The gradient flow for control of closed quantum systems

Ruixing Long, Gregory Riviello, Herschel Rabitz

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


The gradient flow is commonly used to numerically solve the problem of maximizing quantum observables for finite dimensional closed quantum systems. In this note, we analyze the asymptotic behavior of the gradient flow. We show that, under a regularity assumption on the controls, the flow almost always converges to a solution of the maximization problem.

Original languageEnglish (US)
Article number6493400
Pages (from-to)2665-2669
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number10
StatePublished - 2013

All Science Journal Classification (ASJC) codes

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


  • Liouville-von Neumann equation
  • quantum control


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