built on

A. Erhard, J. J. Wallman, L. Postler, M. Meth, R. Stricker, E. A. Martinez, P. Schindler, T. Monz, J. Emerson, and R. Blatt, arXiv preprint 1902.08543 (2019), arXiv:1902.08543
Original
1902
Earlier work this paper cites.
S.-Y. Hou, N. Cao, S. Lu, Y. Shen, Y.-T. Poon, and B. Zeng, arXiv preprint 1903.06569 (2019), arXiv:1903.06569
Original
1903
Earlier work this paper cites.
R. Harper, S. T. Flammia, and J. J. Wallman, arXiv preprint 1907.13022 (2019), arXiv:1907.13022
Original
1907
Earlier work this paper cites.
S. T. Flammia and J. J. Wallman, arXiv preprint 1907.12976 (2019), arXiv:1907.12976
Original
1907
Earlier work this paper cites.
E. Bairey, C. Guo, D. Poletti, N. H. Lindner, and I. Arad, arXiv preprint 1907.11154 (2019b), arXiv:1907.11154
Original
1907
Earlier work this paper cites.
J. Cotler and F. Wilczek, arXiv e-prints , 1908.02754 (2019), arXiv:1908.02754
Original
1908
Earlier work this paper cites.
G. García-Pérez, M. A. C. Rossi, B. Sokolov, E.-M. Borrelli, and S. Maniscalco, arXiv e-prints , 1909.12814 (2019), arXiv:1909.12814
Original
1909
Earlier work this paper cites.
D. Kahaner, C. Moler, and S. Nash, Numerical Methods and Software (Prentice Hall, 1989)
1989
Earlier work this paper cites.
R. Bhatia, Matrix Analysis (Springer New York, 1997)
1997
Earlier work this paper cites.
A. Sørensen and K. Mølmer, Phys. Rev. A 62
2000
Earlier work this paper cites.

Similar

J. Emerson, R. Alicki, and K. Życzkowski, Journal of Optics B: Quantum and Semiclassical Optics 7
2005
Cited alongside, same era.
N. Khaneja, T. Reiss, C. Kehlet, T. Schulte-Herbrüggen, and S. J. Glaser, Journal of Magnetic Resonance 172
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Cited alongside, same era.
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2005
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J. Emerson, M. Silva, O. Moussa, C. Ryan, M. Laforest, J. Baugh, D. G. Cory, and R. Laflamme, Science 317
Original
2007
Cited alongside, same era.
J. Kaipio and E. Somersalo, Journal of Computational and Applied Mathematics 198
2007
Cited alongside, same era.

Then

J. Kaipio and V. Kolehmainen, “Approximate marginalization over modelling errors and uncertainties in inverse problems,” (Springer, 2013) pp. 644–672
2013
Later among the works it cites.
N. Wiebe, C. Granade, and D. G. Cory, New Journal of Physics 17
2015
Later among the works it cites.
J. C. Bridgeman and C. T. Chubb, Journal of Physics A: Mathematical and Theoretical 50
2017
Later among the works it cites.
J. Preskill, Quantum 2
2018
Later among the works it cites.
J. R. Garrison and T. Grover, Phys. Rev. X 8
2018
Later among the works it cites.
E. Chertkov and B. K. Clark, Phys. Rev. X 8
2018
Later among the works it cites.

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2019

Scalable Bayesian Hamiltonian learning

Evans, Tim J., Harper, Robin, Flammia, Steven T.

Understand

As the size of quantum devices continues to grow, the development of scalable methods to characterise and diagnose noise is becoming an increasingly important problem.

Recent methods have shown how to efficiently estimate Hamiltonians in principle, but they are poorly conditioned and can only characterize the system up to a scalar factor, making them difficult to use in practice.
In this work we present a Bayesian methodology, called Bayesian Hamiltonian Learning (BHL), that addresses both of these issues by making use of any or all, of the following: well-characterised experimental control of Hamiltonian couplings, the preparation of multiple states, and the availability of any prior information for the Hamiltonian.
Importantly, BHL can be used online as an adaptive measurement protocol, updating estimates and their corresponding uncertainties as experimental data become available.

Built on

A. Erhard, J. J. Wallman, L. Postler, M. Meth, R. Stricker, E. A. Martinez, P. Schindler, T. Monz, J. Emerson, and R. Blatt, arXiv preprint 1902.08543 (2019), arXiv:1902.08543
Original
1902
Earlier work this paper cites.
S.-Y. Hou, N. Cao, S. Lu, Y. Shen, Y.-T. Poon, and B. Zeng, arXiv preprint 1903.06569 (2019), arXiv:1903.06569
Original
1903
Earlier work this paper cites.
R. Harper, S. T. Flammia, and J. J. Wallman, arXiv preprint 1907.13022 (2019), arXiv:1907.13022
Original
1907
Earlier work this paper cites.
S. T. Flammia and J. J. Wallman, arXiv preprint 1907.12976 (2019), arXiv:1907.12976
Original
1907
Earlier work this paper cites.
E. Bairey, C. Guo, D. Poletti, N. H. Lindner, and I. Arad, arXiv preprint 1907.11154 (2019b), arXiv:1907.11154
Original
1907
Earlier work this paper cites.
J. Cotler and F. Wilczek, arXiv e-prints , 1908.02754 (2019), arXiv:1908.02754
Original
1908
Earlier work this paper cites.
G. García-Pérez, M. A. C. Rossi, B. Sokolov, E.-M. Borrelli, and S. Maniscalco, arXiv e-prints , 1909.12814 (2019), arXiv:1909.12814
Original
1909
Earlier work this paper cites.
D. Kahaner, C. Moler, and S. Nash, Numerical Methods and Software (Prentice Hall, 1989)
1989
Earlier work this paper cites.
R. Bhatia, Matrix Analysis (Springer New York, 1997)
1997
Earlier work this paper cites.
A. Sørensen and K. Mølmer, Phys. Rev. A 62
2000
Earlier work this paper cites.

Similar

J. Emerson, R. Alicki, and K. Życzkowski, Journal of Optics B: Quantum and Semiclassical Optics 7
2005
Cited alongside, same era.
N. Khaneja, T. Reiss, C. Kehlet, T. Schulte-Herbrüggen, and S. J. Glaser, Journal of Magnetic Resonance 172
2005
Cited alongside, same era.
J. Kaipio and E. Somersalo, Statistical and computational inverse problems , Applied mathematical sciences, 160 (Springer, New York, 2005)
2005
Cited alongside, same era.
J. Emerson, M. Silva, O. Moussa, C. Ryan, M. Laforest, J. Baugh, D. G. Cory, and R. Laflamme, Science 317
Original
2007
Cited alongside, same era.
J. Kaipio and E. Somersalo, Journal of Computational and Applied Mathematics 198
2007
Cited alongside, same era.

Then

J. Kaipio and V. Kolehmainen, “Approximate marginalization over modelling errors and uncertainties in inverse problems,” (Springer, 2013) pp. 644–672
2013
Later among the works it cites.
N. Wiebe, C. Granade, and D. G. Cory, New Journal of Physics 17
2015
Later among the works it cites.
J. C. Bridgeman and C. T. Chubb, Journal of Physics A: Mathematical and Theoretical 50
2017
Later among the works it cites.
J. Preskill, Quantum 2
2018
Later among the works it cites.
J. R. Garrison and T. Grover, Phys. Rev. X 8
2018
Later among the works it cites.
E. Chertkov and B. K. Clark, Phys. Rev. X 8
2018
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

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2008

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C. Dankert, R. Cleve, J. Emerson, and E. Livine, Phys. Rev. A 80

2009

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E. Magesan, J. M. Gambetta, and J. Emerson, Phys. Rev. A 85

2012

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C. E. Granade, C. Ferrie, N. Wiebe, and D. G. Cory, New Journal of Physics 14

2012

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C. Ferrie and R. Blume-Kohout, in AIP Conference Proceedings 31st , Vol. 1443 (AIP, 2012) pp. 14–21

2012

Cited alongside, same era.

N. Wiebe, C. Granade, C. Ferrie, and D. Cory, Phys. Rev. A 89

Cited in the paper.

N. Wiebe, C. Granade, C. Ferrie, and D. G. Cory, Phys. Rev. Lett. 112

Cited in the paper.

S. Krastanov, S. Zhou, S. T. Flammia, and L. Jiang, Quantum Science and Technology 4

2019

Closest in time.

C. H. Yang, K. W. Chan, R. Harper, W. Huang, T. Evans, J. C. C. Hwang, B. Hensen, A. Laucht, T. Tanttu, F. E. Hudson, S. T. Flammia, K. M. Itoh, A. Morello, S. D. Bartlett, and A. S. Dzurak, Nature Electronics 2

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