TY - JOUR AU - Baamara, Y. AU - Gessner, M. AU - Sinatra, A. PY - 2023 DA - 2023// TI - Quantum-enhanced multiparameter estimation and compressed sensing of a field T2 - SciPost Phys. JO - Scipost Physics SP - 050 EP - 18pp VL - 14 IS - 3 PB - Scipost Foundation AB - 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. SN - 2542-4653 UR - https://arxiv.org/abs/2208.00640 UR - https://doi.org/10.21468/SciPostPhys.14.3.050 DO - 10.21468/SciPostPhys.14.3.050 LA - English N1 - WOS:000974981200008 ID - Baamara_etal2023 ER -