Feedback control of quantum state reduction

Ramon van Handel, John K. Stockton, Hideo Mabuchi

Research output: Contribution to journalArticlepeer-review

232 Scopus citations


Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering problem and a state feedback control problem for the filter. We explore the use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems and demonstrate the possibility of stabilizing one outcome of a quantum measurement with unit probability.

Original languageEnglish (US)
Pages (from-to)768-780
Number of pages13
JournalIEEE Transactions on Automatic Control
Issue number6
StatePublished - Jun 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


  • Lyapunov functions
  • Quantum filtering
  • Quantum mechanics
  • Quantum probability
  • Stochastic nonlinear control


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