Explore the potential of qudit quantum computation in this 28-minute conference talk presented by Jacqui Romero from the University of Queensland at the QuDits for Quantum Technology workshop. Delve into a brief introduction to photonic qudits, with a focus on the transverse mode of photons. Examine current efforts in qudit quantum information processing, both in free space and on-chip. Discover how techniques based on design by specification have enabled the development of qudit gates in free-space and the observation of Hong-Ou-Mandel interference on-chip. Gain insights into the future possibilities of photonic qudit quantum computation and draw inspiration from these cutting-edge techniques.