Fetching the paper…
Reading the bibliography…
Efficiently learning an unknown Hamiltonian given access to its dynamics is a problem of interest for quantum metrology, many-body physics and machine learning.
1910
Earlier work this paper cites.
1912
Earlier work this paper cites.
E. Jaynes and F. Cummings, Comparison of quantum and semiclassical radiation theories with application to the beam maser, Proc. IEEE 51
1963
Earlier work this paper cites.
C. M. Caves, Quantum-mechanical noise in an interferometer, Phys. Rev. D 23
1981
Earlier work this paper cites.
D. J. Wineland, J. J. Bollinger, W. M. Itano, F. L. Moore, and D. J. Heinzen, Spin squeezing and reduced quantum noise in spectroscopy, Phys. Rev. A 46
1992
Earlier work this paper cites.
M. J. Holland and K. Burnett, Interferometric detection of optical phase shifts at the Heisenberg limit, Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
M. Ulmke, V. Janiš, and D. Vollhardt, Anderson-Hubbard model in infinite dimensions, Phys. Rev. B 51
1995
Earlier work this paper cites.
J. J. . Bollinger, W. M. Itano, D. J. Wineland, and D. J. Heinzen, Optimal frequency measurements with maximally correlated states, Phys. Rev. A 54
1996
Earlier work this paper cites.
P. Fazekas, Lecture Notes on Electron Correlation and Magnetism , Vol. 5 (World Scientific, 1999)
1999
Earlier work this paper cites.
M. A. Nielsen, Quantum computation and quantum information (Cambridge University Press, Cambridge ; New York, 2000)
2000
Earlier work this paper cites.
G. D. Mahan, Many-particle physics , 3rd ed., Physics of solids and liquids (Kluwer Academic/Plenum Publishers, New York, 2000)
2000
Earlier work this paper cites.
G. Grimmett and D. Stirzaker, Probability and random processes , 3rd ed. (Oxford University Press, Oxford; New York, 2001)
2001
Earlier work this paper cites.
H. Lee, P. Kok, and J. P. Dowling, A quantum rosetta stone for interferometry, J. Mod. Opt. 49
2002
Earlier work this paper cites.
K. McKenzie, D. A. Shaddock, D. E. McClelland, B. C. Buchler, and P. K. Lam, Experimental demonstration of a squeezing-enhanced power-recycled michelson interferometer for gravitational wave detection, Phys. Rev. Lett. 88
2002
Earlier work this paper cites.
A. Valencia, G. Scarcelli, and Y. Shih, Distant clock synchronization using entangled photon pairs, Appl. Phys. Lett. 85
2004
Earlier work this paper cites.
D. Leibfried, M. D. Barrett, T. Schaetz, J. Britton, J. Chiaverini, W. M. Itano, J. D. Jost, C. Langer, and D. J. Wineland, Toward Heisenberg-limited spectroscopy with multiparticle entangled states, Science 304
2004
Earlier work this paper cites.
M. de Burgh and S. D. Bartlett, Quantum methods for clock synchronization: Beating the standard quantum limit without entanglement, Phys. Rev. A 72
2005
Earlier work this paper cites.
S. Bravyi, Lagrangian representation for fermionic linear optics, Quantum Inf. Comput. 5
2005
Earlier work this paper cites.
A. Sergeevich, A. Chandran, J. Combes, S. D. Bartlett, and H. M. Wiseman, Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis, Phys. Rev. A 84
2011
Earlier work this paper cites.
A. Shabani, M. Mohseni, S. Lloyd, R. L. Kosut, and H. Rabitz, Estimation of many-body quantum Hamiltonians via compressive sensing, Phys. Rev. A 84
2011
Earlier work this paper cites.
D. Burgarth, K. Maruyama, and F. Nori, Indirect quantum tomography of quadratic Hamiltonians, New J. Phys. 13
2011
Earlier work this paper cites.
M. P. da Silva, O. Landon-Cardinal, and D. Poulin, Practical characterization of quantum devices without tomography, Phys. Rev. Lett. 107
2011
Earlier work this paper cites.
C. Ferrie, C. E. Granade, and D. G. Cory, How to best sample a periodic probability distribution, or on the accuracy of Hamiltonian finding strategies, Quantum Inf. Process. 12
2013
Cited alongside, same era.
S. Pang and T. A. Brun, Quantum metrology for a general Hamiltonian parameter, Phys. Rev. A 90
2014
Cited alongside, same era.
J. Zhang and M. Sarovar, Quantum Hamiltonian identification from measurement time traces, Phys. Rev. Lett. 113
2014
Cited alongside, same era.
M. Bukov and L. Pollet, Mean-field phase diagram of the Bose-Fermi Hubbard model, Phys. Rev. B 89
2014
Cited alongside, same era.
M. Holzäpfel, T. Baumgratz, M. Cramer, and M. B. Plenio, Scalable reconstruction of unitary processes and Hamiltonians, Phys. Rev. A 91
2015
Cited alongside, same era.
J. Koepsell, S. Hirthe, D. Bourgund, P. Sompet, J. Vijayan, G. Salomon, C. Gross, and I. Bloch, Robust bilayer charge pumping for spin- and density-resolved quantum gas microscopy, Phys. Rev. Lett. 125
2020
Later among the works it cites.
2021
Later among the works it cites.
A. Anshu, S. Arunachalam, T. Kuwahara, and M. Soleimanifar, Sample-efficient learning of interacting quantum systems, Nat. Phys. 17
2021
Later among the works it cites.
A. E. Russo, W. M. Kirby, K. M. Rudinger, A. D. Baczewski, and S. Kimmel, Consistency testing for robust phase estimation, Phys. Rev. A 103
2021
Later among the works it cites.
N. Giovanni, M. Civelli, and M. C. Aguiar, Anderson localization effects on the doped Hubbard model, Phys. Rev. B 103
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
N. Wiebe, C. Granade, and D. G. Cory, Quantum bootstrapping via compressed quantum Hamiltonian learning, New J. Phys. 17
2015
Cited alongside, same era.
S. Kimmel, G. H. Low, and T. J. Yoder, Robust calibration of a universal single-qubit gate set via robust phase estimation, Phys. Rev. A 92
2015
Cited alongside, same era.
L. W. Cheuk, M. A. Nichols, M. Okan, T. Gersdorf, V. V. Ramasesh, W. S. Bakr, T. Lompe, and M. W. Zwierlein, Quantum-gas microscope for fermionic atoms, Phys. Rev. Lett. 114
2015
Cited alongside, same era.
E. Haller, J. Hudson, A. Kelly, D. A. Cotta, B. Peaudecerf, G. D. Bruce, and S. Kuhr, Single-atom imaging of fermions in a quantum-gas microscope, Nat. Phys. 11
2015
Cited alongside, same era.
T. Baumgratz and A. Datta, Quantum enhanced estimation of a multidimensional field, Phys. Rev. Lett. 116
2016
Cited alongside, same era.
J. Wang, S. Paesani, R. Santagati, S. Knauer, A. A. Gentile, N. Wiebe, M. Petruzzella, J. L. O’Brien, J. G. Rarity, A. Laing, and M. G. Thompson, Experimental quantum Hamiltonian learning, Nat. Phys. 13
2017
Cited alongside, same era.
P. T. Brown, D. Mitra, E. Guardado-Sanchez, P. Schauß, S. S. Kondov, E. Khatami, T. Paiva, N. Trivedi, D. A. Huse, and W. S. Bakr, Spin-imbalance in a 2d Fermi-Hubbard system, Science 357
2017
Cited alongside, same era.
2021
Later among the works it cites.
N. T. Vidal, M. L. Bera, A. Riera, M. Lewenstein, and M. N. Bera, Quantum operations in an information theory for fermions, Phys. Rev. A 104
2021
Later among the works it cites.
2022
Later among the works it cites.
K. Çeven, M. O. Oktel, and A. Keleş, Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux, Phys. Rev. A 106
2022
Later among the works it cites.
A. Kale, J. H. Huhn, M. Xu, L. H. Kendrick, M. Lebrat, C. Chiu, G. Ji, F. Grusdt, A. Bohrdt, and M. Greiner, Schrieffer-wolff transformations for experiments: Dynamically suppressing virtual doublon-hole excitations in a Fermi-Hubbard simulator, Phys. Rev. A 106
2022
Later among the works it cites.
A. Dutt, E. Pednault, C. W. Wu, S. Sheldon, J. Smolin, L. Bishop, and I. L. Chuang, Active learning of quantum system Hamiltonians yields query advantage, Phys. Rev. Res. 5
2023
Later among the works it cites.
D. Rattacaso, G. Passarelli, and P. Lucignano, High-accuracy Hamiltonian learning via delocalized quantum state evolutions, Quantum 7
2023
Later among the works it cites.
W. Yu, J. Sun, Z. Han, and X. Yuan, Robust and efficient Hamiltonian learning, Quantum 7
2023
Later among the works it cites.
H.-Y. Huang, Y. Tong, D. Fang, and Y. Su, Learning many-body Hamiltonians with Heisenberg-limited scaling, Phys. Rev. Lett. 130
2023
Later among the works it cites.
M. Xu, L. H. Kendrick, A. Kale, Y. Gang, G. Ji, R. T. Scalettar, M. Lebrat, and M. Greiner, Frustration- and doping-induced magnetism in a Fermi–Hubbard simulator, Nature 620
2023
Later among the works it cites.
H. Ni, H. Li, and L. Ying, On low-depth algorithms for quantum phase estimation, Quantum 7
2023
Later among the works it cites.
D. S. França, L. A. Markovich, V. V. Dobrovitski, A. H. Werner, and J. Borregaard, Efficient and robust estimation of many-qubit Hamiltonians, Nat. Commun. 15
2024
Closest in time.
J. Haah, R. Kothari, and E. Tang, Learning quantum Hamiltonians from high-temperature Gibbs states and real-time evolutions, Nat. Phys. 20
2024
Closest in time.
H. Li, Y. Tong, H. Ni, T. Gefen, and L. Ying, Heisenberg-limited Hamiltonian learning for interacting bosons, Npj Quantum Inf. 10
2024
Closest in time.
A. Dutkiewicz, T. E. O’Brien, and T. Schuster, The advantage of quantum control in many-body Hamiltonian learning, Quantum 8
2024
Closest in time.
D. Hangleiter, I. Roth, J. Fuksa, J. Eisert, and P. Roushan, Robustly learning the Hamiltonian dynamics of a superconducting quantum processor, Nat. Commun. 15
2024
Closest in time.
H. Ni, H. Li, and L. Ying, Quantum Hamiltonian learning for the Fermi-Hubbard model, Acta Appl. Math. 191
2024
Closest in time.
M. Lebrat, M. Xu, L. H. Kendrick, A. Kale, Y. Gang, P. Seetharaman, I. Morera, E. Khatami, E. Demler, and M. Greiner, Observation of Nagaoka polarons in a Fermi-Hubbard quantum simulator, Nature 629
2024
Closest in time.