Quantum enhanced sensing of a spatially extended field

The nonlocal correlations that exist in quantum physics can be used in a sensor network to improve the sensitivity of the measurement of an extended field or some of its spatial features. Taking an atomic ensemble in a spin squeezed state distributed in different spatial modes (the sensors) as a resource, I will show what kind of gain can be obtained in two different cases. First, assuming that local manipulations can be made on the sensors but all measurements are collective [1], and second, including some experimental results [2], assuming that both local manipulations and local measurements are possible on each sensor. Generalising to the case of a large number of sensors, we show applications to imaging and compressed sensing. --- References : [1] "Quantum-enhanced multiparameter estimation and compressed sensing of a field" Y. Baamara, M. Gessner, A. Sinatra, SciPost Physics 14, 050 (2023) https://scipost.org/SciPostPhys.14.3.050 ; [2] "Multiparameter estimation with an array of entangled atomic sensors" Yifan Li, Lex Joosten, Youcef Baamara, Paolo Colciaghi, Alice Sinatra, Philipp Treutlein, Tilman Zibold, https://arxiv.org/abs/2504.08677.