Fetching the paper…
Reading the bibliography…
Quantum Hamiltonian identification is important for characterizing the dynamics of quantum systems, calibrating quantum devices and achieving precise quantum control.
R. A. Horn and C. R. Johnson, Matrix Analysis
1985
Earlier work this paper cites.
P. Lancaster and M. Tismenetsky,
1985
Earlier work this paper cites.
W. K. Wootters and B. D. Fields, “Optimal state-determination by mutually unbiased measurements,”
1989
Earlier work this paper cites.
Z. Hradil, “Quantum-state estimation,”
1997
Earlier work this paper cites.
R. Bhatia,
1997
Earlier work this paper cites.
L. Ljung, System Identification - Theory for the User
1999
Earlier work this paper cites.
Y. M. Nechepurenko, “New spectral analysis technology based on the Schur decomposition,”
1999
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information
2000
Earlier work this paper cites.
D. Bleichenbacher and P. Q. Nguyen, “Noisy polynomial interpolation and noisy Chinese remaindering,” in
2000
Earlier work this paper cites.
J. Fiurás̆ek and Z. Hradil, “Maximum-likelihood estimation of quantum processes,” Phys. Rev. A
2001
Earlier work this paper cites.
M. F. Sacchi, “Maximum-likelihood reconstruction of completely positive maps,” Phys. Rev. A
2001
Earlier work this paper cites.
J. M. Geremia and H. Rabitz, “Optimal identification of Hamiltonian information by closed-loop laser control of quantum systems,” Phys. Rev. Lett
2002
Earlier work this paper cites.
J. B. Altepeter, D. Branning, E. Jeffrey, T. C. Wei, P. G. Kwiat, R. T. Thew, J. L. O’Brien, M. A. Nielsen and A. G. White, “Ancilla-assisted quantum process tomography,” Phys. Rev. Lett
2003
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
2004
Earlier work this paper cites.
M. Paris and J. Řeháček,
2004
Earlier work this paper cites.
J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph and A. G. White, “Quantum process tomography of a controlled-NOT gate,”
2004
Earlier work this paper cites.
J. M. Renes, R. Blume-Kohout, A. J. Scott and C. M. Caves, “Symmetric informationally complete quantum measurements,”
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
2005
Cited alongside, same era.
C. Le Bris, M. Mirrahimi, H. Rabitz and G. Turinici, “Hamiltonian identification for quantum systems: well-posedness and numerical approaches,” ESAIM Control Optim. Calc. Var
2007
Cited alongside, same era.
N. J. Higham,
2008
Cited alongside, same era.
M. D. de Burgh, N. K. Langford, A. C. Doherty and A. Gilchrist, “Choice of measurement sets in qubit tomography,”
2008
Cited alongside, same era.
E. D. Sontag, Y. Wang, A. Megretski, “Input classes for identifiability of bilinear systems,” IEEE Trans. Autom. Control
2009
Cited alongside, same era.
D. Burgarth and K. Yuasa, “Quantum system identification,” Phys. Rev. Lett
2012
Later among the works it cites.
Z. Leghtas, G. Turinici, H. Rabitz and P. Rouchon, “Hamiltonian identification through enhanced observability utilizing quantum control,” IEEE Trans. Autom. Control
2012
Later among the works it cites.
B. Qi, Z. Hou, L. Li, D. Dong, G.-Y. Xiang, G.-C. Guo, “Quantum state tomography via linear regression estimation,” Sci. Rep
2013
Later among the works it cites.
G. H. Golub and C. F. Van Loan,
2013
Later among the works it cites.
X. Wu and K. Xu, “Partial standard quantum process tomography,”
2013
Later among the works it cites.
H. F. Chen and W. Zhao, Recursive Identification and Parameter Estimation
2014
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
C. Di Franco, M. Paternostro and M. S. Kim, “Hamiltonian tomography in an access-limited setting without state initialization,” Phys. Rev. Lett
2009
Cited alongside, same era.
S. Bonnabel, M. Mirrahimi and P. Rouchon, “Observer-based Hamiltonian identification for quantum systems,” Automatica
2009
Cited alongside, same era.
S. G. Schirmer and D. K. L. Oi, “Two-qubit Hamiltonian tomography by Bayesian analysis of noisy data,” Phys. Rev. A
2009
Cited alongside, same era.
R. Blume-Kohout, “Optimal, reliable estimation of quantum states,”
2010
Cited alongside, same era.
G.-Y. Xiang, B. L. Higgins, D. W. Berry, H. M. Wiseman and G. J. Pryde, “Entanglement-enhanced measurement of a completely unknown optical phase,” Nat. Photonics
2011
Cited alongside, same era.
D. Burgarth, K. Maruyama and F. Nori, “Indirect quantum tomography of quadratic Hamiltonians,” New J. Phys
2011
Cited alongside, same era.
C. Ferrie, C. E. Granade and D. G. Cory, “Adaptive Hamiltonian estimation using Bayesian experimental design,” arXiv preprint
2011
Cited alongside, same era.
Later among the works it cites.
J. Zhang and M. Sarovar, “Quantum Hamiltonian identification from measurement time traces,” Phys. Rev. Lett
2014
Later among the works it cites.
A. Miranowicz, K. Bartkiewicz, J. Peřina Jr., M. Koashi, N. Imoto and F. Nori, “Optimal two-qubit tomography based on local and global measurements: Maximal robustness against errors as described by condition numbers,”
2014
Later among the works it cites.
K. Rudinger and R. Joynt, “Compressed sensing for Hamiltonian reconstruction,” Phys. Rev. A
2015
Later among the works it cites.
S. T. Wang, D. L. Deng and L. M. Duan, “Hamiltonian tomography for quantum many-body systems with arbitrary couplings,” New J. Phys
2015
Later among the works it cites.
H. Yuan and C. F. Fung, “Optimal feedback scheme and universal time scaling for Hamiltonian parameter estimation,” Phys. Rev. Lett
2015
Later among the works it cites.
B. Qi, Z. Hou, Y. Wang, D. Dong, H.-S. Zhong, L. Li, G.-Y. Xiang, H. M. Wiseman, C.-F. Li and G.-C. Guo, “Recursively adaptive quantum state tomography: theory and two-qubit experiment,”
2015
Later among the works it cites.
Z. Hou, G.-Y. Xiang, D. Dong, C.-F. Li and G.-C. Guo, “Realization of mutually unbiased bases for a qubit with only one wave plate: theory and experiment,”
2015
Later among the works it cites.
M. Guţă and N. Yamamoto, “System identification for passive linear quantum systems,” IEEE Trans. Autom. Control
2016
Closest in time.
A. Sone and P. Cappellaro, “Hamiltonian identifiability assisted by single-probe measurement,” arXiv preprint
2016
Closest in time.
Z. Hou, H.-S. Zhong, Y. Tian, D. Dong, B. Qi, L. Li, Y. Wang, F. Nori, G.-Y. Xiang, C.-F. Li and G.-C. Guo, “Full reconstruction of a 14-qubit state within four hours,”
2016
Closest in time.
Y. Wang, B. Qi, D. Dong and I. R. Petersen, “An iterative algorithm for Hamiltonian identification of quantum systems,” in
2016
Closest in time.