Intensity-Based Axial Localization at the Quantum Limit

Řeháček, J.; Paúr, Martin; Stoklasa, Bohumil; Koutný, Dominik; Hradil, Z.; Sánchez-Soto, Luis L.

doi:10.1103/physrevlett.123.193601

Cited by 17 publications

(10 citation statements)

References 38 publications

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“…Hence, full potential of high-order vortex beams for axial metrology can be exploited with direct detection techniques. This generalizes the results obtained for Gaussian beams [32].…”

Section: Intensity Detectionsupporting

confidence: 90%

Axial superlocalization with vortex beams

Koutný¹,

Hradil²,

Řeháček

et al. 2021

Preprint

Self Cite

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Improving axial resolution is of paramount importance for three-dimensional optical imaging systems. Here, we investigate the ultimate precision in axial localization using vortex beams. For Laguerre-Gauss beams, this limit can be achieved with just an intensity scan. The same is not true for superpositions of Laguerre-Gauss beams, in particular for those with intensity profiles that rotate on defocusing. Microscopy methods based on rotating vortex beams may thus benefit from replacing traditional intensity sensors with advanced modesorting techniques.

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“…Hence, full potential of high-order vortex beams for axial metrology can be exploited with direct detection techniques. This generalizes the results obtained for Gaussian beams [32].…”

Section: Intensity Detectionsupporting

confidence: 90%

Axial superlocalization with vortex beams

Koutný¹,

Hradil²,

Řeháček

et al. 2021

Preprint

Self Cite

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show abstract

“…The advantage of this approach lies in the ability to quantify the performance of the imaging setup based on rigorous statistical quantities. Inspired by the quantum theory of detection and estimation, quantum Fisher information, a quantity connected with the ultimate limits allowed by nature, is computed for simple 3D imaging scenarios like localization and resolution of two points in the object 3D space [30,[56][57][58]. For example, one might be interested in measuring the separation of two point-like sources and seeking the optimal detection scheme, extracting the maximum amount of information about this parameter.…”

Section: Quantum Tomography and Quantum Fisher Informationmentioning

confidence: 99%

“…This problem is addressed by an interdisciplinary approach, involving the development of ultrafast single-photon sensor systems, based on SPAD arrays [17][18][19][20][21][22], the optimization of circuit electronics to collect and manage the high number of frames (e.g., by GPU) [23,24], the development of dedicated algorithms (compressive sensing, machine learning, quantum tomography) to achieve the desired SNR with a minimal number of acquisitions [25][26][27][28]. Finally, the performances of QPI will be further enhanced by a novel approach to imaging based on quantum Fisher information [29,30]. Treating the physical model of plenoptic imaging in the view of quantum information theory brings new possibilities of improving the setup towards super-resolution capability in the object 3D space.…”

Section: Introductionmentioning

confidence: 99%

Towards Quantum 3D Imaging Devices

et al. 2021

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We review the advancement of the research toward the design and implementation of quantum plenoptic cameras, radically novel 3D imaging devices that exploit both momentum–position entanglement and photon–number correlations to provide the typical refocusing and ultra-fast, scanning-free, 3D imaging capability of plenoptic devices, along with dramatically enhanced performances, unattainable in standard plenoptic cameras: diffraction-limited resolution, large depth of focus, and ultra-low noise. To further increase the volumetric resolution beyond the Rayleigh diffraction limit, and achieve the quantum limit, we are also developing dedicated protocols based on quantum Fisher information. However, for the quantum advantages of the proposed devices to be effective and appealing to end-users, two main challenges need to be tackled. First, due to the large number of frames required for correlation measurements to provide an acceptable signal-to-noise ratio, quantum plenoptic imaging (QPI) would require, if implemented with commercially available high-resolution cameras, acquisition times ranging from tens of seconds to a few minutes. Second, the elaboration of this large amount of data, in order to retrieve 3D images or refocusing 2D images, requires high-performance and time-consuming computation. To address these challenges, we are developing high-resolution single-photon avalanche photodiode (SPAD) arrays and high-performance low-level programming of ultra-fast electronics, combined with compressive sensing and quantum tomography algorithms, with the aim to reduce both the acquisition and the elaboration time by two orders of magnitude. Routes toward exploitation of the QPI devices will also be discussed.

show abstract

“…The dvantage of this approach lies in the ability to quantify the performance of the imaging setup based on rigorous statistical quantities. Inspired by the quantum theory of detection and estimation, quantum Fisher information, quantity connected with the ultimate limits allowed by nature, is computed for simple 3D imaging scenarios like localization and resolution of two points in the object 3D space [20,43,45,46]. For example, one might be interested in measuring the separation of two point-like sources and seek the optimal detection scheme extracting the maximum amount of information about this parameter.…”

Section: Quantum Tomography and Quantum Fisher Informationmentioning

confidence: 99%

“…Finally, the performances of QPI will be further enhanced by a novel approach to imaging based on quantum Fisher information [19,20]. Treating the physical model of plenoptic imaging in the view of quantum information theory brings new possibilities of improving the setup towards superresolution capability in the object 3D space.…”

Section: Introductionmentioning

confidence: 99%

Towards quantum 3D imaging devices: the Qu3D project

Abbattista¹,

Amoruso²,

Burri³

et al. 2021

Preprint

View full text Add to dashboard Cite

We review the advancement of the research toward the design and implementation of quantum plenoptic cameras, radically novel 3D imaging devices that exploit both momentumposition entanglement and photon-number correlations to provide the typical refocusing and ultra-fast, scanning-free, 3D imaging capability of plenoptic devices, along with dramatically enhanced performances, unattainable in standard plenoptic cameras: diffraction-limited resolution, large depth of focus, and ultra-low noise. To further increase the volumetric resolution beyond the Rayleigh diffraction limit, and achieve the quantum limit, we are also developing dedicated protocols based on quantum Fisher information. However, for the quantum advantages of the proposed devices to be effective and appealing to end-users, two main challenges need to be tackled. First, due to the large number of frames required for correlation measurements to provide an acceptable SNR, quantum plenoptic imaging would require, if implemented with commercially available high-resolution cameras, acquisition times ranging from tens of seconds to a few minutes. Second, the elaboration of this large amount of data, in order to retrieve 3D images or refocusing 2D images, requires highperformance and time-consuming computation. To address these challenges, we are developing high-resolution SPAD arrays and high-performance low-level programming of ultra-fast electronics, combined with compressive sensing and quantum tomography algorithms, with the aim to reduce both the acquisition and the elaboration time by two orders of magnitude. Routes toward exploitation of the QPI devices will also be discussed.

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Intensity-Based Axial Localization at the Quantum Limit

Cited by 17 publications

References 38 publications

Axial superlocalization with vortex beams

Axial superlocalization with vortex beams

Towards Quantum 3D Imaging Devices

Towards quantum 3D imaging devices: the Qu3D project

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