advection-schrodingerization
OfficialSolve 1D advection with Schrödingerization.
Education & Research#numerical-methods#pde#quantum-simulation#hamiltonian#schrodingerization#trotter#advection
Authorunitarylab
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This skill provides a hybrid framework to solve the 1D advection equation by combining discretization, Schrödingerization, and unitary evolution to enable both classical and quantum simulations.
Core Features & Use Cases
- PDE parsing and discretization: extract domain, grid, boundary conditions, and velocity, then build the derivative operator.
- Schrödingerization transformation: convert non-unitary systems to a Hamiltonian form suitable for quantum or hybrid simulation.
- Dual execution paths: supports classical Schrödinger solver and quantum Trotterized evolution to compare results and performance.
Quick Start
Run the provided script to execute the 1D advection Schrödingerization workflow on the included test problem.
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: advection-schrodingerization Download link: https://github.com/unitarylab/quantum-skills/archive/main.zip#advection-schrodingerization Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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