[1] |
BLOKHINTSEV D I. Foundations of quantum mechanics[A]// Quantum Mechanics, Springer, 1964: 31-59.
|
[2] |
DUAN L M, LUKIN M D, CIRAC J I, et al. Long-distance quantum communication with atomic ensembles and linear optics[J]. Nature, 2001, 414: 413-418.
|
[3] |
BENSKY G, PETROSYAN D, MAJER J, et al. Optimizing inhomogeneous spin ensembles for quantum memory[J]. Physical Review A, 2012: 86(1): 012310.
|
[4] |
DONG D Y, PETERSEN I R. Quantum control theory and applications: A survey[J]. IET Control Theory & Applications, 2010: 4(12): 2651-2671.
|
[5] |
KUANG S, CONG S. Lyapunov control methods of closed quantum systems[J]. Automatica, 2008: 44(1):98-108.
|
[6] |
KUANG S, DONG D Y, PETERSEN IR. Rapid Lyapunov control of finite-dimensional quantum systems[J]. Automatica, 2017, 81: 164-175.
|
[7] |
KALACHEV A, KRLL S. Coherent control of collective spontaneous emission in an extended atomic ensemble and quantum storage[J]. Physical Review A, 2006, 74(2): 023814.
|
[8] |
MISCHUCK B E, MERKEL S T, DEUTSCH I H. Control of inhomogeneous atomic ensembles of hyperfine qudits[J]. Physical Review A, 2012, 85(2): 022302.
|
[9] |
LI J S. Ensemble control of finite-dimensional time-varying linear systems[J]. IEEE Transactions on Automatic Control, 2011, 56(2): 345-357.
|
[10] |
RUTHS J, LI J S. Optimal control of inhomogeneous ensembles[J]. IEEE Transactions on Automatic Control, 2012, 57(8): 2021-2032.
|
[11] |
BEAUCHARD K, DA SILVA P S P, ROUCHON P. Stabilization for an ensemble of half spin systems[J]. Automatica, 2012, 48(1): 68-76.
|
[12] |
CHEN C L, DONG D Y, LONG R X, et al. Sampling-based learning control of inhomogeneous quantum ensembles[J]. Physical Review A, 2014, 89(2): 023402.
|
[13] |
CHEN C L, DONG D Y, QI B, et al. Quantum ensemble classification: A sampling-based learning control approach[J]. IEEE transactions on neural networks and learning systems, 2017, 28(6): 1345-1359.
|
[14] |
VANDERSYPEN L MK, CHUANG I L. NMR techniques for quantum control and computation[J]. Reviews of Modern Physics, 2005, 76(4): 1037.
|
[15] |
KOBZAR K, LUY B, KHANEJA N, et al. Pattern pulses: Design of arbitrary excitation profiles as a function of pulse amplitude and offset[J]. Journal of Magnetic Resonance, 2005, 173(2): 229-235.
|
[16] |
PAULY J, ROUX P L, NISHIMURA D, et al. Parameter relations for the shinnarle roux selective excitation pulse design algorithm (NMR imaging)[J]. IEEE Transactions on Medical Imaging, 1991, 10(1): 53-65.
|
[17] |
MEYER C H, PAULY J M, MACOVSKIAND A, et al. Simultaneous spatial and spectral selective excitation[J]. Magnetic Resonance in Medicine, 1990, 15(2): 287-304.
|
[18] |
ZHANG T M, WU R B, ZHANG F H, et al. Minimum-time selective control of homonuclear spins[J]. IEEE Transactions on Control Systems Technology, 2015, 23(5): 2018-2025.
|
[19] |
KHANEJA N, BROCKETT R, GLASER SJ. Time optimal control in spin systems[J]. Physical Review A, 2001, 63(3): 032308.
|
[20] |
WERSCHNIK J, GROSS E K U. Quantum optimal control theory[J]. Journal of Physics B: Atomic, Molecular and Optical Physics, 2007, 40(18): R175.
|
[21] |
BOOZER A D. Time-optimal synthesis of su (2) transformations for a spin-1/2 system[J]. Physical Review A, 2012, 85(1): 012317.
|
[22] |
BOSCAIN U, CHITOURN Y. Time-optimal synthesis for left-invariant control systems on so (3)[J]. SIAM Journal on Control and Optimization, 2005, 44(1): 111-139.
|
[23] |
BOSCAIN U, MASON P. Time minimal trajectories for a spin 1/2 particle in a magnetic field[J]. Journal of Mathematical Physics, 2006, 47(6): 062101.
|
[24] |
CARLINI A, HOSOYA A, KOIKE T, et al. Time-optimal unitary operations[J]. Physical Review A, 2007, 75(4): 042308.
|
[25] |
KHANEJA N, REISS T, KEHLET C, et al. Optimal control of coupled spin dynamics: Design of NMR pulse sequences by gradient ascent algorithms. Journal of Magnetic Resonance, 2005, 172(2): 296-305.
|
[26] |
CHEN Q M, WU R B, ZHANG T M, et al. Near-time-optimal control for quantum systems[J]. Physical Review A, 2015, 92(6): 063415.
|
[27] |
YANG F, CONG S, LONG R X, et al. Exploring the transition-probability-control landscape of open quantum systems: Application to a two-level case[J]. Physical Review A, 2013, 88(3): 033420.
|
[1] |
BLOKHINTSEV D I. Foundations of quantum mechanics[A]// Quantum Mechanics, Springer, 1964: 31-59.
|
[2] |
DUAN L M, LUKIN M D, CIRAC J I, et al. Long-distance quantum communication with atomic ensembles and linear optics[J]. Nature, 2001, 414: 413-418.
|
[3] |
BENSKY G, PETROSYAN D, MAJER J, et al. Optimizing inhomogeneous spin ensembles for quantum memory[J]. Physical Review A, 2012: 86(1): 012310.
|
[4] |
DONG D Y, PETERSEN I R. Quantum control theory and applications: A survey[J]. IET Control Theory & Applications, 2010: 4(12): 2651-2671.
|
[5] |
KUANG S, CONG S. Lyapunov control methods of closed quantum systems[J]. Automatica, 2008: 44(1):98-108.
|
[6] |
KUANG S, DONG D Y, PETERSEN IR. Rapid Lyapunov control of finite-dimensional quantum systems[J]. Automatica, 2017, 81: 164-175.
|
[7] |
KALACHEV A, KRLL S. Coherent control of collective spontaneous emission in an extended atomic ensemble and quantum storage[J]. Physical Review A, 2006, 74(2): 023814.
|
[8] |
MISCHUCK B E, MERKEL S T, DEUTSCH I H. Control of inhomogeneous atomic ensembles of hyperfine qudits[J]. Physical Review A, 2012, 85(2): 022302.
|
[9] |
LI J S. Ensemble control of finite-dimensional time-varying linear systems[J]. IEEE Transactions on Automatic Control, 2011, 56(2): 345-357.
|
[10] |
RUTHS J, LI J S. Optimal control of inhomogeneous ensembles[J]. IEEE Transactions on Automatic Control, 2012, 57(8): 2021-2032.
|
[11] |
BEAUCHARD K, DA SILVA P S P, ROUCHON P. Stabilization for an ensemble of half spin systems[J]. Automatica, 2012, 48(1): 68-76.
|
[12] |
CHEN C L, DONG D Y, LONG R X, et al. Sampling-based learning control of inhomogeneous quantum ensembles[J]. Physical Review A, 2014, 89(2): 023402.
|
[13] |
CHEN C L, DONG D Y, QI B, et al. Quantum ensemble classification: A sampling-based learning control approach[J]. IEEE transactions on neural networks and learning systems, 2017, 28(6): 1345-1359.
|
[14] |
VANDERSYPEN L MK, CHUANG I L. NMR techniques for quantum control and computation[J]. Reviews of Modern Physics, 2005, 76(4): 1037.
|
[15] |
KOBZAR K, LUY B, KHANEJA N, et al. Pattern pulses: Design of arbitrary excitation profiles as a function of pulse amplitude and offset[J]. Journal of Magnetic Resonance, 2005, 173(2): 229-235.
|
[16] |
PAULY J, ROUX P L, NISHIMURA D, et al. Parameter relations for the shinnarle roux selective excitation pulse design algorithm (NMR imaging)[J]. IEEE Transactions on Medical Imaging, 1991, 10(1): 53-65.
|
[17] |
MEYER C H, PAULY J M, MACOVSKIAND A, et al. Simultaneous spatial and spectral selective excitation[J]. Magnetic Resonance in Medicine, 1990, 15(2): 287-304.
|
[18] |
ZHANG T M, WU R B, ZHANG F H, et al. Minimum-time selective control of homonuclear spins[J]. IEEE Transactions on Control Systems Technology, 2015, 23(5): 2018-2025.
|
[19] |
KHANEJA N, BROCKETT R, GLASER SJ. Time optimal control in spin systems[J]. Physical Review A, 2001, 63(3): 032308.
|
[20] |
WERSCHNIK J, GROSS E K U. Quantum optimal control theory[J]. Journal of Physics B: Atomic, Molecular and Optical Physics, 2007, 40(18): R175.
|
[21] |
BOOZER A D. Time-optimal synthesis of su (2) transformations for a spin-1/2 system[J]. Physical Review A, 2012, 85(1): 012317.
|
[22] |
BOSCAIN U, CHITOURN Y. Time-optimal synthesis for left-invariant control systems on so (3)[J]. SIAM Journal on Control and Optimization, 2005, 44(1): 111-139.
|
[23] |
BOSCAIN U, MASON P. Time minimal trajectories for a spin 1/2 particle in a magnetic field[J]. Journal of Mathematical Physics, 2006, 47(6): 062101.
|
[24] |
CARLINI A, HOSOYA A, KOIKE T, et al. Time-optimal unitary operations[J]. Physical Review A, 2007, 75(4): 042308.
|
[25] |
KHANEJA N, REISS T, KEHLET C, et al. Optimal control of coupled spin dynamics: Design of NMR pulse sequences by gradient ascent algorithms. Journal of Magnetic Resonance, 2005, 172(2): 296-305.
|
[26] |
CHEN Q M, WU R B, ZHANG T M, et al. Near-time-optimal control for quantum systems[J]. Physical Review A, 2015, 92(6): 063415.
|
[27] |
YANG F, CONG S, LONG R X, et al. Exploring the transition-probability-control landscape of open quantum systems: Application to a two-level case[J]. Physical Review A, 2013, 88(3): 033420.
|