Fault-tolerant and finite-error localization for point emitters within the diffraction limit

Tang, Zong Sheng; Durak, Kadir; Ling, Alexander

doi:10.1364/oe.24.022004

Cited by 101 publications

(65 citation statements)

References 22 publications

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“…[16] that approaches the QCR bound for sub-Rayleigh separations. Recent experimental work [17][18][19][20] inspired by the above proposals has substantiated the surprising findings of the above papers.…”

Section: Introductionsupporting

confidence: 54%

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Quantum limit for two-dimensional resolution of two incoherent optical point sources

2017

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We obtain the multiple-parameter quantum Cramér-Rao bound for estimating the transverse Cartesian components of the centroid and separation of two incoherent optical point sources using an imaging system with finite spatial bandwidth. Under quite general and realistic assumptions on the point-spread function of the imaging system, and for weak source strengths, we show that the Cramér-Rao bounds for the x and y components of the separation are independent of the values of those components, which may be well below the conventional Rayleigh resolution limit. We also propose two linear optics-based measurement methods that approach the quantum bound for the estimation of the Cartesian components of the separation once the centroid has been located. One of the methods is an interferometric scheme that approaches the quantum bound for sub-Rayleigh separations. The other method using fiber coupling can in principle attain the bound regardless of the distance between the two sources.

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Section: Introductionsupporting

confidence: 54%

“…[39,40] in which the general properties of the device were studied and ref. [17] for an implementation in the context of two-source resolution), which was required in the scheme of ref. [16] Our analysis here can be extended in various directions.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Quantum limit for two-dimensional resolution of two incoherent optical point sources

2017

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“…SPLICE does not correspond exactly, however, to projecting in the Hermite-Gauss basis. The scheme proposed in [150] relies on image inversion interferometry, that is a Mach-Zender interferometric scheme in which image inversion is performed in one of the two arms. The two displaced sources with Gaussian PSFs are sent through the interferometer, and a delay is added on one of the arms to fine-tune the interference.…”

Section: Multiparameter Estimation In Separation Measurementsmentioning

confidence: 99%

A perspective on multiparameter quantum metrology: From theoretical tools to applications in quantum imaging

et al. 2020

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The interest in a system often resides in the interplay among different parameters governing its evolution. It is thus often required to access many of them at once for a complete description. Assessing how quantum enhancement in such multiparameter estimation can be achieved depends on understanding the many subtleties that come into play: establishing solid foundations is key to delivering future technology for this task. In this article we discuss the state of the art of quantum multiparameter estimation, with a particular emphasis on its theoretical tools, on application to imaging problems, and on the possible avenues towards the next developments.

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“…Recent research, initiated by our group [1][2][3][4][5][6][7], has shown that far-field linear optical methods can significantly improve the resolution of two equally bright incoherent optical point sources with sub-Rayleigh separations [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], overcoming previously established statistical limits [16][17][18][19]. The rapid experimental demonstrations [12][13][14][15] have heightened the promise of our approach. An open problem, of fundamental interest in optics and monumental importance to astronomy and fluorescence microscopy, is whether these results can be generalized for an arbitrary distribution of incoherent sources.…”

Section: Introductionmentioning

confidence: 99%

Subdiffraction incoherent optical imaging via spatial-mode demultiplexing

Tsang¹

2017

New J. Phys.

130

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I propose a spatial-mode demultiplexing (SPADE) measurement scheme for the far-field imaging of spatially incoherent optical sources. For any object too small to be resolved by direct imaging under the diffraction limit, I show that SPADE can estimate its second or higher moments much more precisely than direct imaging can fundamentally do in the presence of photon shot noise. I also prove that SPADE can approach the optimal precision allowed by quantum mechanics in estimating the location and scale parameters of a subdiffraction object. Realizable with far-field linear optics and photon counting, SPADE is expected to find applications in both fluorescence microscopy and astronomy.

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Fault-tolerant and finite-error localization for point emitters within the diffraction limit

Cited by 101 publications

References 22 publications

Quantum limit for two-dimensional resolution of two incoherent optical point sources

Quantum limit for two-dimensional resolution of two incoherent optical point sources

A perspective on multiparameter quantum metrology: From theoretical tools to applications in quantum imaging

Subdiffraction incoherent optical imaging via spatial-mode demultiplexing

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