Awesome
QuDiffEq
Quantum algorithms for solving differential equations.
This project is part of Julia's Season of Contribution 2019.
For an introduction to the algorithms and an overview of the features, you can take a look at the blog posts: #1, #2.
Installation
<p> QuDiffEq is a <a href="https://julialang.org"> <img src="https://raw.githubusercontent.com/JuliaLang/julia-logo-graphics/master/images/julia.ico" width="16em"> Julia Language </a> package. To install QuDiffEq, please <a href="https://docs.julialang.org/en/v1/manual/getting-started/">open Julia's interactive session (known as REPL)</a> and press <kbd>]</kbd> key in the REPL to use the package mode, then type the following command </p>pkg> add QuDiffEq
Algorithms
- Quantum Algorithms for Linear Differential Equations,
- Based on truncated Taylor series
- Based on HHL.
- Quantum Algorithms for Non Linear Differential Equations.
Built With
- Yao - A framework for Quantum Algorithm Design
- QuAlgorithmZoo - A repository for Quantum Algorithms
Authors
See the list of contributors who participated in this project.
License
This project is licensed under the MIT License - see the LICENSE.md file for details
References
- D. W. Berry. High-order quantum algorithm for solving linear differential equations (https://arxiv.org/abs/1010.2745)
- Tao Xin et al. A Quantum Algorithm for Solving Linear Differential Equations: Theory and Experiment (https://arxiv.org/abs/1807.04553)
- Sarah K. Leyton, Tobias J. Osborne. A quantum algorithm to solve nonlinear differential equations(https://arxiv.org/abs/0812.4423)
- P. C.S. Costa et al. Quantum Algorithm for Simulating the Wave Equation (https://arxiv.org/abs/1711.05394)