Feedforward-enabled synthetic dimension photonics

Synthetic dimensions in photonic systems allow the study of high-dimensional lattice physics with simple, low-dimensional setups. However, current methods are limited by requiring direct physical coupling between photonic states, making it difficult to scale and control the system precisely. We propose a new platform where synthetic dimensions are created and controlled through quantum measurements and real-time feedforward operations with fast FPGA processing. By replacing fixed couplings between states with dynamically controlled interactions, we can design lattice structures with flexible connectivity. Our solution leverages telecommunications technology, making it scalable, reconfigurable, and easy to control. This approach will change the way we work with photonic synthetic dimensions, open up new possibilities for topological quantum simulation, and help investigate important questions in modern physics.