@Article{Baamara_etal2023, author="Baamara, Y. and Gessner, M. and Sinatra, A.", title="Quantum-enhanced multiparameter estimation and compressed sensing of a field", journal="Scipost Physics", year="2023", publisher="Scipost Foundation", volume="14", number="3", pages="050--18pp", abstract="We show that a significant quantum gain corresponding to squeezed or over-squeezed spin states can be obtained in multiparameter estimation by measuring the Hadamard coefficients of a 1D or 2D signal. The physical platform we consider consists of twolevel atoms in an optical lattice in a squeezed-Mott configuration, or more generally by correlated spins distributed in spatially separated modes. Our protocol requires the possibility to locally flip the spins, but relies on collective measurements. We give examples of applications to scalar or vector field mapping and compressed sensing.", optnote="WOS:000974981200008", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5519), last updated on Mon, 22 May 2023 08:45:02 +0000", issn="2542-4653", doi="10.21468/SciPostPhys.14.3.050", opturl="https://arxiv.org/abs/2208.00640", opturl="https://doi.org/10.21468/SciPostPhys.14.3.050", language="English" }