Document Type
Article
Publication Date
3-11-2015
Publication Title
Physical Review A - Atomic, Molecular, and Optical Physics
Department
Department of Physics and Astronomy
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 nonswitching methods, but can be designed so that they retain robustness with respect to initialization, as long as the target is a pure state or a subspace.
DOI
10.1103/PhysRevA.91.062314
Dartmouth Digital Commons Citation
Scaramuzza, Pierre and Ticozzi, Francesco, "Switching Quantum Dynamics for Fast Stabilization" (2015). Dartmouth Scholarship. 3305.
https://digitalcommons.dartmouth.edu/facoa/3305