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Original Articles

Further results on sampled-data design for robust control of a single qubit

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Pages 2056-2064 | Received 21 May 2013, Accepted 25 Feb 2014, Published online: 25 Mar 2014

References

  • Alicki, R., & Lendi, K. (2007). Quantum dynamical semigroups and applications. Berlin: Springer.
  • Breuer, H.-P., & Petruccione, F. (2002). The theory of open quantum systems. Oxford: Oxford University Press.
  • Chen, T., & Francis, B. (1995). Optimal sampled-data control systems. London: Springer-Verlag.
  • Dong, D., & Petersen, I.R. (2009). Sliding mode control of quantum systems. New Journal of Physics, 11, 105033.
  • Dong, D., & Petersen, I.R. (2010). Quantum control theory and applications: A survey. IET Control Theory and Applications, 4, 2651–2671.
  • Dong, D., & Petersen, I.R. (2012a). Notes on sliding mode control of two-level quantum systems. Automatica, 48, 3089–3097.
  • Dong, D., & Petersen, I.R. (2012b). Sliding mode control of two-level quantum systems. Automatica, 48, 725–735.
  • Dong, D., Petersen, I.R., & Rabitz, H. (2013). Sampled-data design for robust control of a single qubit. IEEE Transactions on Automatic Control, 58, 2654–2659.
  • Kirk, D.E. (2004). Optimal control theory: An introduction. Mineola: Dover Publications.
  • Li, J.S., & Khaneja, N. (2009). Ensemble control of Bloch equations. IEEE Transactions on Automatic Control, 54, 528–536.
  • Lidar, D.A., & Schneider, S. (2005). Stabilizing qubit coherence via tracking-control. Quantum Information and Computation, 5, 350–363.
  • Lindblad, G. (1976). On the generators of quantum dynamical semigroups. Communications in Mathematical Physics, 48, 119–130.
  • James, M.R. (2004). Risk-sensitive optimal control of quantum systems. Physical Review A, 69, 032108.
  • James, M.R., Nurdin, H.I., & Petersen, I.R. (2008). H∞ control of linear quantum stochastic systems. IEEE Transactions on Automatic Control, 53, 1787–1803.
  • Nielsen, M.A., & Chuang, I.L. (2010). Quantum computation and quantum information. Cambridge: Cambridge University Press.
  • Pravia, M.A., Boulant, N., Emerson, J., Fortunato, E.M., Havel, T.F., Cory, D.G., & Farid, A. (2003). Robust control of quantum information. Journal of Chemical Physics, 119, 9993–10001.
  • Qi, B. (2013). A two-step strategy for stabilizing control of quantum systems with uncertainties. Automatica, 49, 834–839.
  • Qi, B., Hou, Z.B., Li, L., Dong, D., Xiang, G.Y., & Guo, G.C. (2013). Quantum state tomography via linear regression estimation. Scientific Reports, 3, 3496.
  • Rabitz, H., de Vivie-Riedle, R., Motzkus, M., & Kompa, K. (2000). Whither the future of controlling quantum phenomena?Science, 288, 824–828.
  • Viola, L., & Knill, E. (2003). Robust dynamical decoupling of quantum systems with bounded controls. Physical Review Letters, 90, 037901.
  • Wang, Y.L., Chen, C.L., & Dong, D. (2013). Notes on sampled-data design for robust control of a single qubit. Proceedings of 3rd IFAC International Conference on Intelligent Control and Automation Science (pp. 348–353). September 2–4, 2013, Chengdu, China.
  • Wiseman, H.M., & Milburn, G.J. (2010). Quantum measurement and control. Cambridge: Cambridge University Press.
  • Yamamoto, N., & Bouten, L. (2009). Quantum risk-sensitive estimation and robustness. IEEE Transactions on Automatic Control, 54, 92–107.
  • Zhang, J., Wu, R.B., Li, C.W., & Tarn, T.J. (2010). Protecting coherence and entanglement by quantum feedback controls. IEEE Transactions on Automatic Control, 55, 619–633.

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