Engineering high-dimensional quantum states

The adoption of high-dimensional quantum states in quantum information protocols enables better performances in applications ranging from secure quantum communications to fault-tolerant quantum computation. Development of universal protocols able to engineer arbitrary high-dimensional quantum states would be a significant achievement. Several strategies and platforms have been proposed and developed to this end. Quantum-walk (QW) dynamics have been shown to allow development of universal, platform-independent state engineering protocols. However, the unavoidable presence of noise, and imperfections in the characterization of experimental apparatuses, diminish the overall quality of the state generation.