The gradient flow for control of closed quantum systems

Ruixing Long, Gregory Riviello, Herschel Albert Rabitz

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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
Volume58
Issue number10
DOIs
StatePublished - Oct 2 2013

All Science Journal Classification (ASJC) codes

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

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