Quantum State Feedback Control Based on the on-line State Estimation

In this paper the state of Markovian open quantum system is estimated on-line based on the continuous weak measurement and compression sensing theory, and a quantum Lyapunov feedback control law is designed to transfer the state from the initial state to the desired target state based on the state estimated on-line. Numerical simulation experiments are implemented under MATLAB environment. The experimental results show the effectiveness of the on-line estimated state-based feedback control method proposed

[1]  Wei Cui,et al.  Controlled population transfer for quantum computing in non-Markovian noise environment , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[2]  J. Clausen,et al.  Optimized control of quantum state transfer from noisy to quiet qubits , 2011 .

[3]  Sen Kuang,et al.  Lyapunov control methods of closed quantum systems , 2008, Autom..

[4]  Sen Kuang,et al.  Optimal Noise Suppression of Phase Damping Quantum Systems via Weak Measurement , 2019, J. Syst. Sci. Complex..

[5]  Qing Ling,et al.  An Efficient and Fast Quantum State Estimator With Sparse Disturbance , 2019, IEEE Transactions on Cybernetics.

[6]  Shuang Cong,et al.  Characteristics Analysis and State Transfer for non-Markovian Open Quantum Systems , 2013 .

[7]  K. E. CAHnL.  Density Operators and Quasiprobability Distributions * , 2011 .

[8]  Shuang Cong,et al.  Preparation of Hadamard Gate for Open Quantum Systems by the Lyapunov Control Method , 2018, IEEE/CAA Journal of Automatica Sinica.

[9]  Giacomo Mauro D'Ariano,et al.  2 Quantum Tomographic Methods , 2004 .

[10]  David Gross,et al.  Recovering Low-Rank Matrices From Few Coefficients in Any Basis , 2009, IEEE Transactions on Information Theory.

[11]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[12]  H. M. Wiseman,et al.  State and dynamical parameter estimation for open quantum systems , 2001 .

[13]  Sen Kuang,et al.  Orbit consensus of quantum networks based on interaction design , 2018, J. Frankl. Inst..