Hamiltonian identification through enhanced observability utilizing quantum control

Zaki Leghtas, Gabriel Turinici, Herschel Rabitz, Pierre Rouchon

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


This note considers Hamiltonian identification for a controllable quantum system with nondegenerate transitions and a known initial state. We assume to have at our disposal a single scalar control input and the population measure of only one state at an (arbitrarily large) final time T. We prove that the quantum dipole moment matrix is locally observable in the following sense: for any two close but distinct dipole moment matrices, we construct discriminating controls giving two different measurements. This result suggests that what may appear at first to be very restrictive measurements are actually rich for identification, when combined with well designed discriminating controls, to uniquely identify the complete dipole moment of such systems.

Original languageEnglish (US)
Article number6166432
Pages (from-to)2679-2683
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number10
StatePublished - 2012

All Science Journal Classification (ASJC) codes

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


  • Hamiltonian identification
  • observability proof
  • quantum control


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