Bounds on quantum multiple-parameter estimation with Gaussian state
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In this article, the authors investigated the quantum Cramer-Rao bounds on the joint multiple-parameter estimation with the Gaussian state as a probe, and derived the explicit right logarithmic derivative and symmetric LDA operators in such a situation.Abstract:
We investigate the quantum Cramer-Rao bounds on the joint multiple-parameter estimation with the Gaussian state as a probe. We derive the explicit right logarithmic derivative and symmetric logarithmic derivative operators in such a situation. We compute the corresponding quantum Fisher information matrices, and find that they can be fully expressed in terms of the mean displacement and covariance matrix of the Gaussian state. Finally, we give some examples to show the utility of our analytical results.read more
Citations
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Quantum-enhanced measurements without entanglement
Daniel Braun,Gerardo Adesso,Fabio Benatti,Roberto Floreanini,Ugo Marzolino,Morgan W. Mitchell,Stefano Pirandola +6 more
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Quantum Fisher information matrix and multiparameter estimation
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Multiparameter Gaussian quantum metrology
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Optimal and secure measurement protocols for quantum sensor networks.
Zachary Eldredge,Michael Foss-Feig,Michael Foss-Feig,Jonathan A. Gross,Steven L. Rolston,Alexey V. Gorshkov +5 more
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References
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Quantum detection and estimation theory
TL;DR: In this article, the optimum procedure for choosing between two hypotheses, and an approximate procedure valid at small signal-to-noise ratios and called threshold detection, are presented, and a quantum counterpart of the Cramer-Rao inequality of conventional statistics sets a lower bound to the mean-square errors of such estimates.
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Quantum estimation for quantum technology
TL;DR: Several quantities of interest in quantum information, including entanglement and purity, are nonlinear functions of the density matrix and cannot, even in principle, correspond to proper quantum information as discussed by the authors.