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Pré-Publication, Document De Travail Année : 2011

Quantum Cramér-Rao bound using Gaussian multimode quantum resources, and how to reach it

Olivier Pinel
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Pu Jian
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Nicolas Treps
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Claude Fabre
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Résumé

Multimode Gaussian quantum light, which includes multimode squeezed and multipartite quadrature entangled light, is a very general and powerful quantum resource with promising applications in quantum information processing and metrology. In this paper, we determine the ultimate sensitivity in the estimation of any parameter when the information about this parameter is encoded in such light, irrespective of the information extraction protocol used in the estimation and of the quantity measured. In addition we show that an appropriate homodyne detection scheme allows us to reach the Quantum Cramér-Rao bound. We show that, for a given set of available quantum resources, the most economical way to maximize the sensitivity is to put the most squeezed state available in a well-defined light mode. This implies that it is not relevant to take advantage of the existence of squeezed fluctuations in other modes, nor of quantum correlations and entanglement between different modes. We finally apply these considerations to the problem of optimal phase shift estimation.
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Dates et versions

hal-00592390 , version 1 (12-05-2011)
hal-00592390 , version 2 (07-10-2011)

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Olivier Pinel, Julien Fade, Daniel Braun, Pu Jian, Nicolas Treps, et al.. Quantum Cramér-Rao bound using Gaussian multimode quantum resources, and how to reach it. 2011. ⟨hal-00592390v1⟩

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