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    Dissipation-assisted steady-state entanglement engineering based on electron transfer models

    Mingjian Zhu*, Visal So, Guido Pagano, and Han Pu†

    • Department of Physics and Astronomy, and Smalley-Curl Institute, Rice University, Houston, Texas 77005, USA

    • *Contact author: mz40@rice.edu
    • †Contact author: hpu@rice.edu

    Phys. Rev. A 112, 012617 – Published 21 July, 2025

    DOI: https://doi.org/10.1103/9sr4-3jz2

    Abstract

    We propose a series of dissipation-assisted entanglement generation protocols that can be implemented on a trapped-ion quantum simulator. Our approach builds on the single-site molecular electron transfer (ET) model recently realized in experiment [So et al., Sci. Adv. 10, eads8011 (2024)]. This model leverages spin-dependent boson displacement and dissipation controlled by sympathetic cooling. We show that, when coupled to external degrees of freedom, the ET model can be used as a dissipative quantum control mechanism, enabling the precise tailoring of both spin and boson steady states of a target subsystem. We derive simplified analytical formalisms that offer intuitive insights into the dissipative dynamics. Using realistic interactions in a trapped-ion system, we develop a protocol for generating N-qubit and N-boson W states. Additionally, we generalize this protocol to realize generic N-qubit Dicke states with tunable excitation numbers. Finally, we outline a realistic experimental setup to implement our schemes in the presence of noise sources.

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