A Graph-Based Classical and Quantum Approach to Deterministic L-System Inference
Abstract
L-systems can be made to model and create simulations of many biological processes, such as plant development. Finding an L-system for a given process is typically solved by hand, by experts, in a massively time-consuming process. It would be significant if this could be done automatically from data, such as from sequences of images. In this paper, we are interested in inferring a particular type of L-system, deterministic context-free L-system (D0L-system) from a sequence of strings. We introduce the characteristic graph of a sequence of strings, which we then utilize to translate our problem (inferring D0L-systems) in polynomial time into the maximum independent set problem (MIS) and the SAT problem. After that, we offer a classical exact algorithm and an approximate quantum algorithm for the problem.
Cite
@article{arxiv.2411.19906,
title = {A Graph-Based Classical and Quantum Approach to Deterministic L-System Inference},
author = {Ali Lotfi and Ian McQuillan and Steven Rayan},
journal= {arXiv preprint arXiv:2411.19906},
year = {2025}
}
Comments
17 pages, 1 figure