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We theoretically investigate prospects for the creation of nonclassical spinstates in trapped ion arrays by coupling to a squeezed state of the collectivemotion of the ions. The correlations of the generated spin states can betailored for quantum-enhanced sensing of global or differential rotations ofsub-ensembles of the spins by working with specific vibrational modes of theion array. We propose a pair of protocols to utilize the generated states anddetermine the impact of finite size effects, inhomogeneous couplings betweenthe spin and motional degrees of freedom and technical noise. Our work suggestsnew opportunities for the preparation of many-body states with tailoredcorrelations for quantum-enhanced metrology in spin-boson systems.

Exploiting nonclassical motion of a trapped ion crystal for quantum-enhanced metrology of global and differential spin rotations