backward-heat-1d-schrodingerization

Official

Stabilize ill-posed backward heat PDEs

Authorunitarylab
Version1.0.0
Installs0

System Documentation

What problem does it solve?

Ill-posed backward heat equations are highly unstable to simulate. This skill stabilizes them by transforming the unstable evolution into a structured, unitary Schrödinger-like system.

Core Features & Use Cases

  • Schrödingerization mapping for ill-posed PDEs enabling stable, unitary evolution.
  • Classical matrix-exponentiation solver and quantum-inspired (Trotter) solver.
  • Supports Dirichlet or periodic boundary conditions and optional source terms.

Quick Start

Run the solver on your 1D backward heat equation to obtain a stable Schrödingerized solution.

Dependency Matrix

Required Modules

numpyunitarylab

Components

scripts

💻 Claude Code Installation

Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.

Please help me install this Skill:
Name: backward-heat-1d-schrodingerization
Download link: https://github.com/unitarylab/quantum-skills/archive/main.zip#backward-heat-1d-schrodingerization

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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