Optimal Control of Coherent Light Scattering for Binary Decision Problems

Dorian Bouchet; Lukas M. Rachbauer; Stefan Rotter; Allard P. Mosk; Emmanuel Bossy

doi:10.1103/PhysRevLett.127.253902

Optimal Control of Coherent Light Scattering for Binary Decision Problems

Dorian Bouchet^*
, Lukas M. Rachbauer
, Stefan Rotter
, Allard P. Mosk
, Emmanuel Bossy

^*Corresponding author for this work

Vienna University of Technology
Université Grenoble Alpes

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Because of quantum noise fluctuations, the rate of error achievable in decision problems involving several possible configurations of a scattering system is subject to a fundamental limit known as the Helstrom bound. Here, we present a general framework to calculate and minimize this bound using coherent probe fields with tailored spatial distributions. As an example, we experimentally study a target located in between two disordered scattering media. We first show that the optimal field distribution can be directly identified using a general approach based on scattering matrix measurements. We then demonstrate that this optimal light field successfully probes the presence of the target with a number of photons that is reduced by more than 2 orders of magnitude as compared to unoptimized fields.

Original language	English
Article number	253902
Pages (from-to)	1-6
Journal	Physical Review Letters
Volume	127
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.127.253902
Publication status	Published - 17 Dec 2021

Bibliographical note

Funding Information:
The authors thank Irène Wang for insightful discussions, and Philippe Moreau for technical support. This work was supported by the European Research Council (ERC) within the H2020 program (Grant No. 681514-COHERENCE), by the Nederlandse Organisatie voor Wetenschappelijk Onderzoek NWO (Vici 68047618) and by the Austrian Science Fund (FWF) under Project No. P32300 (WAVELAND).

Publisher Copyright:
© 2021 American Physical Society.

Funding

The authors thank Irène Wang for insightful discussions, and Philippe Moreau for technical support. This work was supported by the European Research Council (ERC) within the H2020 program (Grant No. 681514-COHERENCE), by the Nederlandse Organisatie voor Wetenschappelijk Onderzoek NWO (Vici 68047618) and by the Austrian Science Fund (FWF) under Project No. P32300 (WAVELAND).

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title = "Optimal Control of Coherent Light Scattering for Binary Decision Problems",

abstract = "Because of quantum noise fluctuations, the rate of error achievable in decision problems involving several possible configurations of a scattering system is subject to a fundamental limit known as the Helstrom bound. Here, we present a general framework to calculate and minimize this bound using coherent probe fields with tailored spatial distributions. As an example, we experimentally study a target located in between two disordered scattering media. We first show that the optimal field distribution can be directly identified using a general approach based on scattering matrix measurements. We then demonstrate that this optimal light field successfully probes the presence of the target with a number of photons that is reduced by more than 2 orders of magnitude as compared to unoptimized fields. ",

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note = "Funding Information: The authors thank Ir{\`e}ne Wang for insightful discussions, and Philippe Moreau for technical support. This work was supported by the European Research Council (ERC) within the H2020 program (Grant No. 681514-COHERENCE), by the Nederlandse Organisatie voor Wetenschappelijk Onderzoek NWO (Vici 68047618) and by the Austrian Science Fund (FWF) under Project No. P32300 (WAVELAND). Publisher Copyright: {\textcopyright} 2021 American Physical Society. ",

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doi = "10.1103/PhysRevLett.127.253902",

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AU - Rotter, Stefan

AU - Mosk, Allard P.

AU - Bossy, Emmanuel

N1 - Funding Information: The authors thank Irène Wang for insightful discussions, and Philippe Moreau for technical support. This work was supported by the European Research Council (ERC) within the H2020 program (Grant No. 681514-COHERENCE), by the Nederlandse Organisatie voor Wetenschappelijk Onderzoek NWO (Vici 68047618) and by the Austrian Science Fund (FWF) under Project No. P32300 (WAVELAND). Publisher Copyright: © 2021 American Physical Society.

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N2 - Because of quantum noise fluctuations, the rate of error achievable in decision problems involving several possible configurations of a scattering system is subject to a fundamental limit known as the Helstrom bound. Here, we present a general framework to calculate and minimize this bound using coherent probe fields with tailored spatial distributions. As an example, we experimentally study a target located in between two disordered scattering media. We first show that the optimal field distribution can be directly identified using a general approach based on scattering matrix measurements. We then demonstrate that this optimal light field successfully probes the presence of the target with a number of photons that is reduced by more than 2 orders of magnitude as compared to unoptimized fields.

AB - Because of quantum noise fluctuations, the rate of error achievable in decision problems involving several possible configurations of a scattering system is subject to a fundamental limit known as the Helstrom bound. Here, we present a general framework to calculate and minimize this bound using coherent probe fields with tailored spatial distributions. As an example, we experimentally study a target located in between two disordered scattering media. We first show that the optimal field distribution can be directly identified using a general approach based on scattering matrix measurements. We then demonstrate that this optimal light field successfully probes the presence of the target with a number of photons that is reduced by more than 2 orders of magnitude as compared to unoptimized fields.

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ER -

Optimal Control of Coherent Light Scattering for Binary Decision Problems

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