heat-1d-schrodingerization

Schrödingerization maps the non-unitary diffusion of the 1D heat equation into unitary quantum evolution, enabling standard quantum circuit simulation of classical diffusion dynamics.

Yes, this quantum simulation of the 1D heat equation supports both Dirichlet and periodic boundary conditions, automatically assembling the Laplacian and generating the corresponding quantum circuits.

Run the Schrödingerization pipeline to automatically generate and export Trotter-based quantum circuits for the 1D heat equation PDE, including visualization of the simulated quantum evolution.

Yes, the quantum heat equation solver handles source terms and various initial conditions, incorporating them into the Schrödingerization transformation prior to Trotterized quantum evolution.

Classical evolution numerically integrates the 1D heat equation directly, whereas Trotterized quantum evolution decomposes the unitary dynamics into discrete gate sequences for circuit export and quantum execution.

Yes, numpy is a required dependency for the Schrödingerization pipeline, handling numerical array operations for PDE discretization, Laplacian assembly, and classical evolution benchmarking.