Analysis and synthesis of attractive quantum Markovian dynamics

Details Analysis and synthesis of attractive quantum Markovian dynamics Analysis and synthesis of attractive quantum Markovian dynamics

2008-09-03

arxiv.org/abs/0809.0613v1

Automatica 45: 2002-2009 , 2009

Physics

Quantum Physics

11 pages, no figures

Scientific paper

We propose a general framework for investigating a large class of stabilization problems in Markovian quantum systems. Building on the notions of invariant and attractive quantum subsystem, we characterize attractive subspaces by exploring the structure of the invariant sets for the dynamics. Our general analysis results are exploited to assess the ability of open-loop Hamiltonian and output-feedback control strategies to synthesize Markovian generators which stabilize a target subsystem, subspace, or pure-state. In particular, we provide an algebraic characterization of the manifold of stabilizable pure states in arbitrary finite-dimensional Markovian systems, that leads to a constructive strategy for designing the relevant controllers. Implications for stabilization of entangled pure states are addressed by example.

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