Nonlinear Phase-Space Formalism for Photonic Quantum Logic in Multi-Mode Interferometric Networks

This research presents a theoretical framework for realizing photonic quantum logic using nonlinear phase-space methods rooted in quantum optics. By modeling multi-mode interferometric networks through non-Gaussian transformations and operator-based Wigner dynamics, we construct an approach that bypasses the limitations of Gaussian-only computation. The work enables scalable, matterfree quantum information processing through light, supporting entanglement generation, squeezing control, and universal logic gate design. The proposed model contributes to the future of all-optical quantum computing by offering a mathematically rigorous path for implementing computation in quantum technologies. It serves both as a fundamental extension of optical quantum theory and as a practical tool for advancing light-based quantum devices.