Ultimate precision of joint parameter estimation under noisy Gaussian environment

Bakmou, L.; Daoud, Mohammed

doi:10.1016/j.physleta.2022.127947

Cited by 7 publications

(3 citation statements)

References 101 publications

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“…For equal variances in both quadratures this reduces to the known results of refs. 57,98,99 Probability density function for distribution of MSE values We wish to derive the probability density function (PDF) for obtaining a certain MSE given N repetitions of the experiment with mean MSE of μ M in each quadrature. The error in each estimate, x i or p i , will be randomly distributed following a normal distribution with zero mean and standard deviation of ffiffiffiffiffiffi μ M p .…”

Section: Methodsmentioning

confidence: 99%

Verifying the security of a continuous variable quantum communication protocol via quantum metrology

Conlon,

Shajilal,

Walsh

et al. 2024

npj Quantum Inf

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Quantum mechanics offers the possibility of unconditionally secure communication between multiple remote parties. Security proofs for such protocols typically rely on bounding the capacity of the quantum channel in use. In a similar manner, Cramér-Rao bounds in quantum metrology place limits on how much information can be extracted from a given quantum state about some unknown parameters of interest. In this work we establish a connection between these two areas. We first demonstrate a three-party sensing protocol, where the attainable precision is dependent on how many parties work together. This protocol is then mapped to a secure access protocol, where only by working together can the parties gain access to some high security asset. Finally, we map the same task to a communication protocol where we demonstrate that a higher mutual information can be achieved when the parties work collaboratively compared to any party working in isolation.

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Section: Methodsmentioning

confidence: 99%

Verifying the security of a continuous variable quantum communication protocol via quantum metrology

Conlon,

Shajilal,

Walsh

et al. 2024

npj Quantum Inf

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“…In this case, the minimization of Eq. (19) gives the expression of the GIP in terms of the covariance matrix elements [24]…”

Section: Gaussian Interferometric Powermentioning

confidence: 99%

“…In addition, the Gaussian states have a specific elegant formalism and provide beneficial tools to encode and process quantum information with continuous variables due to the limitation of the degrees of freedom, which is limited only to the displacement vector and the covariance matrix. As a matter of fact, the Gaussianity of quantum states is preserved during many quantum transformations operations, either unitary [14,15] or non-unitary [16,17,18,19]. These types of quantum states have been used successfully to carry out quantum teleportation and quantum error correction [20,21].…”

Section: Introductionmentioning

confidence: 99%

Quantifying quantum correlations in noisy Gaussian channels

Lahlou¹,

Baqmou²,

Maroufi³

et al. 2022

Preprint

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The Gaussian states are essential ingredients in many tasks of quantum information processing.The presence of the noises imposes limitations on achieving these quantum protocols. Therefore, examining the evolution of quantum entanglement and quantum correlations under the coherence of Gaussian states in noisy channels is of paramount importance. In this paper, we propose and analyze a scheme that aims to specify and examine the dynamic evolution of the quantum correlations in twomodes Gaussian states submitted to the influence of the Gaussian thermal environment. We describe

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