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Updated: Jul 7, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

The geometric minimum action method for computing minimum energy paths.

Eric Vanden-Eijnden¹, Matthias Heymann

¹Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA. eve2@cims.nyu.edu

The Journal of Chemical Physics

|February 20, 2008

Summary

This summary is machine-generated.

This study introduces a new algorithm for calculating the minimum energy path (MEP). It uses a variational approach and steepest-descent optimization for efficient pathfinding in complex systems.

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Last Updated: Jul 7, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

Computational Chemistry
Materials Science
Chemical Physics

Background:

Determining the minimum energy path (MEP) is crucial for understanding reaction mechanisms and material transformations.
Existing methods for MEP calculation can be computationally intensive and may face challenges with complex energy landscapes.

Purpose of the Study:

To develop an efficient and robust algorithm for calculating the minimum energy path (MEP).
To provide a reliable computational tool for exploring reaction pathways and transition states.

Main Methods:

The proposed algorithm is based on a variational formulation of the MEP.
It employs a preconditioned steepest-descent scheme for functional minimization.
A reparametrization step is incorporated to ensure proper curve parameterization.

Main Results:

The algorithm successfully calculates the minimum energy path by minimizing a specific functional.
The steepest-descent and reparametrization steps ensure convergence and accuracy.
Demonstrates potential for efficient MEP determination in various chemical and physical systems.

Conclusions:

The developed algorithm offers an effective approach for MEP calculations.
This method can aid in the investigation of reaction dynamics and phase transitions.
Provides a valuable tool for computational studies in chemistry and materials science.