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Related Experiment Video

Updated: Jun 3, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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A Hybrid Quantum Solver for the Lorenz System.

Sajad Fathi Hafshejani1, Daya Gaur1, Arundhati Dasgupta2

  • 1Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB T1K 3M4, Canada.

Entropy (Basel, Switzerland)
|January 8, 2025
PubMed
Summary

We introduce a hybrid classical-quantum approach for the Lorenz system, utilizing the Variational Quantum Linear Solver (VQLS) algorithm. This novel method achieves results comparable to classical techniques for solving nonlinear differential equations.

Keywords:
Lorenz systemerror analysisvariational quantum linear solver

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Area of Science:

  • Computational Physics
  • Quantum Computing

Background:

  • The Lorenz system is a fundamental model in chaos theory, crucial for understanding complex dynamical systems.
  • Solving nonlinear differential equations like the Lorenz system classically can be computationally intensive.

Purpose of the Study:

  • To develop and evaluate a hybrid classical-quantum computational method for solving the Lorenz system.
  • To demonstrate the efficacy of the Variational Quantum Linear Solver (VQLS) for this class of problems.

Main Methods:

  • Discretization of the Lorenz system in time using the forward Euler method.
  • Solving the resulting system of equations via the Variational Quantum Linear Solver (VQLS) algorithm.
  • Comparison of numerical results with traditional classical methods.

Main Results:

  • The hybrid classical-quantum method successfully computes solutions for the Lorenz system.
  • The Variational Quantum Linear Solver (VQLS) demonstrates comparable accuracy to classical approaches.
  • The proposed method shows potential for solving other nonlinear differential equations.

Conclusions:

  • The hybrid classical-quantum approach offers a viable alternative for solving the Lorenz system.
  • VQLS is an effective tool for tackling complex differential equations in computational physics.
  • This methodology can be extended to a broader range of nonlinear dynamical systems.