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Efficient adaptive Bayesian estimation of a slowly fluctuating Overhauser field gradient
by Jacob Benestad, Jan A. Krzywda, Evert van Nieuwenburg, Jeroen Danon
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Jacob Benestad · Jeroen Danon |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2309.15014v3 (pdf) |
| Code repository: | https://github.com/jacobdben/efficient-bayesian-estimation |
| Date accepted: | 2024-06-27 |
| Date submitted: | 2024-06-13 12:57 |
| Submitted by: | Benestad, Jacob |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
Slow fluctuations of Overhauser fields are an important source for decoherence in spin qubits hosted in III-V semiconductor quantum dots. Focusing on the effect of the field gradient on double-dot singlet-triplet qubits, we present two adaptive Bayesian schemes to estimate the magnitude of the gradient by a series of free induction decay experiments. We concentrate on reducing the computational overhead, with a real-time implementation of the schemes in mind. We show how it is possible to achieve a significant improvement of estimation accuracy compared to more traditional estimation methods. We include an analysis of the effects of dephasing and the drift of the gradient itself.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
Thank you for handling our manuscript, and we thank the referees for their helpful comments.
List of changes
- Fixed the integration limits in Equation 7.
As reply to referee 1:
- Added a sentence to elaborate on Eq. (15)
- Fixed the label in Figure 3b
As reply to referee 2:
- Added a sentence on the possibilities provided by controlling the phase of Eq. (4)
- Added three sentences about the choice of non-adaptive sampling.
- Added the reference [55]
Published as SciPost Phys. 17, 014 (2024)