Solve linear systems with HHL, LCU, and QSP quantum algorithms.
npx skills add https://github.com/unitarylab/quantum-skills --skill linear-systems
Please help me install this Agent Skill. Skill: linear-systems Source: https://github.com/unitarylab/quantum-skills/tree/main/algorithms/linear-systems Command: npx skills add https://github.com/unitarylab/quantum-skills --skill linear-systems
Solves linear systems of equations using quantum algorithms to achieve potential speedups over classical solvers for certain problem classes.
Run a simple example from the included references to observe a quantum-based linear-systems solver in action.
High-intent search queries and answers about installing and using this skill.
You can solve linear systems of equations using quantum algorithms like HHL, LCU, and Quantum Signal Processing to achieve potential speedups over classical solvers for certain problem classes. These methods target PDEs, data analysis, and large sparse systems.
Available quantum techniques for solving Ax=b in large sparse systems include the HHL algorithm, Linear Combination of Unitaries (LCU), and Quantum Signal Processing (QSP). They provide accelerated simulation and research workflows.
You need a Python environment with a PyTorch backend to run these quantum linear-systems solvers. The implementation requires Hermitian matrix handling, phase estimation, controlled operations, and modular circuit construction.
Quantum signal processing and HHL are both quantum methods for solving linear systems included in this skill. They offer different circuit construction approaches for handling Ax=b, allowing researchers to compare performance across PDE and data-analysis use cases.
Use quantum algorithms for linear systems when targeting potential speedups over classical solvers in specific problem classes like PDE solvers, large sparse systems, and data-analysis workflows. They are designed for researchers and students applying quantum methods.
K-Dense-AIOptimize quantum circuits with automatic differentiation across simulators and hardware.
QuantumBFSSelect optimal simulation backends for quantum circuits based on memory and complexity.
unitarylabSolve linear systems of equations using the HHL algorithm on a quantum computer.
ricableSolve diagonally dominant and Laplacian linear systems Ax=b for large sparse matrices.
