CVEmbed: Embedding Linear PDE Generators into Continuous-Variable Quantum Dynamics

This repository contains the code and data accompanying the Physical Review A article “Embedding Classical Partial Differential Equations in Photonic Continuous-Variable Quantum Systems” by Aditya Ranjan, Tirthak Patel, and Devesh Tiwari. DOI: https://doi.org/10.1103/ggsj-mhkb The code implements the CVEmbed framework, which embeds real linear classical generators, such as discretized partial differential equation operators, into deterministic first-moment dynamics of continuous-variable quantum systems governed by quadratic Hamiltonians. It includes numerical experiments for heat, advection, and backward heat equations, along with scripts for constructing the embedded quantum dynamical systems, simulating first-moment evolution, evaluating numerical accuracy, and reproducing the figures and results reported in the manuscript. If you use this code or data, please cite: A. Ranjan, “CVEmbed: Embedding Linear PDE Generators into Continuous-Variable Quantum Dynamics,” Zenodo (2026), DOI: https://doi.org/10.5281/zenodo.18395188.