natanil-m / quantum_dae_solver

Solving None Linear Differential and Algebric Equations (DAE) using Quantum Techniques

Quantum Differential and Algebric Equation Solver (QDES) - Under Development

Note: This project is still under development, and the associated paper is not yet complete.

Overview

Quantum computing holds immense potential for solving complex differential equations (DEs), offering innovative approaches to overcome longstanding computational challenges. This project extends existing methods and presents a comprehensive framework for leveraging quantum computers in DE problem-solving. We provide an overview of previous approaches, highlighting the need for an improved and more versatile framework. Additionally, we intend to share our codebase as an open-source framework, facilitating future research endeavors.

Introduction

The solution of differential equations plays a pivotal role in various scientific and engineering disciplines, but traditional computing approaches can be limited in handling complex DEs. Quantum computing promises a new era in DE problem-solving by harnessing the power of quantum superposition and entanglement to explore multiple paths simultaneously. Our research aims to further develop this field by providing a robust and adaptable framework.

Key Features

• Quantum Advantage: Quantum computing has the potential to revolutionize the way we approach DEs, offering the ability to explore solutions more efficiently, especially for high-dimensional and non-linear equations.

• Comparative Analysis: We will review existing methods and approaches in DE problem-solving to highlight the unique advantages of quantum computing.

• Open-Source Framework: We released our codebase as an open-source framework to encourage collaboration and further research in this field.

Contribution

If you are interested in following the development of the Quantum Differential Equation Solver (QDES) project, please keep an eye on this repository for updates. We appreciate your patience as we work towards completing the associated paper and codebase.

Examples

Authors

• Mohammadreza Soltaninia ([email protected])
• Junpeng Zhan ([email protected])

License

This project is under active development and does not currently have a specific license. Please check back for updates regarding licensing once the project is complete.

Acknowledgments

The authors acknowledge the support of the National Science Foundation under Award ERI 2138702.

We would like to express our gratitude to the quantum computing community for their support, insights, and contributions that have made this project possible. Your collaboration and shared enthusiasm for quantum computing have been invaluable.

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