Stabilizing Quantum States by Constructive Design of Open Quantum Dynamics

Francesco Ticozzi, Sophie G. Schirmer, Xiaoting Wang · IEEE Transactions on Automatic Control · 2010

Based on recent work on the asymptotic behavior of controlled quantum Markovian dynamics, we show that any generic quantum state can be stabilized by devising constructively a simple Lindblad-GKS generator that can achieve global asymptotic stability at the desired state. The applicability of such result is demonstrated by designing a direct feedback strategy that achieves global stabilization of a qubit state encoded in a noise-protected subspace.

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