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Optimal Control Strategies for Parameter Estimation of Quantum Systems

by Quentin Ansel, Etienne Dionis, Dominique Sugny

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Submission summary

Authors (as registered SciPost users): Quentin Ansel
Submission information
Preprint Link: scipost_202306_00025v4  (pdf)
Date accepted: 2023-12-12
Date submitted: 2023-11-23 21:40
Submitted by: Ansel, Quentin
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
  • Quantum Physics
Approaches: Theoretical, Computational


Optimal control theory is an effective tool to improve parameter estimation of quantum systems. Different methods can be employed for the design of the control protocol. They can be based either on Quantum Fischer Information (QFI) maximization or selective control processes. We describe the similarities, differences, and advantages of these two approaches. A detailed comparative study is presented for estimating the parameters of a spin$-\tfrac{1}{2}$ system coupled to a bosonic bath. We show that the control mechanisms are generally equivalent, except when the decoherence is not negligible or when the experimental setup is not adapted to the QFI. In this latter case, the precision achieved with selective controls can be several orders of magnitude better than that given by the QFI.

Author comments upon resubmission

Dear Editor,
Please find herewith a third revised version of the manuscript entitled ``Optimal control strategies for parameter estimation of quantum systems" that we would like to resubmit for publication in SciPost Physics Core

The first Referee has accepted the publication of this manuscript. Additional questions are raised by the
second Referee. We changed the text to meet the Referee's request and made it clearer that $\mathcal F_{df}$ and
$\mathcal F$ do not always coincide.

We hope that these comments and clarifications will render this article suitable for publication in SciPost Physics Core. We
have also corrected some misprints that we have detected in the text.

Yours sincerely,

the authors

List of changes

- Modification of the footnote p.9 (see reply to the referee for details)
- Insertion of a new sentence below Eq. (17): "This result shall be manipulated with caution because $\Mc F_{fd}$ gives us only an approximation of $\Mc F$. However, in some cases, the optimization of the two quantities can lead to the same result."

Published as SciPost Phys. 16, 013 (2024)

Reports on this Submission

Anonymous Report 1 on 2023-11-30 (Invited Report)


I recommend the publication.

  • validity: high
  • significance: good
  • originality: good
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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