MENU

You are here

Stabilization of Stochastic Quantum Dynamics via Open and Closed Loop Control

TitleStabilization of Stochastic Quantum Dynamics via Open and Closed Loop Control
Publication TypeJournal Article
Year of Publication2013
AuthorsAltafini, C, Ticozzi, F, Nishio, K
JournalIEEE Transactions on Automatic Control. Volume 58, Issue 1, 2013, Article number6228517, Pages 74-85
Abstract

In this paper, we investigate parametrization-free solutions of the problem of quantum pure state preparation and subspace stabilization by means of Hamiltonian control, continuous measurement, and quantum feedback, in the presence of a Markovian environment. In particular, we show that 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. Constructive necessary and sufficient conditions on the form of the control Hamiltonian can be provided in this case. When time-invariant control is not sufficient, state stabilization can be attained by the addition of filtering-based feedback control

URLhttp://hdl.handle.net/1963/6503
DOI10.1109/TAC.2012.2206713

Sign in