Quantum-enhanced multiparameter estimation and compressed sensing of a field

TL;DR

This paper demonstrates quantum-enhanced multiparameter estimation using spin states in atomic lattices, enabling improved field mapping and compressed sensing through collective measurements.

Contribution

It introduces a protocol leveraging squeezed spin states and collective measurements for quantum-enhanced multiparameter estimation in atomic systems.

Findings

Quantum gain achieved with squeezed spin states.

Effective field mapping and compressed sensing demonstrated.

Protocol applicable to 1D and 2D signals.

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.