Metrological Nonlinear Squeezing Parameter

Year: 2019

Authors: Gessner M., Smerzi A., Pezzè L.

Autors Affiliation: CNR INO, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy; LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy; PSL Univ, CNRS, Ecole Normale Super, Dept Phys, 24 Rue Lhomond, F-75005 Paris, France.

Abstract: The well-known metrological linear squeezing parameters (such as quadrature or spin squeezing) efficiently quantify the sensitivity of Gaussian states. Yet, these parameters are insufficient to characterize the much wider class of highly sensitive non-Gaussian states. Here, we introduce a class of metrological nonlinear squeezing parameters obtained by analytical optimization of measurement observables among a given set of accessible (possibly nonlinear) operators. This allows for the metrological characterization of non-Gaussian quantum states of discrete and continuous variables. Our results lead to optimized and experimentally feasible recipes for a high-precision moment-based estimation of a phase parameter and can be used to systematically construct multipartite entanglement and nonclassicality witnesses for complex quantum states.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 122 (9)      Pages from: 090503-1  to: 090503-7

More Information: M. G. acknowledges funding by the Alexander von Humboldt Foundation. This work has been supported by the European Commission through the QuantERA ERA-NET Cofund in Quantum Technologies projects “”Q-Clocks”” and “”CEBBEC,”” by the EURAMET Empir project “”USOQS,”” and by the LabEx ENS-ICFP: ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSL*. M. G. thanks M. Walschaers for useful discussions.
KeyWords: PODOLSKY-ROSEN PARADOX; QUANTUM INFORMATION; ENTANGLEMENT; STATES; NOISE; INTERFEROMETRY; GENERATION; DYNAMICS; ATOMS
DOI: 10.1103/PhysRevLett.122.090503

ImpactFactor: 8.385
Citations: 59
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