ANR Q-COAST
Estimation and control of open quantum systems
Quantum control attempts to apply and extend the principles already used for classical control systems to the quantum domain. We hope to establish a control theory specifically dedicated to the regulation of quantum systems.
This proposal addresses some key issues related to the control of open quantum systems by applying quantum feedback control. Open quantum systems are quantum systems interacting with an environment. This interaction disrupts the states of the system and results in a loss of information from the system to the environment. However, by applying quantum feedback control, the system can “fight” against this loss of information. The main obstacle is that the standard strategies of classical control are not immediately applicable to quantum systems. Although the theory has evolved a lot, there are still many unanswered questions regarding optimality, robustness, and best design methods for dealing with generic quantum models that can be implemented in concrete experiments with less difficulty.
The first objective of Q-COAST is to develop more efficient and robust strategies for quantum feedback design applied to open quantum systems. Second, we examine the situation where the inputs are in non-classical states, the case where the generalization from the classical case to the quantum case becomes more difficult. These states are of crucial importance for the processing of evolutionary quantum information. Our third objective is to go beyond existing tools to design estimators and controllers. This will be achieved by introducing new avenues through the interplay between the fields of quantum statistical mechanics, quantum information geometry, quantum filtering and quantum feedback control. The final objective is to develop numerical simulations of quantum components and to implement the proposed strategies in real experiments. In order to achieve these experimental implementations, the project will involve collaboration with the leading experimental groups who have successfully applied the theoretical principles of feedback control to current quantum systems.
Members of the project
Permanent researchers
Nina H. Amini (coordinator): CNRS Researcher, L2S, CentraleSupelec
Akira Furusawa: Professor, University of Tokyo
John Gough: Professor, Aberystwyth University
Madalin Guta: Associate Professor, university of Nottingham
Hideo Mabuchi: Professor, Stanford University
Paolo Mason: CNRS Researcher, L2S, CentraleSupelec
Clement Pellegrini: Maitre de Conference, Universite Paul Sabatier
Nikolas Tezak: Quantum Engineer, OpenAI
Rosa Tualle-Brouri: Professor, Institut d'Optique
Guofeng Zhang: Associate Professor, Hong Kong Polytechnic University
PhD student(s)
Postdoc(s)
Former PhD student(s)
Weichao Liang (PhD in October 2019, actual position: postdoctoral researcher at University of Padua)
Job opportunities
Internship positions are available within the thematics of the project. For more information, please contact Nina H. Amini
Publications
International peer-reviewed journals
N. H. Amini, M. Bompais, and C. Pellegrini, On asymptotic stability of quantum trajectories and their Cesaro mean, Journal of Physics A: Mathematical and Theoretical, 2021. Link: https://hal.archives-ouvertes.fr/hal-03308505
W. Liang, N. H. Amini, and P. Mason, Feedback exponential stabilization of GHZ states of multi-qubit systems, IEEE Transactions on Automatic Control, 2021. Link: https://hal.archives-ouvertes.fr/hal-03015479
W. Liang, N. H. Amini, and P. Mason, Robust feedback stabilization of N-level quantum spin systems, Siam Journal on Control and Optimization, 59(1), 669–692, 2021. Link: https://hal.inria.fr/hal-02943455
J. E. Gough, T. S. Ratiu, and O. G. Smolyanov, Wigner measures and coherent quantum control, Proceedings of the Steklov Institute of Mathematics, 313(1), 52--59, Springer, 2021.
International peer-reviewed conference papers
M. Bompais, N. H. Amini, and C. Pellegrini, Parameter estimation for quantum trajectories: convergence result, To appear in 61th IEEE Conference on Decision and Control (CDC)2022. Link: https://arxiv.org/pdf/2204.00343.pdf
H. Nurdin, J. E. Gough, From the Heisenberg to the Schrödinger Picture: Quantum Stochastic Processes and Process Tensors, To appear in 60th IEEE Conference on Decision and Control (CDC), 2021.
W. Liang, N. H. Amini, and P. Mason,On estimation and feedback control of spin-1/2 systems with unknown initial states, World Congress of the International Federation of Automatic Control (IFAC), 2020. Link: https://hal.archives-ouvertes.fr/hal-03015497
W. Liang, N. H. Amini, and P. Mason,On the robustness of stabilizing feedbacks for quantum spin-1/2 systems, 59th IEEE Conference on Decision and Control (CDC), 2020. Link: https://hal.archives-ouvertes.fr/hal-03015492
Hendra I. Nurdin, Nina Amini, Jiayin Chen, Data-driven system identification of linear quantum systems coupled to time-varying coherent inputs, 59th IEEE Conference on Decision and Control (CDC), 2020. Link: https://hal.archives-ouvertes.fr/hal-03059873