Abstract:This talk introduces two efficient numerical methods for solving nonlinear filtering (NLF) problems. We propose the utilization of the proper orthogonal decomposition (POD) method and tensor train decomposition method to solve the forward Kolmogorov equation (FKE) associated with NLF problems. Our approach involves offline and online stages. In the offline stage, we discretize the par...
AbstractOptical quantum systems possess advantages such as simple bit manipulation and strong noise resistance, making them one of the most convenient and mature experimental platforms for simulating low-qubit systems and exploring fundamental quantum mechanics. Moreover, photons, serving as natural flying qubits, offer unparalleled advantages over other carriers in numerous quantum information...