Production of Fock Mixtures in Trapped Ions for Motional Metrology Delakouras, Antonis Rodríguez Rubiales, Daniel Cerrillo Moreno, Javier J.C. acknowledges support from Ministerio de Ciencia, Innovación y Universidades (Spain) (“Beatriz Galindo” Fellowship BEAGAL18/00081). D.R. acknowledges support from Junta de Andalucía through the project P18-FR-3432. We present a protocol to produce a class of non-thermal Fock state mixtures in trapped ions. This class of states features a clear metrological advantage with respect to the ground state, thus overcoming the standard quantum limit without the need for full sideband cooling and Fock-state preparation on a narrow electronic transition. The protocol consists in the cyclic repetition of red-sideband, measurement and preparation laser pulses. By means of the Kraus map representation of the protocol, it is possible to relate the length of the red sideband pulses to the specific class of states that can be generated. With the help of numerical simulations, we analyze the parametric regime where these states can be reliably reproduced. 2023-11-29T08:23:46Z 2023-11-29T08:23:46Z 2022-02-01 journal article Published version: Antonis Delakouras et al. 2024. Quantum Sci. Technol. 9 015006. [DOI: 10.1088/2058-9565/ad01d7] https://hdl.handle.net/10481/85912 10.1088/2058-9565/ad01d7 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional