Quantum-enhanced multiparameter estimation and compressed sensing of a field

After a small introduction of the single phase estimation protocols and the corresponding quantum gain [1],  in this seminar, I will show that such a quantum gain corresponding to squeezed or over-squeezed spin states can be obtained in multiphase estimation protocols by measuring the Hadamard coefficients of a 1D or 2D signal. The physical platform we consider consists of two-level 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 [2].

[1] Youcef Baamara, Alice Sinatra, Manuel Gessner, Squeezing of nonlinear spin observables by one axis twisting in the presence of decoherence: An analytical study, Comptes Rendus. Physique, Tome 23 (2022), pp. 1-26 (10.5802/crphys.103).

[2] Youcef Baamara, Manuel Gessner, Alice Sinatra, Quantum-enhanced multiparameter estimation and compressed sensing of a field, scipost_202207_00046 (2022) (https://www.scipost.org/preprints/scipost_202207_00046v4/).

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