Bounds on Quantum Multiple-Parameter Estimation with Gaussian State

2014/07/28 by Yang Gao, Hwang Lee · 1 voice · 4 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1140/epjd/e2014-50560-1

7 pages, 5 figures

arxiv created 2014/07/28 · arxiv published 2014/07/28 · arxiv updated 2014/07/28 · crossref issued 2014/11/01 · crossref published 2014/11/01 · crossref published-print 2014/11/01 · openalex publication_date 2014/11/01 · crossref created 2014/11/14 · crossref published-online 2014/11/17 · openalex created_date 2016/06/24 · crossref deposited 2019/08/17 · openalex updated_date 2026/07/28 · crossref indexed 2026/08/04

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.

Citations

• Quantum-enhanced measurements: beating the standard quantum limit

Cited by

• Multiparameter quantum estimation with Gaussian states: efficiently evaluating Holevo, RLD and SLD Cramér-Rao bounds
• Protocols for estimating multiple functions with quantum sensor networks: Geometry and performance
• Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states
• Ultimate quantum sensitivity in the 3D relative localisation of two single-photon emitters via two-photon interference

Discussions

• I'm trying to calculate the Quantum Fisher Information (QFI) of a Gaussian state. In this case, I'm following the prescription outlined in this paper https://arxiv.org/abs/1407.7352 , which was publis [stackexchange, 0 points]

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