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This paper presents a survey on quantum control theory and applications from a control systems perspective.
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Wiseman, H.M.: ‘Quantum theory of continuous feedback,’ Phys. Rev. A
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Zhu, W.S., and Rabitz, H.: ‘A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator’, J. Chem. Phys
1998
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Belavkin, V.P.: ‘Measurement, filtering and control in quantum open dynamical systems’, Rep. Math. Phys
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Doherty, A.C., and Jacobs, K.: ‘Feedback control of quantum systems using continuous state estimation’, Phys. Rev. A
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Giovannetti, V., Tombesi, P., and Vitali, D.: ‘Non-Markovian quantum feedback from homodyne measurements: The effect of a nonzero feedback delay time’, Phys. Rev. A
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Rabitz, H., de Vivie-Riedle, R., Motzkus, M., and Kompa, K.: ‘Whither the future of controlling quantum phenomena?’ Science
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Rice, S.A., and Zhao, M.S.: Optical Control of Molecular Dynamics
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Lloyd, S.: ‘Coherent quantum feedback’, Phys. Rev. A
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Gardiner, C.W., and Zoller, P.: Quantum Noise
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Nielsen, M.A., and Chuang, I.L.: Quantum Computation and Quantum Information,
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Ramakrishna, V., Flores, K.L., Rabitz, H., and Ober, R.J.: ‘Quantum control by decompositions of SU(2),’ Phys. Rev. A
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Doherty, A.C., Habib, S., Jacobs, K., Mabuchi, H., and Tan, S.M.: ‘Quantum feedback control and classical control theory,’ Phys. Rev. A
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Lloyd, S., and Slotine, J.J.E.: ‘Quantum feedback with weak measurements,’ Phys. Rev. A
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Schirmer, S.G., Fu, H., and Solomon, A.I.: ‘Complete controllability of quantum systems’, Phys. Rev. A
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Turinici, G., and Rabitz, H.: ‘Quantum wavefunction controllability’, Chem. Phys
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Rice, S.A.: ‘Interfering for the good of a chemical reaction’, Nature
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Khaneja, N., Brockett, R., and Glaser, S.J.: ‘Time optimal control in spin systems’, Phys. Rev. A , 2001, 63
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Korotkov, A.N.: ‘Selective quantum evolution of a qubit state due to continuous measurement’, Phys. Rev. B
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Doherty, A.C., Jacobs, K., and Jungman, G.: ‘Information, disturbance, and Hamiltonian quantum feedback control,’ Phys. Rev. A
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Gambetta, J., and Wiseman, H.M.: ‘State and dynamical parameter estimation for open quantum systems,’ Phys. Rev. A
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Wang, J., and Wiseman, H.M.: ‘Feedback-stabilization of an arbitrary pure state of a two-level atom,’ Phys, Rev. A
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Wang, J., Wiseman, H.M., and Milburn, G.J.: ‘Non-Markovian homodyne-mediated feedback on a two-level atom: a quantum trajectory treatment’, Chem. Phys
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Thomsen, L.K., Mancini, S., and Wiseman, H.M.: ‘Spin squeezing via quantum feedback,’ Phys. Rev. A
2002
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Ahn, C., Doherty, A.C., and Landahl, A.J.: ‘Continuous quantum error correction via quantum feedback control’, Phys. Rev. A
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2002
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2002
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D’Alessandro, D.: ‘Optimal evaluation of generalized Euler angles with applications to control’, Automatica
2002
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Ferrante, A., Pavon, M., and Raccanelli, G.: ‘Driving the propagator of a spin system: a feedback approach’, Proc. of the 41st IEEE Conf. on Decision and Control
2002
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Vettori, P.: ‘On the convergence of a feedback control strategy for multilevel quantum systems’, Proc. the Fifteenth Int. Symposium MTNS
2002
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Rabitz, H.: ‘Optimal control of quantum systems: Origins of inherent robustness to control field fluctuations,’ Phys. Rev. A
2002
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Mancini, S., and Wiseman, H.M.: ‘Optimal control of entanglement via quantum feedback’, Phys. Rev. A
2007
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Bouten, L., van Handel, R., and James, M.R.: ‘An introduction to quantum filtering’, SIAM J. Control Optim
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Alicki, R., and Lendi, K.: Quantum Dynamical Semigroups and Applications
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Werschnik, J., and Gross, E.K.U.: ‘Quantum optimal control theory’, J. Phys. B: At. Mol. Opt. Phys
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Sugny, D., Kontz, C., and Jauslin, H.R.: ‘Time-optimal control of a two-level dissipative quantum system’, Phys. Rev. A
2007
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Chakrabarti, R., and Rabitz, H.: ‘Quantum control landscape,’ Int. Rev. Phys. Chem
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Brown, E., and Rabitz, H.: ‘Some mathematical and algorithmic challenges in the control of quantum dynamics phenomena,’ J. Math. Chem
2002
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Rabitz, H.: ‘The role of theory in the laboratory control of quantum dynamics phenomena’, Theor. Chem. Acc
2003
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Shapiro, M., and Brumer, P.: Principles of the Quantum Control of Molecular Processes
2003
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Dowling, J.P., and Milburn, G.J.: ‘Quantum technology: the second quantum revolution’, Phil. Trans. R. Soc. Lond. A
2003
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Albertini, F., and D’Alessandro, D.: ‘Notions of controllability for bilinear multilevel quantum systems’, IEEE Trans. Autom. Control
2003
Cited alongside, same era.
Turinici, G., and Rabitz, H.: ‘Wavefunction controllability for finite-dimensional bilinear quantum systems’, J. Phys. A: Math. Gen
2003
Cited alongside, same era.
Altafini, C.: ‘Controllability properties for finite dimensional quantum Markovian master equations’, J. Math. Phys
2003
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2007
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Wu, J.W., Li, C.W., Tarn, T.J. and Zhang, J.: ‘Optimal bang-bang control for SU(1,1) coherent states’, Phys. Rev. A
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2007
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Altafini, C.: ‘Feedback control of spin systems’, Quantum Inform. Process
2007
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2007
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2007
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Wilson, S.D., Carvalho, A.R.R., Hope, J.J., and James, M.R.: ‘Effects of measurement backaction in the stabilization of a Bose-Einstein condensate through feedback’, Phys. Rev. A
2007
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Shaiju, A.J., Petersen, I.R., and James, M.R.: ‘Guaranteed cost LQG control of uncertain linear quantum stochastic systems,’ Proc. of the 2007 American Control Conf
2007
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Jacobs, K., and Lund, A.P.: ‘Feedback control of nonlinear quantum systems: a rule of thumb,’ Phys. Rev. Lett
2007
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Zhang, J., Wu, R.B., Li, C.W., Tarn, T.J., and Wu, J.W.: ‘Asymptotically noise decoupling for Markovian open quantum systems’, Phys. Rev. A , 2007, 75
2007
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Ganesan, N., and Tarn, T.J.: ‘Decoherence control in open quantum systems via classical feedback’, Phys. Rev. A
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Kuang, S., and Cong, S.: ‘Lyapunov control methods of closed quantum systems’, Automatica
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Dong, D., Chen, C., Tarn, T.J., Pechen, A., and Rabitz, H.: ‘Incoherent control of quantum systems with wavefunction controllable subspaces via quantum reinforcement learning’, IEEE Trans. Syst., Man, Cybern., Part B: Cybern
2008
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Dong, D., Zhang, C., Rabitz, H., Pechen, A., and Tarn, T.J.: ‘Incoherent control of locally controllable quantum systems’, J. Chem. Phys
2008
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James, M.R., Nurdin, H.I., and Petersen, I.R.: ‘ H ∞ \text{H}^{\infty} control of linear quantum stochastic systems’, IEEE Trans. Autom. Control , 2008, 53
2008
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Jacobs, K., and Shabani, A.: ‘Quantum feedback control: How to use verification theorems and viscosity solutions to find optimal protocols’, Contemp. Phys
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Dong, D., Chen, C., Li, H., and Tarn, T.J.: ‘Quantum reinforcement learning’, IEEE Trans. Syst., Man, Cybern., Part B: Cybern
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Chen, B.S., Chen, W.H., Hsu, F., and Zhang, W.: ‘Optimal tracking control design of quantum systems via tensor formal power series method,’ Open Autom. Control Syst. J
2008
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Yamamoto, N, Nurdin, H.I., James, M.R., and Petersen, I.R.: ‘Avoiding entanglement sudden death via measurement feedback control in a quantum network,’ Phys. Rev. A
2008
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Hill, C., and Ralph, J.: ‘Weak measurement and control of entanglement generation’, Phys. Rev. A
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Combes, J., Wiseman, H.M., and Jacobs, K.: ‘Rapid measurement of quantum systems using feedback control,’ Phys. Rev. Lett
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Jordan, A.N., and Korotkov, A.N.: ‘Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis’, Phys. Rev. B
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Wiseman, H.M., and Bouten, L.: ‘Optimality of feedback control strategies for qubit purification,’ Quantum Inform. Proc
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Mabuchi, H.: ‘Coherent-feedback quantum control with a dynamic compensator,’ Phys. Rev. A
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Zhang, Z.: ‘Effect of input noise on a magnetometer with quantum feedback,’ SIAM J. Control Optim
2008
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Cui, W., Xi, Z.R., and Pan, Y.: ‘Optimal decoherence control in non-Markovian open dissipative quantum systems’, Phys. Rev. A
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Rabitz, H.: ‘Focus on quantum control’ New J. Phys
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Dong, D., and Petersen, I.R.: ‘Variable structure control of uncontrollable quantum systems’, Proc. 6th IFAC Symposium Robust Control Design , p.16, June 2009, Haifa, Israel
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Bouten, L., van Handel, R., and James, M.R.: ‘A discrete invitation to quantum filtering and feedback control’, SIAM Review
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Bonnabel, S., Mirrahimi, M., and Rouchon, P.: ‘Observer-based Hamiltonian identification for quantum systems’, Automatica
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Qi, B.: ‘On the quantum master equation under feedback control,’ Sci. China Ser. F - Inf. Sci
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Dong, D., and Petersen, I.R.: ‘Sliding mode control of quantum systems’, New J. Phys., 2009, 11
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Burgarth, D., Bose, S., Bruder, C., and Giovannetti, V.: ‘Local controllability of quantum networks’, Phys. Rev. A
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Zhang, J., Liu, Y.X., and Nori, F.: ‘Cooling and squeezing the fluctuations of a nanomechanical beam by indirect quantum feedback control’, Phys. Rev. A
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Yamamoto, N., and Bouten, L.: ‘Quantum risk-sensitive estimation and robustness’, IEEE Trans. Autom. Control
2009
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Nurdin, H.I., James, M.R., and Petersen, I.R.: ‘Coherent quantum LQG control’, Automatica
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Sayed Hassen, S.Z., Heurs, M., Huntington, E.H., Petersen, I.R., and James, M.R.: ‘Frequency locking of an optical cavity using linear-quadratic Gaussian integral control,’ J. Phys. B: At. Mol. Opt. Phys
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Nurdin, H.I., James, M.R., and Doherty, A.C.: ‘Network synthesis of linear dynamical quantum stochastic systems,’ SIAM J. Control Optim
2009
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Gough, J. and James, M.R.: ‘The series product and its application to quantum feedforward and feedback networks,’ IEEE Trans. Autom. Control
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Maalouf, A.I., and Petersen, I.R.: ‘Coherent H ∞ H^{\infty} control for a class of linear complex quantum systems,’ Proc. of the 2009 American Control Conf
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Cui, W., Xi, Z.R., and Pan, Y.: ‘Non-Markovian entanglement dynamic between two oscillators in the same environment’, J. Phys. A: Math. Theor
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Dong, D., and Petersen, I.R.: ‘Controllability of quantum systems with switching control’, Int. J. Control , 2010, doi:10.1080/00207179.2010.538437
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Dong, D., Lam, J., and Petersen, I.R.: ‘Robust incoherent control of of qubit systems via switching and optimisation’, Int. J. Control , 2010, 83
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Wiseman, H.M., and Milburn, G.J.: Quantum Measurement and Control
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Wang, X., and Schirmer, S.G.: ‘Analysis of Lyapunov method for control of quantum states’, IEEE Trans. Autom. Control , 2010, 55
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Qi, B., and Guo, L.: ‘Is measurement-based feedback still better for quantum control systems?’ Syst. Control Lett
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Zhang, J., Wu, R.B., Li, C.W. and Tarn, T.J.: ‘Protecting coherence and entanglement by quantum feedback controls,’ IEEE Trans. Autom. Control
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Altafini, C.: ‘Feedback stabilization of isospectral control systems on complex flag manifolds: application to quantum ensembles’, IEEE Trans. Autom. Control , 2007, 52
2028
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Altafini, C.: ‘Controllability of quantum mechanical systems by root space decomposition of su( N N )’, J. Math. Phys
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Ticozzi, F., and Viola, L.: ‘Quantum Markovian subsystems: invariance, attractivity, and control,’ IEEE Trans. Autom. Control
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