Controlling sloppiness in two-phase estimation with a tunable weak measurement
Year: 2025
Authors: Bizzarri G., Parisi M., Manrique M., Gianani I., Chiuri A., Rosati M., Giovannetti V., Paris MGA., Barbieri M.
Autors Affiliation: Univ Roma Tre, Dipartimento Sci, Via Vasca Navale 84, I-00146 Rome, Italy; ENEA, Nucl Dept, Via E Fermi 45, I-00044 Frascati, Italy; Univ Roma Tre, Dipartimento Ingn Civile Informat & Tecnol Aeronau, Via Vito Volterra 62, I-00146 Rome, Italy; Scuola Normale Super Pisa, I-56126 Pisa, Italy; Univ Milan, Dipartimento Fis Aldo Pontremoli, Via Celoria 16, I-20133 Milan, Italy; CNR, Ist Nazl Ott, Largo E Fermi 6, I-50125 Florence, Italy.
Abstract: The description of complex systems requires a progressively larger number of parameters. However, in practice, it often happens that a small subset of parameters suffice to describe the dynamics of the system itself: these combinations are usually referred to as stiff combinations. In turn, the remaining combinations, called sloppy, only play a minor role in the dynamics of the system, hence provide little information on it. While this effect can reduce model complexity, it can also limit the estimation precision when the stiff and sloppy combinations are unknown to the experimenter, and one is forced to estimate the potentially sloppy model parameters. We explored how such a sloppy behavior can be controlled and counteracted via quantum weak measurements in the estimation of two sequential phases. We showed that the introduction of a weak measurement of variable strength in between the two phases allows to switch from a fully sloppy setup to a fully determined one where both phases can be estimated with quantum-limited precision. Our work provides an important insight of sloppiness detection in quantum systems, with promising applications in quantum metrology and imaging, as well as in quantum security and quantum monitoring. (c) 2025 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement
Journal/Review: OPTICA QUANTUM
Volume: 3 (5) Pages from: 432 to: 438
More Information: Ministero dell’Universita e della Ricerca (PRIN22-RISQUE-2022T25TR3, Dipartimento di Eccellenza 2023-2027, MSCA204 0000011-SQUID-CUP F83C22002390007) ; Rome Technopole Innovation Ecosystem (PNRR grant M4-C2-201 Inv) .DOI: 10.1364/OPTICAQ.563646Citations: 3data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2026-03-15References taken from IsiWeb of Knowledge: (subscribers only)
