Exploring Chaos in the lens of Quantum Computing

Department

Department of Physics: University of Scranton

Document Type

Poster

Publication Date

4-17-2026

Abstract

This project aims to use a Variational Quantum Eigensolver (VQE) to investigate different chaotic maps, such as the Lorenz map and Arnold’s map, using quantum computers. In this study, we aim to use the Python programming language along with Qiskit or PyQuil to implement simulations and quantum circuits. Using traditional computing methods, we will recreate the same simulations to generate graphs illustrating the chaotic behavior of different maps and compare the results of classical simulations with their quantum approximations. The preliminary results suggest the possibility of employing VQE to approximate at a small scale the Lorenz and Arnolds maps with a good enough precision. Currently the simulations of both chaos maps are work in progress. Preliminarily, we have implemented and run classical simulations. This study aims to provide an insight into how VQEs could be used in the simulation of chaos maps using quantum computing. This study reflects the progress made in the area of quantum computing and algorithms. Future studies are needed to improve the precision of VQE approximations and their numerical stability.

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