Quantum steering from phase measurements with limited resources

Year: 2024

Authors: Bizzarri G., Gianani I., Manrique M., Berardi V., Bruni F., Capellini G., Barbieri M.

Autors Affiliation: Univ Roma Tre, Dipartimento Sci, Via Vasca Navale, I-00146 Rome, Italy; Dipartimento Interateneo FisicaM Merlin, Dipartimento Interateneo Fis M Merlin, Via Orabona 4, I-70126 Bari, Italy; Ist Nazl Ott CNR, Largo E Fermi 6, I-50126 Florence, Italy.

Abstract: Quantum steering captures the ability of one party, Alice, to control through quantum correlations the state at a distant location, Bob, with superior ability than allowed by a local hidden state model. Verifying the presence of quantum steering has implications for the operation of quantum communication with limited trust, and its connection to the metrological power of the quantum state has been recently proved. This link is established by means of the violation of a Cram & eacute;r-Rao bound holding for non-steerable states: its direct assessment would then require operation in the asymptotic regime of a large number of repetitions. Here, we build on previous work to account explicitly for the use of a limited number of resources and put this modified approach to test in a quantum optics experiment. The imperfections in the apparatus demand an adaptation of the original test in the multiparameter setting. Our results provide guidelines to apply such a metrological approach to the validation of quantum channels.

Journal/Review: AVS QUANTUM SCIENCE

Volume: 6 (2)      Pages from: 24405-1  to: 24405-5

More Information: We thank Adele Erculei and Nicolas Treps for stimulatingdiscussion. This work was supported by the PRIN Project No. PRIN22-RISQUE-2022T25TR3 of the Italian Ministry of University. G.B., F.B.,and G.C. are supported by Rome Technopole Innovation Ecosystem(PNRR grant M4-C2-Inv). I.G. acknowledges the support from MUR Dipartimento di Eccellenza 2023-2027
KeyWords: Verification; Entanglement
DOI: 10.1116/5.0205469

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