Quantum hypothesis testing via robust quantum control

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Article number113026
Journal / PublicationNew Journal of Physics
Issue number11
Online published17 Nov 2023
Publication statusPublished - Nov 2023



Quantum hypothesis testing plays a pivotal role in quantum technologies, making decisions or drawing conclusions about quantum systems based on observed data. Recently, quantum control techniques have been successfully applied to quantum hypothesis testing, enabling the reduction of error probabilities in the task of distinguishing magnetic fields in presence of environmental noise. In real-world physical systems, such control is prone to various channels of inaccuracies. Therefore improving the robustness of quantum control in the context of quantum hypothesis testing is crucial. In this work, we utilize optimal control methods to compare scenarios with and without accounting for the effects of signal frequency inaccuracies. For parallel dephasing and spontaneous emission, the optimal control inherently demonstrates a certain level of robustness, while in the case of transverse dephasing with an imperfect signal, it may result in a higher error probability compared to the uncontrolled scheme. To overcome these limitations, we introduce a robust control approach optimized for a range of signal noise, demonstrating superior robustness beyond the predefined tolerance window. On average, both the optimal control and robust control show improvements over the uncontrolled schemes for various dephasing or decay rates, with the robust control yielding the lowest error probability. © 2023 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.

Research Area(s)

  • quantum hypothesis testing, quantum control, robust control

Citation Format(s)

Quantum hypothesis testing via robust quantum control. / Xu, Han; Wang, Benran; Yuan, Haidong et al.
In: New Journal of Physics, Vol. 25, No. 11, 113026, 11.2023.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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