Stabilization of stochastic quantum dynamics via open-and closed-loop control

Francesco Ticozzi, Kazunori Nishio, Claudio Altafini

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


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.

Original languageEnglish
Article number6228517
Pages (from-to)74-85
Number of pages12
JournalIEEE Transactions on Automatic Control
Issue number1
Publication statusPublished - 2013
Externally publishedYes


  • Nonlinear stochastic matrix differential equations
  • quantum control
  • quantum filtering
  • stochastic stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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