Phase sensitivity of a Mach-Zehnder interferometer with single-intensity and difference-intensity detection

Ataman, Stefan; Preda, Alexandru M.; Ionicioiu, Radu

doi:10.1103/physreva.98.043856

Cited by 45 publications

(79 citation statements)

References 45 publications

(121 reference statements)

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“…Since F sd = 0 for this input state, we have F = F dd . The function Υ + (α, ξ) reaches its maximum value of |α| 2 e 2r if we impose the input PMC 2θ α − θ = 0 (20) and this is the same constraint already reported and discussed in the literature for the coherent plus squeezed vacuum input [7,20,37]. In order to maximize the last term from equation (19) we have to impose the supplementary input phase-matching condition…”

Section: A Fisher Information and The Cramér-rao Boundmentioning

confidence: 67%

“…This is true for a wide class of input states including the single coherent, coherent plus squeezed vacuum as well as the squeezed-coherent plus squeezed vacuum states [6,7,9,31]. In references [7] and [9] it has been shown that generally ϕ opt = π/2 for a double coherent input. In this paper we will show that this is also the case for the most general input Gaussian state, namely the squeezed-coherent plus squeezed coherent input.…”

Section: Introductionmentioning

confidence: 90%

Section: Acknowledgmentsmentioning

confidence: 99%

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Optimal Mach-Zehnder phase sensitivity with Gaussian states

Ataman¹

2019

Phys. Rev. A

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We address in this work the phase sensitivity of a Mach-Zehnder interferometer with Gaussian input states. A squeezed-coherent plus squeezed vacuum input state allows us to unambiguously determine the optimal phase-matching conditions in order to maximize the quantum Fisher information. Realistic detection schemes are described and their performance compared in respect with the quantum Cramér-Rao bound. The core of this paper discusses in detail the most general Gaussian input state, without any apriori parameter restrictions. Prioritizing the maximization of various terms in the quantum Fisher information has the consequence of imposing the input phase-matching conditions. We discuss in detail when each scenario yields an optimal performance. Realistic detection scenarios are also considered and their performance compared to the theoretical optimum. The impact of the beam splitter types employed on the optimum phase-matching conditions is also discussed. We find a number of potentially interesting advantages of these states over the coherent plus squeezed vacuum input case.

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Section: A Fisher Information and The Cramér-rao Boundmentioning

confidence: 67%

Section: Introductionmentioning

confidence: 90%

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Optimal Mach-Zehnder phase sensitivity with Gaussian states

Ataman¹

2019

Phys. Rev. A

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“…We discuss the double coherent input scenario [22,30], this time however with a non-balanced input beam splitter. Extending some previous results [22] for the balanced case, we find that there exists an optimum input phase mis-match different from zero for non-balanced interferometers. Moreover, we show that the maximum Fisher information stays the same, regardless of the input phase mis-match, if the transmission coefficient of the input beam splitter is carefully chosen.…”

Section: Introductionmentioning

confidence: 99%

Phase sensitivity for an unbalanced interferometer without input phase-matching restrictions

Preda

Ataman

2019

Phys. Rev. A

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The Cramér-Rao bound and the quantum Fisher information (QFI) have been tools used extensively for the interferometric phase sensitivity. Most scenarios considering a Mach-Zehnder interferometer (MZI) with two input sources focused on the phase-matched case, when the Fisher information is maximal. Under this constraint, the best sensitivity is achieved for a balanced (50/50) input beam splitter. In this paper, we take a different approach: we allow the beam splitter transmission coefficient as well as the input phase mis-match to be variable parameters. We then search for a pair of these parameters that maximizes the Fisher information. We find that for the double coherent input the maximum Fisher information can always be reached in the unbalanced case for a carefully chosen input phase mis-match. For the coherent plus squeezed vacuum case we find that under certain circumstances, a threshold phase mis-match exists, beyond which the optimum Fisher information is found for the degenerate case. For the squeezed-coherent plus squeezed vacuum case we find that the optimum is actually when the squeezing angles of the two inputs are in anti-phase.

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“…Another interesting case is to replace the vacuum port with a coherent state input so that the input is a double coherent state, i.e., |α |β . The optimal phase sensitivity that can be achieved is ∆θ = 1/ |α| 2 + |β| 2 [2]. If α = β, then ∆θ = 1/ √ 2N, N being the average number of photons in any one of the inputs.…”

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confidence: 99%

Enhancing phase sensitivity with number state filtered coherent states

Meher

Sivakumar²

2019

Quantum Inf Process

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Number state filtered coherent states are a class of nonclassical states obtained by removing one or more number states from a coherent state. Phase sensitivity of an interferometer is enhanced if these nonclassical states are used as input states. The optimal phase sensitivity, which is related to the quantum Cramer-Rao bound (QCRB) for the input state, improves beyond the standard quantum limit. It is argued that removal of more than one suitable number state leads to better phase sensitivity.As an important limiting case in this context, the even and odd coherent states, where the odd and even number states are filtered from coherent state respectively, are considered. The optimal phase sensitivity for these limiting cases equals that of the squeezed vacuum. It is observed that the improvement in phase sensitivity is not in direct proportion to the nonclassicality of the input states.

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Phase sensitivity of a Mach-Zehnder interferometer with single-intensity and difference-intensity detection

Cited by 45 publications

References 45 publications

Optimal Mach-Zehnder phase sensitivity with Gaussian states

Optimal Mach-Zehnder phase sensitivity with Gaussian states

Phase sensitivity for an unbalanced interferometer without input phase-matching restrictions

Enhancing phase sensitivity with number state filtered coherent states

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