## 1 Introduction  
Over the past decades, CO\({}_{2}\) has emerged not merely as an essential greenhouse gas but also as an abundant, low-cost, and renewable C1 feedstock in green chemistry, gaining significant industrial attention within carbon capture, utilization, and storage (CCUS). Notably, the CO\({}_{2}\)-epoxide cycloaddition reaction has gained prominence as one of the most promising technical pathways due to its inherent advantages: zero byproduct generation and 100% atom economy, aligning perfectly with green chemistry principles and the atom economy concept [1, 2]. This thermodynamically favorable process has driven the extensive development of catalysts over recent decades [3, 4, 5]. The catalytic landscape for this transformation has expanded across two primary fields: homogeneous systems including organic bases [6; 7], metal halides/complexes [8; 9], and ionic liquids [10; 11]; and heterogeneous platforms featuring metal oxides [12; 13], porous organic polymers (POPs) [14; 15], poly(ionic liquid)s (PILs) [16; 17; 18], and metal-organic frameworks (MOFs) [19; 20]. While homogeneous catalytic systems, including ionic liquids, have achieved remarkable progress, heterogeneous catalytic systems present compelling yet challenging opportunities by integrating easy separation of the catalyst with superior catalytic activity [21; 22; 23; 24]. Among these, PILs, whose polymeric architectures incorporate recurring ionic liquid motifs, uniquely combine the physicochemical properties of ionic liquids with heterogeneous characteristics [25; 26]. PILs have garnered substantial research interest due to their inherent recyclability, exceptional stability, tailorable molecular frameworks, and versatile polymerization methodologies. However, conventional PILs exhibit critical limitations in CO\({}_{2}\) cycloaddition: suboptimal nucleophilic site density, insufficient CO\({}_{2}\) activation capacity, and compromised stabilization of zwitterionic intermediates. These deficiencies collectively impair CO\({}_{2}\)/epoxide dual activation efficiency, resulting in diminished catalytic performance. To address these challenges, [PERSON] et al. synthesized a series of poly (bisimidazolium) ionic liquids (PBIL-m) and utilized them as homogeneous catalysts for CO\({}_{2}\) cycloaddition reactions [27]. Notably, these catalysts could be readily separated in a heterogeneous form post-reaction, significantly enhancing their recyclability. [PERSON] et al. developed poly(ionic liquid)s functionalized with triethylenetetramine-modified imidazolium units [28], along with a heterogeneous catalyst (PIMDIL) [29]. This design effectively integrated high-density ionic active sites and hydrogen bond donors, demonstrating superior catalytic performance in CO\({}_{2}\)-epoxide cycloaddition. Despite these advancements, critical challenges remain [30; 31]. For instance, during polymerization, the introduction of divinylbenzene (DVB) to enhance structural rigidity inevitably reduced the ionic density of the catalysts, thereby diminishing their CO\({}_{2}\) conversion efficiency. To overcome this limitation, future efforts should focus on designing poly(ionic liquid)s that simultaneously retain high ionic density and structural rigidity. One promising strategy involves incorporating rigid benzene ring structures directly into the monomer units, which may synergistically enhance ionic density, catalytic activity, and stability. Herein, the rational preparation of binuclear imidazole-based poly(ionic liquid)s (P-BVIMCI) through a free radical copolymerization strategy using 1,4-bis(chloromethyl)benzene (DCX) and N-vinylimidazole (VIM) as precursors was reported. The synthesized PILs were systematically characterized via scanning electron microscopy (SEM), Fourier-transform infrared spectroscopy (FT-IR), and X-ray photoelectron spectroscopy (XPS) to elucidate their chemical composition, hierarchical pore structure, and active sites distribution.