Role of entanglement in calibrating optical quantum gyroscopes

Kok, Pieter; Dunningham, Jacob; Ralph, Jason F.

doi:10.1103/physreva.95.012326

Cited by 45 publications

(41 citation statements)

References 37 publications

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“…Even for large photon losses in phase imaging applications, simultaneous estimation schemes can provide a constant factor advantage over individual schemes. This has seen a surge of recent work focused on yielding quantum enhanced sensing from simultaneous estimation of multiple parameters 109,113,131,[135][136][137] .…”

Section: Simultaneous Versus Sequential Estimationmentioning

confidence: 99%

“…However, in section IV H we saw recent work that demonstrate non-entangling strategies to achieve the same scaling as entangled probes 92 . Beyond a few counter examples that have reported too much entanglement as detrimental 86 , little research to date has addressed the question when and how much entanglement is necessary as a resource in order to saturate fundamental quantum precision bounds 137 . Distributed quantum sensing holds the promise to demonstrate the utility of entanglement and elucidate its contribution in providing precision enhancements.…”

Section: Distributed Quantum Sensingmentioning

confidence: 99%

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Geometric perspective on quantum parameter estimation

Sidhu

Kok

2020

AVS Quantum Science

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176

132

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Quantum metrology holds the promise of an early practical application of quantum technologies, in which measurements of physical quantities can be made with much greater precision than what is achievable with classical technologies. In this review, we collect some of the key theoretical results in quantum parameter estimation by presenting the theory for the quantum estimation of a single parameter, multiple parameters, and optical estimation using Gaussian states. We give an overview of results in areas of current research interest, such as Bayesian quantum estimation, noisy quantum metrology, and distributed quantum sensing. We address the question how minimum measurement errors can be achieved using entanglement as well as more general quantum states. This review is presented from a geometric perspective. This has the advantage that it unifies a wide variety of estimation procedures and strategies, thus providing a more intuitive big picture of quantum parameter estimation. CONTENTS

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Section: Simultaneous Versus Sequential Estimationmentioning

confidence: 99%

Section: Distributed Quantum Sensingmentioning

confidence: 99%

Geometric perspective on quantum parameter estimation

Sidhu

Kok

2020

AVS Quantum Science

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176

132

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“…It has already been shown that in a multimode (multipath) interferometer, measuring all phases simultaneously with a mode-entangled state can enhance the precision [9]. However, in stark contrast to this, in other applications of quantum metrology multimode entanglement can be detrimental, such as when measuring coupled phases [12] or when loss is considered [13]. Furthermore, from a practical point of view, large multimode-entangled states are notoriously difficult to produce and are fragile to experimental imperfections and photon losses.…”

Section: Introductionmentioning

confidence: 97%

Local versus global strategies in multiparameter estimation

et al. 2016

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(2016) Local versus global strategies in multi-parameter estimation. Physical Review A, 94 (6). a2312. ISSN 1050ISSN -2947 This version is available from Sussex Research Online: http://sro.sussex.ac.uk/65580/ This document is made available in accordance with publisher policies and may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the URL above for details on accessing the published version. Copyright and reuse:Sussex Research Online is a digital repository of the research output of the University.Copyright and all moral rights to the version of the paper presented here belong to the individual author(s) and/or other copyright owners. To the extent reasonable and practicable, the material made available in SRO has been checked for eligibility before being made available.Copies of full text items generally can be reproduced, displayed or performed and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided that the authors, title and full bibliographic details are credited, a hyperlink and/or URL is given for the original metadata page and the content is not changed in any way. We consider the problem of estimating multiple phases using a multimode interferometer. In this setting we show that while global strategies that estimate all the phases simultaneously can lead to high precision gains, the same enhancements can be obtained with local strategies in which each phase is estimated individually. A key resource for the enhancement is shown to be a large particle-number variance in the probe state, and for states where the total particle number is not fixed, this can be obtained for mode-separable states, and the phases can be read out with local measurements. This has important practical implications because local strategies are generally preferred to global ones for their robustness to local estimation failure, flexibility in the distribution of resources, and comparatively easier state preparation. We obtain our results by analyzing two different schemes: the first uses a set of interferometers, which can be used as a model for a network of quantum sensors, and the second looks at measuring a number of phases relative to a reference, which is concerned primarily with quantum imaging.

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“…in classical imaging, where baseline telescopes are used. Recently quantum sensor networks have been introduced, and shown to offer an advantage in several problems: to measure field gradients [4][5][6], to increase the accuracy of atomic clocks [7,8], or of interferometers and telescope networks [9][10][11][12] using entangled quantum states (see also [13][14][15][16][17][18][19][20][21][22][23]). Current experimental capabilities (e.g.…”

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confidence: 99%

Optimal distributed sensing in noisy environments

Sekatski

Wölk

Dür

2020

Phys. Rev. Research

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We consider distributed sensing of non-local quantities. We introduce quantum enhanced protocols to directly measure any (scalar) field with a specific spatial dependence by placing sensors at appropriate positions and preparing a spatially distributed entangled quantum state. Our scheme has optimal Heisenberg scaling and is completely unaffected by noise on other processes with different spatial dependence than the signal. We consider both Fisher and Bayesian scenarios, and design states and settings to achieve optimal scaling. We explicitly demonstrate how to measure coefficients of spatial Taylor and Fourier series, and show that our approach can offer an exponential advantage as compared to strategies that do not make use of entanglement between different sites.Introduction.-High precision measurements of physical quantities are of fundamental importance in all branches of physics and beyond. Quantum metrology offers a quadratic scaling advantage over a classical approach, and has hence received tremendous attention in recent years. Most of the effort has concentrated on local estimation problems, where an unknown quantity such as field strength or frequency should be measured. Optimal schemes have been designed for different kinds of estimation problems, and demonstrated experimentally [1][2][3].In many physical problems, the quantity of interest is however not a local property, but has a characteristic spatial dependence such as e.g. the gradient (or higher moment) of a field, or a (spatial) Fourier coefficient. In this case, multiple measurements performed at different positions are required, i.e. one uses distributed sensors or sensor networks. Such distributed sensors also allow one to increase resolution e.g. in classical imaging, where baseline telescopes are used. Recently quantum sensor networks have been introduced, and shown to offer an advantage in several problems: to measure field gradients [4][5][6], to increase the accuracy of atomic clocks [7,8], or of interferometers and telescope networks [9-12] using entangled quantum states (see also [13][14][15][16][17][18][19][20][21][22][23]). Current experimental capabilities (e.g. [24][25][26]) already allow the implementation of quantum sensor networks on the scale of a lab, and with the emergence of quantum networks [27,28] large scale sensor networks shall become a promising application and a real possibility in the near future. General quantum sensor networks are based on distributed multipartite entangled quantum states, and in addition to optimizing states, measurements and strategies also the positioning of sensors can be varied and optimized. Surprisingly, distributed entanglement between remote sensors does not necessarily help in the absence of noise and many repetitions (i.e. Fisher regime) when multiple quantities should be determined simultaneously [13,[29][30][31]. However, the practical applicability, in particular in the presence of noise and imperfections, is largely unexplored.Here we introduce quantum enhanced protocols to directly...

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Role of entanglement in calibrating optical quantum gyroscopes

Cited by 45 publications

References 37 publications

Geometric perspective on quantum parameter estimation

Geometric perspective on quantum parameter estimation

Local versus global strategies in multiparameter estimation

Optimal distributed sensing in noisy environments

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