2020/09/04 by Siddharth Buddhiraju, Avik Dutt, Momchil Minkov +2
Computer Science · Engineering · Physics and Astronomy · #Dimension (graph theory) #Inverse #Mechanical and Optical Resonators #Neural Networks and Reservoir Computing #Photon #Photonic and Optical Devices #Photonics #Quantum #Resonator #Scalability #Signal processing #Topology (electrical circuits) #physics.optics
paper · pdf · doi:10.1038/s41467-021-22670-7
12 pages, 7 figures
arxiv created 2020/09/04 · openalex created_date 2020/09/11 · openalex publication_date 2021/04/23 · arxiv updated 2021/05/12 · openalex updated_date 2026/08/05
Arbitrary linear transformations are of crucial importance in a plethora of photonic applications spanning classical signal processing, communication systems, quantum information processing and machine learning. Here, we present a photonic architecture to achieve arbitrary linear transformations by harnessing the synthetic frequency dimension of photons. Our structure consists of dynamically modulated micro-ring resonators that implement tunable couplings between multiple frequency modes carried by a single waveguide. By inverse design of these short- and long-range couplings using automatic differentiation, we realize arbitrary scattering matrices in synthetic space between the input and output frequency modes with near-unity fidelity and favorable scaling. We show that the same physical structure can be reconfigured to implement a wide variety of manipulations including single-frequency conversion, nonreciprocal frequency translations, and unitary as well as non-unitary transformations. Our approach enables compact, scalable and reconfigurable integrated photonic architectures to achieve arbitrary linear transformations in both the classical and quantum domains using current state-of-the-art technology.