heat-1d-schrodingerization

Official

Quantum-simulate 1D heat with Schrödingerization

Authorunitarylab
Version1.0.0
Installs0

System Documentation

What problem does it solve?

This quantum-compatible solver enables transforming the non-unitary diffusion equation of the 1D heat problem into a unitary quantum evolution, supporting Dirichlet and periodic boundary conditions, source terms, and both classical and Trotter-based quantum evolution with automatic circuit generation and solution visualization.

Core Features & Use Cases

  • Schrödingerization-based transformation from diffusion to unitary dynamics
  • Supports Dirichlet and periodic boundary conditions
  • Handles source terms and various initial conditions
  • Classical vs Trotterized quantum evolution with automatic circuit generation and visualization
  • Automatic Laplacian assembly and circuit export
  • Visualization of results

Quick Start

Run the script to execute the Schrödingerization pipeline for the 1D heat equation and visualize the results.

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: heat-1d-schrodingerization
Download link: https://github.com/unitarylab/quantum-skills/archive/main.zip#heat-1d-schrodingerization

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

Agent Skills Search Helper

Install a tiny helper to your Agent, search and equip skill from 471,000+ vetted skills library on demand.