Built on

Stroberg, S.R., Bogner, S.K., Hergert, H., Holt, J.D.: Nonempirical Interactions for the Nuclear Shell Model: An Update. Ann. Rev. Nucl. Part. Sci. 69
Original
1902
Earlier work this paper cites.
Idini, A., Barbieri, C., Navrátil, P.: Ab Initio Optical Potentials and Nucleon Scattering on Medium Mass Nuclei. Phys. Rev. Lett. 123
Original
1903
Earlier work this paper cites.
Stroberg, S.R., Holt, J.D., Schwenk, A., Simonis, J.: Ab Initio Limits of Atomic Nuclei. Phys. Rev. Lett. 126
Original
1905
Earlier work this paper cites.
Dawkins, W.G., Carlson, J., Kolck, U., Gezerlis, A.: Clustering of Four-Component Unitary Fermions. Phys. Rev. Lett. 124
Original
1908
Earlier work this paper cites.
Yao, J.M., Bally, B., Engel, J., Wirth, R., Rodríguez, T.R., Hergert, H.: Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of 48
Original
1908
Earlier work this paper cites.
Smirnova, N.A., Barrett, B.R., Kim, Y., Shin, I.J., Shirokov, A.M., Dikmen, E., Maris, P., Vary, J.P.: Effective interactions in the s d sd shell. Phys. Rev. C 100
Original
1909
Earlier work this paper cites.
Feynman, R.P.: Forces in molecules. Phys. Rev. 56
1939
Earlier work this paper cites.
Trotter, H.F.: On the product of semi-groups of operators. Proc. Amer. Math. Soc. 10
1959
Earlier work this paper cites.
Suzuki, M.: Generalized trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems. Comm. Math. Phys. 51
1976
Earlier work this paper cites.
Kitaev, A.Yu.: Quantum measurements and the Abelian stabilizer problem. Electronic Colloquium on Computational Complexity 3
1996
Earlier work this paper cites.
Cleve, R., Ekert, A., Macchiavello, C., Mosca, M.: Quantum algorithms revisited. Proceedings of the Royal Society of London Series A 454
1998
Earlier work this paper cites.
Abrams, D.S., Lloyd, S.: Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors. Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
Farhi, E., Goldstone, J., Gutmann, S., Sipser, M.: Quantum Computation by Adiabatic Evolution (2000)
2000
Earlier work this paper cites.
Tichai, A., Roth, R., Duguet, T.: Many-body perturbation theories for finite nuclei. Front. in Phys. 8
Original
2001
Earlier work this paper cites.
Roggero, A.: Spectral density estimation with the Gaussian Integral Transform. Phys. Rev. A 102
Original
2004
Earlier work this paper cites.
Dreyfuss, A.C., Launey, K.D., Escher, J.E., Sargsyan, G.H., Baker, R.B., Dytrych, T., Draayer, J.P.: Clustering and α \alpha -capture reaction rate from ab initio symmetry-adapted descriptions of 20
Original
2006
Earlier work this paper cites.

Similar

Choi, K., Lee, D., Bonitati, J., Qian, Z., Watkins, J.: Rodeo Algorithm for Quantum Computing. Phys. Rev. Lett. 127
Original
2009
Cited alongside, same era.
Roggero, A., Gu, C., Baroni, A., Papenbrock, T.: Preparation of excited states for nuclear dynamics on a quantum computer. Phys. Rev. C 102
Original
2009
Cited alongside, same era.
Raghavan, K., Balaprakash, P., Lovato, A., Rocco, N., Wild, S.M.: Machine learning-based inversion of nuclear responses. Phys. Rev. C 103
Original
2010
Cited alongside, same era.
Wiebe, N., Babcock, N.S.: Improved error-scaling for adiabatic quantum evolutions. New Journal of Physics 14
2012
Cited alongside, same era.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2012). https://doi.org/10.1017/cbo9780511976667

Then

Dytrych, T., Launey, K.D., Draayer, J.P., Rowe, D., Wood, J., Rosensteel, G., Bahri, C., Langr, D., Baker, R.B.: Physics of nuclei: Key role of an emergent symmetry. Phys. Rev. Lett. 124
Original
2020
Later among the works it cites.
Jiang, W.G., Ekström, A., Forssén, C., Hagen, G., Jansen, G.R., Papenbrock, T.: Accurate bulk properties of nuclei from A = 2 A=2 to ∞ \infty from potentials with Δ \Delta isobars. Phys. Rev. C 102
Original
2020
Later among the works it cites.
Sobczyk, J.E., Acharya, B., Bacca, S., Hagen, G.: Ab initio computation of the longitudinal response function in 40
Original
2021
Closest in time.
Sobczyk, J.E., Roggero, A.: Spectral density reconstruction with Chebyshev polynomials (2021) arXiv:2110.02108 [nucl-th]
Original
2021
Closest in time.

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Reading the bibliography…

2021

Demonstration of the Rodeo Algorithm on a Quantum Computer

Qian, Zhengrong, Watkins, Jacob, Given, Gabriel et al.

Understand

The rodeo algorithm is an efficient algorithm for eigenstate preparation and eigenvalue estimation for any observable on a quantum computer.

This makes it a promising tool for studying the spectrum and structure of atomic nuclei as well as other fields of quantum many-body physics.
The only requirement is that the initial state has sufficient overlap probability with the desired eigenstate.
While it is exponentially faster than well-known algorithms such as phase estimation and adiabatic evolution for eigenstate preparation, it has yet to be implemented on an actual quantum device.

Built on

Stroberg, S.R., Bogner, S.K., Hergert, H., Holt, J.D.: Nonempirical Interactions for the Nuclear Shell Model: An Update. Ann. Rev. Nucl. Part. Sci. 69
Original
1902
Earlier work this paper cites.
Idini, A., Barbieri, C., Navrátil, P.: Ab Initio Optical Potentials and Nucleon Scattering on Medium Mass Nuclei. Phys. Rev. Lett. 123
Original
1903
Earlier work this paper cites.
Stroberg, S.R., Holt, J.D., Schwenk, A., Simonis, J.: Ab Initio Limits of Atomic Nuclei. Phys. Rev. Lett. 126
Original
1905
Earlier work this paper cites.
Dawkins, W.G., Carlson, J., Kolck, U., Gezerlis, A.: Clustering of Four-Component Unitary Fermions. Phys. Rev. Lett. 124
Original
1908
Earlier work this paper cites.
Yao, J.M., Bally, B., Engel, J., Wirth, R., Rodríguez, T.R., Hergert, H.: Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of 48
Original
1908
Earlier work this paper cites.
Smirnova, N.A., Barrett, B.R., Kim, Y., Shin, I.J., Shirokov, A.M., Dikmen, E., Maris, P., Vary, J.P.: Effective interactions in the s d sd shell. Phys. Rev. C 100
Original
1909
Earlier work this paper cites.
Feynman, R.P.: Forces in molecules. Phys. Rev. 56
1939
Earlier work this paper cites.
Trotter, H.F.: On the product of semi-groups of operators. Proc. Amer. Math. Soc. 10
1959
Earlier work this paper cites.
Suzuki, M.: Generalized trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems. Comm. Math. Phys. 51
1976
Earlier work this paper cites.
Kitaev, A.Yu.: Quantum measurements and the Abelian stabilizer problem. Electronic Colloquium on Computational Complexity 3
1996
Earlier work this paper cites.
Cleve, R., Ekert, A., Macchiavello, C., Mosca, M.: Quantum algorithms revisited. Proceedings of the Royal Society of London Series A 454
1998
Earlier work this paper cites.
Abrams, D.S., Lloyd, S.: Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors. Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
Farhi, E., Goldstone, J., Gutmann, S., Sipser, M.: Quantum Computation by Adiabatic Evolution (2000)
2000
Earlier work this paper cites.
Tichai, A., Roth, R., Duguet, T.: Many-body perturbation theories for finite nuclei. Front. in Phys. 8
Original
2001
Earlier work this paper cites.
Roggero, A.: Spectral density estimation with the Gaussian Integral Transform. Phys. Rev. A 102
Original
2004
Earlier work this paper cites.
Dreyfuss, A.C., Launey, K.D., Escher, J.E., Sargsyan, G.H., Baker, R.B., Dytrych, T., Draayer, J.P.: Clustering and α \alpha -capture reaction rate from ab initio symmetry-adapted descriptions of 20
Original
2006
Earlier work this paper cites.

Similar

Choi, K., Lee, D., Bonitati, J., Qian, Z., Watkins, J.: Rodeo Algorithm for Quantum Computing. Phys. Rev. Lett. 127
Original
2009
Cited alongside, same era.
Roggero, A., Gu, C., Baroni, A., Papenbrock, T.: Preparation of excited states for nuclear dynamics on a quantum computer. Phys. Rev. C 102
Original
2009
Cited alongside, same era.
Raghavan, K., Balaprakash, P., Lovato, A., Rocco, N., Wild, S.M.: Machine learning-based inversion of nuclear responses. Phys. Rev. C 103
Original
2010
Cited alongside, same era.
Wiebe, N., Babcock, N.S.: Improved error-scaling for adiabatic quantum evolutions. New Journal of Physics 14
2012
Cited alongside, same era.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2012). https://doi.org/10.1017/cbo9780511976667

Then

Dytrych, T., Launey, K.D., Draayer, J.P., Rowe, D., Wood, J., Rosensteel, G., Bahri, C., Langr, D., Baker, R.B.: Physics of nuclei: Key role of an emergent symmetry. Phys. Rev. Lett. 124
Original
2020
Later among the works it cites.
Jiang, W.G., Ekström, A., Forssén, C., Hagen, G., Jansen, G.R., Papenbrock, T.: Accurate bulk properties of nuclei from A = 2 A=2 to ∞ \infty from potentials with Δ \Delta isobars. Phys. Rev. C 102
Original
2020
Later among the works it cites.
Sobczyk, J.E., Acharya, B., Bacca, S., Hagen, G.: Ab initio computation of the longitudinal response function in 40
Original
2021
Closest in time.
Sobczyk, J.E., Roggero, A.: Spectral density reconstruction with Chebyshev polynomials (2021) arXiv:2110.02108 [nucl-th]
Original
2021
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

Svore, K.M., Hastings, M.B., Freedman, M.: Faster Phase Estimation. Quant. Inf. Comp. 14

Original

2013

Cited alongside, same era.

Peruzzo, A., McClean, J., Shadbolt, P., Yung, M.-H., Zhou, X.-Q., Love, P.J., Aspuru-Guzik, A., O’Brien, J.L.: A variational eigenvalue solver on a photonic quantum processor. Nature Communications 5

Original

2014

Cited alongside, same era.

Barbieri, C., Carbone, A.: Self-consistent Green’s function approaches. Lect. Notes Phys. 936

Original

2017

Cited alongside, same era.

Lonardoni, D., Carlson, J., Gandolfi, S., Lynn, J.E., Schmidt, K.E., Schwenk, A., Wang, X.: Properties of nuclei up to A = 16 A=16 using local chiral interactions (2017) arXiv:1709.09143 [nucl-th]

Original

2017

Cited alongside, same era.

Wirth, R., Gazda, D., Navrátil, P., Roth, R.: Hypernuclear No-Core Shell Model. Phys. Rev. C 97

Original

2018

Cited alongside, same era.

Lonardoni, D., Gandolfi, S., Lynn, J.E., Petrie, C., Carlson, J., Schmidt, K.E., Schwenk, A.: Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions. Phys. Rev. C 97

Original

2018

Cited alongside, same era.

Piarulli, M., et al

Original

2018

Cited alongside, same era.

Cortes, C.L., Gray, S.K.: Quantum Krylov subspace algorithms for ground and excited state energy estimation. arXiv e-prints, 2109–06868 (2021) arXiv:2109.06868 [quant-ph]

Original

2021

Closest in time.

Childs, A.M., Su, Y., Tran, M.C., Wiebe, N., Zhu, S.: Theory of trotter error with commutator scaling. Phys. Rev. X 11

2021

Closest in time.

Elhatisari, S., et al.: Wave function matching for the quantum many-body problem (2022) arXiv:2210.17488 [nucl-th]

Original

2022

Closest in time.

O’Brien, T.E., et al

Original

2022

Closest in time.

Shen, S., Elhatisari, S., Lähde, T.A., Lee, D., Lu, B.-N., Meißner, U.-G.: Emergent geometry and duality in the carbon nucleus. Nature Commun. 14

Original

2023

Closest in time.

Ayral, T., Besserve, P., Lacroix, D., Ruiz Guzman, E.A.: Quantum computing with and for many-body physics. Eur. Phys. J. A 59

Original

2023

Closest in time.

Rocha, J.C.S., Gomes, R.F.I., Nogueira, W.A.T., Dias, R.A.: Estimating the Number of States via the Rodeo Algorithm for Quantum Computation (2023) arXiv:2312.04322 [quant-ph]

Original

2023

Closest in time.

Cohen, T.D., Oh, H.: Optimizing the rodeo projection algorithm. Phys. Rev. A 108

Original

2023

Closest in time.

Lai, J., Fan, Y., Fu, Q., Li, Z., Yang, J.: Accurate and efficient calculations of Hellmann–Feynman forces for quantum computation. J. Chem. Phys. 159

2023

Closest in time.

Kiss, O., Grossi, M., Roggero, A.: Quantum error mitigation for Fourier moment computation (2024) arXiv:2401.13048 [quant-ph]

Original

2024

Closest in time.

Lee, D.: Quantum techniques for eigenvalue problems. Eur. Phys. J. A 59

Original

2024

Closest in time.