Diagnosing Imperfections in Quantum Sensors via Generalized Cramer-Rao Bounds

Year: 2020

Authors: Cimini V., Genoni MG., Gianani I., Spagnolo N., Sciarrino F., Barbieri M.

Autors Affiliation: Univ Roma Tre, Dipartimento Sci, Via Vasca Navale 84, I-00146 Rome, Italy; Univ Milan, Dipartimento Fis Aldo Pontremoli, Quantum Technol Lab, I-20133 Milan, Italy; Sapienza Univ Roma, Dipartimento Fis, I-00185 Rome, Italy; Ist Nazl Ottica, CNR, Largo Enrico Fermi 6, I-50125 Florence, Italy

Abstract: Quantum metrology derives its capabilities from the careful employ of quantum resources for carrying out measurements. This advantage, however, relies on refined data postprocessing, assessed based on the variance of the estimated parameter. When Bayesian techniques are adopted, more elements become available for assessing the quality of the estimation. Here we adopt generalized classical Cramer-Rao bounds for looking in detail into a phase-estimation experiment performed with quantum light. In particular, we show that the third-order absolute moment can give a superior capability in revealing biases in the estimation, compared to standard approaches. Our studies point to the identification of an alternative strategy that brings a possible advantage in monitoring the correct operation of high-precision sensors.

Journal/Review: PHYSICAL REVIEW APPLIED

Volume: 13 (2)      Pages from: 24048-1  to: 24048-7

More Information: We thank A. Smerzi for making us aware of the work [12], and F. Albarelli, M. G. A. Paris and M. Sbroscia for helpful discussions. M.G.G. acknowledges support from a PRita Levi-Montalcini fellowship of MIUR. N.S. and F.S. acknowledge support from the Amaldi Research Center funded by the Ministero dell’Istruzione dell’Universita e della Ricerca (Ministry of Education, University and Research) program Dipartimento di Eccellenza (No. CUP:B81I18001170001). I.G., N.S. and F.S. acknowledge Regione Lazio programme Progetti di Gruppi di ricerca legge Regionale no. 13/2008 (SINFONIA project, prot. no. 85-2017-15200) via LazioInnova spa.
KeyWords: Phase; Limit
DOI: 10.1103/PhysRevApplied.13.024048

Citations: 5
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