Switching Quantum Dynamics for Fast Stabilization

Abstract

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 class of problems of interest can be recast, from a control--theoretic perspective, into a switched-stabilization problem for linear dynamics. This is attained by a suitable affine transformation of the coherence-vector representation. In particular, we propose and compare stabilizing time-based and state-based switching rules for entangled state preparation, showing that the latter not only ensure faster convergence with respect to non-switching methods, but can designed so that they retain robustness with respect to initialization, as long as the target is a pure state or a subspace.

15 pages, 4 figures

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Cited by in corpus (8)

• Exponential Stability of Subspaces for Quantum Stochastic Master Equations
• Exact stabilization of entangled states in finite time by dissipative quantum circuits
• Dissipative Feedback Switching for Quantum Stabilization
• Purification in Rapid Repeated Interaction Systems
• A proposal of adaptive parameter tuning for robust stabilizing control of $N$--level quantum angular momentum systems
• Absorbing state phase transitions beyond directed percolation in dissipative quantum state preparation
• Stabilization via feedback switching for quantum stochastic dynamics
• Alternating Projections Methods for Discrete-time Stabilization of Quantum States