Maximal quantum Fisher information for phase estimation without initial parity

Xu, Yu; Zhao, Xiang; Shen, Lie; Shao, Yanyan; Liu, Jing; Wang, Xiaoguang

doi:10.1364/oe.26.016292

Cited by 31 publications

(14 citation statements)

References 62 publications

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“…the QFI for arbitrary Fock states into a single MZI, which matches known results from similar scenarios [28,29]. Note that the QFI for all multimode interferometers we consider are summarised in Table I.…”

Section: The Separable Interferometer a General Fisher Informationsupporting

confidence: 77%

Multimode Metrology via Scattershot Sampling

Guanzon,

Lund,

Ralph

2021

Preprint

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Scattershot photon sources are known to have useful properties for optical quantum computing purposes, in particular for scaling to large numbers of photons. This paper investigates the application of these scattershot sources towards the metrological task of estimating an unknown phase shift. In this regard, we introduce three different scalable multimode interferometers, and quantify their quantum Fisher information performance using scattershot sources with arbitrary system sizes. We show that two of the interferometers need the probing photons to be in certain input configurations to beat the classical shot-noise precision limit, while the remaining interferometer has the necessary symmetry which allows it to always beat the classical limit no matter the input configuration. However, we can prove all three interferometers gives the same amount of information on average, which can be shown to beat the classical precision limit. We also perform Monte Carlo simulations to compare the interferometers in different experimentally relevant regimes, as a function of the number of samples.

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Section: The Separable Interferometer a General Fisher Informationsupporting

confidence: 77%

Multimode Metrology via Scattershot Sampling

Guanzon,

Lund,

Ralph

2021

Preprint

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“…|ψ in . This is especially advantageous in the balanced case (ϑ = ϑ ′ = π/2) because the output state can be simply written as [27,38,39]…”

Section: The Quantum Optical Description Of An Unbalanced Mzimentioning

confidence: 99%

“…Other authors, though, consider the full interferometer (see Fig. 1), some in the case of the classical Fisher information [12] (see also the supplementary material of [10]), but mostly in the case of QFI [27,38,39]. Indeed, in the balanced case, starting from equation (8) and due to the exponential form of the generator (i. e. Ûϕ = e iϕ Ĝ, see reference [18]) the QFI is simply [27,38,39,50,52]…”

Section: Appendix B: Shorthand Notationsmentioning

confidence: 99%

Quantum Fisher information maximization in an unbalanced interferometer

Ataman

2022

Preprint

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In this paper we provide the answer to the following question: given an arbitrary pure input state and a general, unbalanced, Mach-Zehnder interferometer, what transmission coefficient of the first beam splitter maximizes the quantum Fisher information (QFI)? We consider this question for both single-and two-parameter QFI, or, in other words, with or without having access to an external phase reference. We give analytical results for all involved scenarios. It turns out that, for a large class of input states, the balanced (50/50) scenario yields the optimal two-parameter QFI, however this is far from being a universal truth. When it comes to the single-parameter QFI, the balanced scenario is rarely the optimal one and an unbalanced interferometer can bring a significant advantage over the balanced case. We also state the condition imposed upon the input state so that no metrological advantage can be exploited via an external phase reference. Finally, we illustrate and discuss our assertions through a number of examples, including both Gaussian and non-Gaussian input states.

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“…This space can be further reduced when additional restrictions are invoked. For example, if the probe state in one import is restricted to be an odd or even state, then the maximal QFI can be achieved when the states of the two modes satisfy the phase-matching condition [89], which forms a basis for the state optimization in the MZI [89][90][91]. In practice, the phase of the input states require extra resources to identify, such as an external phase reference.…”

Section: A Analytical Optimizationmentioning

confidence: 99%

Optimal Scheme for Quantum Metrology

Liu,

Zhang,

Chen

et al. 2021

Preprint

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Quantum metrology can achieve far better precision than classical metrology, and is one of the most important applications of quantum technologies in the real world. To attain the highest precision promised by quantum metrology, all steps of the schemes need to be optimized, which include the state preparation, parametrization and measurement. Here we review the recent progresses on the optimization of these steps, which are essential for the identification and achievement of the ultimate precision limit in quantum metrology. We hope this provides a useful reference for the researchers in quantum metrology and related fields.

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Maximal quantum Fisher information for phase estimation without initial parity

Cited by 31 publications

References 62 publications

Multimode Metrology via Scattershot Sampling

Multimode Metrology via Scattershot Sampling

Quantum Fisher information maximization in an unbalanced interferometer

Optimal Scheme for Quantum Metrology

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