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The required precision to perform quantum simulations beyond the capabilities of classical computers imposes major experimental and theoretical challenges.
1905
Earlier work this paper cites.
1905
Earlier work this paper cites.
1912
Earlier work this paper cites.
C. E. Shannon, Communication in the Presence of Noise , Proceedings of the IRE 37
1949
Earlier work this paper cites.
D. R. Hofstadter, Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields , Phys. Rev. B 14
1976
Earlier work this paper cites.
R. P. Feynman, Simulating Physics with computers , Int. J. Theor. Phys. 21
1982
Earlier work this paper cites.
J. J. Bartholdi, A good submatrix Is hard to find , Operations Research Letters 1
1982
Earlier work this paper cites.
R. Roy, A. Paulraj, and T. Kailath, Estimation of signal parameters via rotational invariance techniques-ESPRIT , in MILCOM 1986-IEEE Military Communications Conference: Communications-Computers: Teamed for the 90’s , Vol. 3 (IEEE, 1986) pp. 41–6
1986
Earlier work this paper cites.
R. Schmidt, Multiple emitter location and signal parameter estimation , IEEE Trans. Ant. Prop. 34
1986
Earlier work this paper cites.
R. Roy, A. Paulraj, and T. Kailath, Estimation of signal parameters via rotational invariance techniques-ESPRIT , in MILCOM 1986-IEEE Military Communications Conference: Communications-Computers: Teamed for the 90’s , Vol. 3 (IEEE, 1986) pp. 41–6
1986
Earlier work this paper cites.
R. Roy and T. Kailath, ESPRIT-estimation of signal parameters via rotational invariance techniques , IEEE Transactions on Acoustics, Speech, and Signal Processing 37
1989
Earlier work this paper cites.
G. H. Golub and C. F. van Loan, Matrix computations (The Johns Hopkins University Press, Baltimore, 1989)
1989
Earlier work this paper cites.
S. Lloyd, Universal quantum simulators , Science 273
1996
Earlier work this paper cites.
A. Edelman, T. A. Arias, and S. T. Smith, The geometry of algorithms with orthogonality constraints , SIAM J. Matr. Ana. App. 20
1998
Earlier work this paper cites.
A. Edelman, T. A. Arias, and S. T. Smith, The geometry of algorithms with orthogonality constraints , SIAM J. Matr. Ana. App. 20
1998
Earlier work this paper cites.
S. G. Schirmer, A. Kolli, and D. K. L. Oi, Experimental Hamiltonian identification for controlled two-level systems , Phys. Rev. A 69
2004
Earlier work this paper cites.
J. H. Cole, S. G. Schirmer, A. D. Greentree, C. J. Wellard, D. K. L. Oi, and L. C. L. Hollenberg, Identifying an experimental two-state Hamiltonian to arbitrary accuracy , Phys. Rev. A 71
2005
Earlier work this paper cites.
D. Aharonov and M. Ben-Or, Fault-tolerant quantum computation with constant error rate , SIAM J. Comput. 38
2008
Earlier work this paper cites.
S. G. Schirmer, D. K. L. Oi, and S. J. Devitt, Physics-based mathematical models for quantum devices via experimental system identification , J. Phys. Conf. Ser. 107
2008
Earlier work this paper cites.
E. Candes and M. Wakin, An introduction To compressive sampling , IEEE Signal Process. Mag. 25
2008
Earlier work this paper cites.
S. G. Schirmer and D. K. L. Oi, Two-qubit Hamiltonian tomography by Bayesian analysis of noisy data , Phys. Rev. A 80
2009
Earlier work this paper cites.
D. Burgarth, K. Maruyama, and F. Nori, Coupling strength estimation for spin chains despite restricted access , Phys. Rev. A 79
2009
Earlier work this paper cites.
D. Burgarth and K. Maruyama, Indirect Hamiltonian identification through a small gateway , New J. Phys. 11
2009
Earlier work this paper cites.
C. Di Franco, M. Paternostro, and M. S. Kim, Hamiltonian Tomography in an access-limited setting without state initialization , Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
T. Abrudan, J. Eriksson, and V. Koivunen, Conjugate gradient algorithm for optimization under unitary matrix constraint , Signal Processing 89
2009
Earlier work this paper cites.
P.-A. Absil, R. Mahony, and R. Sepulchre, Optimization algorithms on matrix manifolds (Princeton University Press, 2009) google-Books-ID: NSQGQeLN3NcC
2009
Earlier work this paper cites.
T. Abrudan, J. Eriksson, and V. Koivunen, Conjugate gradient algorithm for optimization under unitary matrix constraint , Signal Processing 89
2009
Earlier work this paper cites.
M. Wieśniak and M. Markiewicz, Finding traps in non-linear spin arrays , Phys. Rev. A 81
2010
Cited alongside, same era.
2010
Cited alongside, same era.
D. Burgarth, K. Maruyama, and F. Nori, Indirect quantum tomography of quadratic Hamiltonians , New J. Phys. 13
2011
Cited alongside, same era.
P. Bühlmann and S. V. D. Geer, Statistics for high-dimensional data , Springer Series in Statistics, Vol. 9 (Springer, Berlin, 2011)
2011
Cited alongside, same era.
2011
A. Valenti, E. van Nieuwenburg, S. Huber, and E. Greplova, Hamiltonian learning for quantum error correction , Phys. Rev. Res. 1
2019
Later among the works it cites.
S. Krastanov, S. Zhou, S. T. Flammia, and L. Jiang, Stochastic estimation of dynamical variables , Quantum Sci. Technol. 4
2019
Later among the works it cites.
E. Derbyshire, J. Y. Malo, A. J. Daley, E. Kashefi, and P. Wallden, Randomized benchmarking in the analogue setting , Quantum Sci. Technol. 5
2020
Later among the works it cites.
J. Helsen, S. Nezami, M. Reagor, and M. Walter, Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates , Quantum 6
2020
Later among the works it cites.
E. Bairey, C. Guo, D. Poletti, N. H. Lindner, and I. Arad, Learning the dynamics of open quantum systems from their steady states , New J. Phys. 22
2020
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2012
Cited alongside, same era.
R. Blatt and C. F. Roos, Quantum simulations with trapped ions , Nature Phys. 8
2012
Cited alongside, same era.
D. K. L. Oi and S. G. Schirmer, Quantum system characterization with limited resources , Phil. Trans. R. Soc. A 370
2012
Cited alongside, same era.
D. Burgarth and K. Yuasa, Quantum system identification , Phys. Rev. Lett. 108
2012
Cited alongside, same era.
E. H. Lapasar, K. Maruyama, D. Burgarth, T. Takui, Y. Kondo, and M. Nakahara, Estimation of coupling constants of a three-spin chain: Case study of Hamiltonian tomography with NMR , New J. Phys. 14
2012
Cited alongside, same era.
E. J. Candès and C. Fernandez-Granda, Super-resolution from noisy data , J. Fourier An. App. 19
2013
Cited alongside, same era.
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