Topological quantum computers leverage the inherent robustness of anyons to resist noise and errors, with operations implemented through braiding anyon trajectories. However, extending this concept to two-qubit operations poses significant challenges. Researchers have proposed an approach to address this limitation, focusing on the construction of entangling gates for SU(N) anyons1. This theoretical framework aims to facilitate the development of scalable topological quantum computing architectures. By exploring the properties of anyons and their braiding patterns, scientists can design more sophisticated quantum operations, paving the way for more complex computations. The development of reliable two-qubit operations is crucial for the advancement of topological quantum computing, as it enables the creation of more complex quantum circuits and algorithms. This breakthrough matters to practitioners because it brings them closer to overcoming the technical hurdles hindering the widespread adoption of topological quantum computing.