Condensed Matter Seminar: Realizing Multidimensional and Multipartite Quantum Photonic Systems

Superposition and entanglement are fundamental features of quantum systems. While bipartite entanglement and qubits have been extensively studied and established as essential resources for quantum computation and communication, the extension to multipartite entanglement and higher-dimensional Hilbert spaces opens new  avenues of exploration.

In this talk I will focus on our achievements in leveraging frequency-binned photons to expand Hilbert space and construct multidimensional quantum states. I will present our recent results in mediating linear, beamsplitter-type interactions between several channels simultaneously, including a novel approach to achieve all-to-all coupling between N optical frequency modes via N-way Bragg-scattering four-wave mixing. This approach can be further used to obtain arbitrary NxN transformations, imitating an N level atomic system.

Furthermore, I will share our recent progress in generating complex and multi-dimensional, all-photonic cluster states of light, through a process we term "photonic weaving". This process constructs dual-rail cluster states in time, frequency and polarization, enabling 2xN cluster states as well as a pathway to arbitrary NxM photonic cluster state generation.