High-dimensional quantum information processing on programmable integrated photonic chips

This study reviews the recent progress of high-dimensional quantum information processing with photons. We first introduce the basic language of high-dimensional quantum information, including the representation of quantum dits (qudits), unitary operations of qudit states, and the general format of quantum algorithms with qudits. We discuss experimental implementations of high-dimensional quantum information processing and quantum computing in photonic systems, particularly in integrated quantum photonic platforms. We also discuss how qudit-based quantum photonic devices and systems can be adopted for further improving qubit-based quantum computation and quantum simulation.