Control of quantum systems despite feedback delay

Kenji Kashima, Naoki Yamamoto

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this technical note we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems including quantum spin systems. We utilize a semi-algebraic problem approach to incorporate the structure of density matrices. To show the effectiveness of the result, we derive a globally stabilizing control law for a quantum spin-1/2 systems in the face of feedback delays.

Original languageEnglish
Pages (from-to)876-881
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume54
Issue number4
DOIs
Publication statusPublished - 2009

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Stochastic systems
Stability criteria
Feedback control
Feedback

Keywords

  • Delay systems
  • Filtering
  • Quantum control
  • Spin systems
  • Sum of squares

ASJC Scopus subject areas

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

Cite this

Control of quantum systems despite feedback delay. / Kashima, Kenji; Yamamoto, Naoki.

In: IEEE Transactions on Automatic Control, Vol. 54, No. 4, 2009, p. 876-881.

Research output: Contribution to journalArticle

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