backward-heat-1d-schrodingerization

Stabilize an ill-posed backward heat equation by applying a warped phase transformation that maps unstable exponential growth into a stable, unitary Schrödinger-like evolution system.

Schrödingerization is a mapping technique for ill-posed PDEs that transforms unstable backward heat evolution into a structured, unitary Schrödinger-like system to enable stable numerical processing.

Yes, you can solve 1D backward heat PDEs with either Dirichlet or periodic boundary conditions, and the solver also supports optional source terms in the equation.

Yes, the solver provides a classical matrix-exponentiation method and a quantum-inspired Trotter solver to compute the Schrödingerized solution for 1D backward heat equations.

You need a discretized operator A, optional source term b, grid size, and parameters T, na, R to produce the solution u, with optional quantum circuit and visualization outputs.

Backward heat equations are inherently ill-posed and unstable due to exponential growth; applying a warped phase transformation converts this into a stable unitary evolution.