Constructing Qubit Edge States by Inverse-Designing the Electromagnetic Environment

Building on advances in topological photonics and computational optimization, we inverse-design a periodic dielectric structure surrounding a chain of interacting qubits, emulating an extended, dimerized Su-Schrieffer-Heeger excitonic model. Our approach enables precise control over photon-mediated interactions, allowing us to explore the emergence of topological edge states in the qubit chain. By systematically tuning structural parameters to address both coherent evolution and dissipative effects, we demonstrate that edge states remain robust and isolated from the bulk, even in the presence of long-range coupling and disorder, and preserve key topological properties despite deviations from complete chiral symmetry preservation. This work highlights the potential of inverse design in stabilizing topological excitonic states, opening new possibilities for advanced quantum technologies.