• Corpus ID: 252519444

Switching stabilization of quantum stochastic master equations

@inproceedings{Liang2022SwitchingSO,
  title={Switching stabilization of quantum stochastic master equations},
  author={Weichao Liang and Tommaso Grigoletto and Francesco Ticozzi},
  year={2022}
}
The problem of stabilizing pure states and subspaces for continuously monitored quantum systems is central in quantum control, and is addressed here using switching of controlled dynamics. This allows for fast, flexible control design methods which naturally include dissipative control actions. Different control laws are proposed, based either on the average state, or on the measurement record, and with or without requiring invariance of the target for all the switching dynamics. Global and… 
[PDF] Semantic Reader

Figures and Tables from this paper

References

SHOWING 1-10 OF 34 REFERENCES

Stabilization Via Feedback Switching for Quantum Stochastic Dynamics

It is proved that the proposed closed-loop strategy makes the desired target globally asymptotically stable both in mean and almost surely, and it is shown it compares favorably against a time-based and a state-based switching control law.

Switching quantum dynamics for fast stabilization

Control strategies for dissipative preparation of target quantum states, both pure and mixed, and subspaces are obtained by switching between a set of available semigroup generators. We show that the…

Stabilization of Stochastic Quantum Dynamics via Open- and Closed-Loop Control

Whenever suitable dissipative effects are induced either by the unmonitored environment, or by non-Hermitian measurements, there is no need for feedback, as open-loop time-invariant control is sufficient to achieve stabilization of the target set in probability.

Stabilizing Feedback Controls for Quantum Systems

The properties of controlled quantum filtering equations as classical stochastic differential equations are studied and methods for global feedback stabilization of a class of quantum filters around a particular eigenstate of the measurement operator are developed.

Quantum Markovian Subsystems: Invariance, Attractivity, and Control

The stronger concept of an attractive quantum subsystem is introduced, and sufficient existence conditions are identified based on Lyapunov's stability techniques, and explicit results for the synthesis of stabilizing semigroups and noiseless subspaces in finite-dimensional Markovian systems are obtained.

Analysis and synthesis of attractive quantum Markovian dynamics

Feedback control of quantum state reduction

The use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems are explored and the possibility of stabilizing one outcome of a quantum measurement with unit probability is demonstrated.

On Exponential Stabilization of N-Level Quantum Angular Momentum Systems

This paper considers the feedback stabilization problem for N-level quantum angular momentum systems undergoing continuous-time measurements using stochastic and geometric control tools and designs a class of feedback control laws satisfying the above-mentioned conditions.

Exponential Stability of Subspaces for Quantum Stochastic Master Equations

We study the stability of quantum pure states and, more generally, subspaces for stochastic dynamics that describe continuously monitored systems. We show that the target subspace is almost surely…

Robust Feedback Stabilization of N-Level Quantum Spin Systems

This paper provides sufficient conditions on the feedback controller and on the estimated parameters that guarantee exponential stabilization of the coupled stochastic system towards an eigenstate of the measurement operator and estimates the corresponding rate of convergence.