Experimental function estimation from quantum phase measurements

Year: 2021

Authors: Gianani I., Albarelli F., Cimini V., Barbieri M.

Autors Affiliation: Univ Roma Tre, Dipartimento Sci, Via Vasca Navale 84, I-00146 Rome, Italy; Univ Warsaw, Fac Phys, Pasteura 5, PL-02093 Warsaw, Poland; CNR, Ist Nazl Ott, Largo Enrico Fermi 6, I-50125 Florence, Italy.

Abstract: Characterizing and analyzing a system often requires learning an unknown function, such as the response of a system or the profile of a field. The standard approach is to opportunely sample the function at fiducial points and then interpolate. When the quantity of interest is embodied in physical objects accessible with quantum-enhanced measurements, it becomes relevant to investigate how to transfer this advantage from the individual sampled points to the estimation of the whole function. In this article we report the experimental quantum-enhanced function estimation of the optical response of a liquid crystal. Our results illustrate that optimizing the employment of the resources is not as straightforward as it may appear at a first glance: Quantum advantage becomes substantial only past a sampling density that depends on the interpolation method, and on the function at hand. Our results show how quantum resources should successfully be employed to access the rich information contained in continuous signals.

Journal/Review: PHYSICAL REVIEW A

Volume: 103 (4)      Pages from: 42602-1  to: 42602-8

More Information: We thank F. Sciarrino for the loan of scientific equipment, A. Verna, and R. Demkowicz-Dobrzanski for valuable discussions, and M. De Seta, L. Di Gaspare, and I. Agha for useful comments. This work was supported by the H2020 FET Open Project STORMYTUNE (Grant Agreement No. 899587). I.G. was supported by Ministero dell’Istruzione, dell’Universita e della Ricerca Grant of Excellence Departments (ARTICOLO 1, COMMI 314-337, LEGGE 232/2016). F.A. acknowledges financial support from the National Science Center (Poland) Grant No. 2016/22/E/ST2/00559.
KeyWords: Liquid crystals; Phase measurement; Fiducial points; Function estimation; Interpolation method; Optical response; Physical objects; Quantity of interest; Quantum resources; Sampling densities; Quantum theory
DOI: 10.1103/PhysRevA.103.042602

ImpactFactor: 2.971
Citations: 4
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