Stabilizing feedback controls for quantum systems

Mazyar Mirrahimi, Ramon Van Handel

Research output: Contribution to journalArticle

147 Scopus citations

Abstract

No quantum measurement can give full information on the state of a quantum system; hence any quantum feedback control problem is necessarily one with partial observations and can generally be converted into a completely observed control problem for an appropriate quantum filter as in classical stochastic control theory. Here we study the properties of controlled quantum filtering equations as classical stochastic differential equations. We then develop methods, using a combination of geometric control and classical probabilistic techniques, for global feedback stabilization of a class of quantum filters around a particular eigenstate of the measurement operator.

Original languageEnglish (US)
Pages (from-to)445-467
Number of pages23
JournalSIAM Journal on Control and Optimization
Volume46
Issue number2
DOIs
StatePublished - 2007

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Applied Mathematics

Keywords

  • Quantum feedback control
  • Quantum filtering equations
  • Stochastic stabilization

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