Quantum limits of localisation microscopy

Bisketzi, Evangelia; Branford, Dominic; Datta, Animesh

doi:10.1088/1367-2630/ab58a0

Cited by 41 publications

(33 citation statements)

References 57 publications

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“…However, if the system satisfies the condition , known as weak commutativity, then the quantum bound is still attainable, although collective measurements over multiple copies of the system may be necessary 40 . In the case of far-field imaging of incoherent sources, the weak commutativity condition holds and the bound is always attainable in principle with the aid of collective measurements 24 .…”

Section: Resultsmentioning

confidence: 99%

“…Progress has been made in generalizing these techniques to multiple point sources or extended sources [15][16][17][18][19][20][21], as well as to adaptive methods [22,23], but no practical framework has been developed for achieving quantum-limited resolution in the case of arbitrary incoherent source distributions, with no prior information about the distribution assumed. This is due to the seemingly daunting challenge of minimizing the Cramér-Rao bound (CRB) for arbitrary sources as the number of parameters tends towards infinity [24].…”

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confidence: 99%

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Imaging arbitrary incoherent source distributions with near quantum-limited resolution

Matlin

Zipp

2022

Sci Rep

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We demonstrate an approach to obtaining near quantum-limited far-field imaging resolution of incoherent sources with arbitrary distributions. Our method assumes no prior knowledge of the source distribution, but rather uses an adaptive approach to imaging via spatial mode demultiplexing that iteratively updates both the form of the spatial imaging modes and the estimate of the source distribution. The optimal imaging modes are determined by minimizing the estimated Cramér-Rao bound over the manifold of all possible sets of orthogonal imaging modes. We have observed through Monte Carlo simulations that the manifold-optimized spatial mode demultiplexing measurement consistently outperforms standard imaging techniques in the accuracy of source reconstructions and comes within a factor of 2 of the absolute quantum limit as set by the quantum Cramér-Rao bound. The adaptive framework presented here allows for a consistent approach to achieving near quantum-limited imaging resolution of arbitrarily distributed sources through spatial mode imaging techniques.

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Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

Imaging arbitrary incoherent source distributions with near quantum-limited resolution

Matlin

Zipp

2022

Sci Rep

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“…This temporal challenge is closely related to its spatial counterpart-finding the optimal SMD for locating multiple point sources in space, which is the focus of ongoing efforts [8]. If extended to the multipulse case, the TMD approach by Ansari and colleagues may thus provide leads on creating such an SMD, giving back to the field whose ideas it initially borrowed.…”

Section: Credit: Aps/alan Stonebrakermentioning

confidence: 99%

Getting a Handle on Timing

Datta

2021

Physics

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“…A large number of physical problems can be mapped in a phase estimation task, in which an unknown relative phase shift has to be measured [1][2][3]. Notable examples are the following: detection of gravitational waves [4], atomic clocks [5], measurement on biological systems [6], measurements of forces [7], lithography [8,9], imaging [10,11], spectroscopy and frequency measurements [12,13]. In this context, the fundamental bounds on the achievable sensitivity are provided by quantum mechanical laws [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Adaptive phase estimation through a genetic algorithm

Rambhatla

D'Aurelio

Valeri

et al. 2020

Phys. Rev. Research

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Quantum metrology is one of the most relevant applications of quantum information theory to quantum technologies. Here, quantum probes are exploited to overcome classical bounds in the estimation of unknown parameters. In this context, phase estimation, where the unknown parameter is a phase shift between two modes of a quantum system, is a fundamental problem. In practical and realistic applications, it is necessary to devise methods to optimally estimate an unknown phase shift by using a limited number of probes. Here we introduce and experimentally demonstrate a machine learning-based approach for the adaptive estimation of a phase shift in a Mach-Zehnder interferometer, tailored for optimal performances with limited resources. The employed technique is a genetic algorithm used to devise the optimal feedback phases employed during the estimation in an offline fashion. The results show the capability to retrieve the true value of the phase by using few photons, and to reach the sensitivity bounds in such small probe regime. We finally investigate the robustness of the protocol with respect to common experimental errors, showing that the protocol can be adapted to a noisy scenario. Such approach promises to be a useful tool for more complex and general tasks where optimization of feedback parameters is required.

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Quantum limits of localisation microscopy

Cited by 41 publications

References 57 publications

Imaging arbitrary incoherent source distributions with near quantum-limited resolution

Imaging arbitrary incoherent source distributions with near quantum-limited resolution

Getting a Handle on Timing

Adaptive phase estimation through a genetic algorithm

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