Effect of multimode entanglement on lossy optical quantum metrology

Knott, Paul; Proctor, Timothy; Nemoto, Kae; Dunningham, Jacob; Munro, William J.

doi:10.1103/physreva.90.033846

Cited by 34 publications

(34 citation statements)

References 65 publications

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“…There are works in the literature which discuss the unnecessity of mode entanglement [5,39,40,50,53,55,96,97]. Note, however, that in those works the probe states are not restricted to Gaussian states and in addition just the achievability of the Heisenberg scaling (quadratic in N ) is discussed.…”

Section: Discussionmentioning

confidence: 99%

Optimal Gaussian metrology for generic multimode interferometric circuit

et al. 2019

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Bounds on the ultimate precision attainable in the estimation of a parameter in Gaussian quantum metrology are obtained when the average number of bosonic probes is fixed. We identify the optimal input probe state among generic (mixed in general) Gaussian states with a fixed average number of probe photons for the estimation of a parameter contained in a generic multimode interferometric optical circuit, namely, a passive linear circuit preserving the total number of photons. The optimal Gaussian input state is essentially a single-mode squeezed vacuum, and the ultimate precision is achieved by a homodyne measurement on the single mode. We also reveal the best strategy for the estimation when we are given L identical target circuits and are allowed to apply passive linear controls in between with an arbitrary number of ancilla modes introduced.

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Section: Discussionmentioning

confidence: 99%

Optimal Gaussian metrology for generic multimode interferometric circuit

et al. 2019

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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: 93%

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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“…However, the practical realization of quantum metrology is limited by the ubiquitous decoherence effect induced by the influence of outer environments [27][28][29][30][31][32][33][34][35][36][37][38], which causes entanglement degradation to quantum systems. This inspires the emergence of open-system quantum metrology [39,40].…”

Section: Introductionmentioning

confidence: 99%

Quantum metrology in local dissipative environments

Wang

Chen

2017

New J. Phys.

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Quantum metrology allows us to attain a measurement precision that surpasses the classically achievable limit by using quantum characters. The metrology precision is raised from the standard quantum limit (SQL) to the Heisenberg limit (HL) by using entanglement. However, it has been reported that the HL returns to the SQL in the presence of local dephasing environments under the long encoding-time condition. We evaluate here the exact impacts of local dissipative environments on quantum metrology, based on the Ramsey interferometer. It is found that the HL is asymptotically recovered under the long encoding-time condition for a finite number of the probe atoms. Our analysis reveals that this is essentially due to the formation of a bound state between each atom and its environment. This provides an avenue for experimentation to implement quantum metrology under practical conditions via the engineering of the formation of the system-environment bound state.

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Effect of multimode entanglement on lossy optical quantum metrology

Cited by 34 publications

References 65 publications

Optimal Gaussian metrology for generic multimode interferometric circuit

Optimal Gaussian metrology for generic multimode interferometric circuit

Local versus global strategies in multiparameter estimation

Quantum metrology in local dissipative environments

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