# Quantum autonomous Boolean networks

**Authors:** Ian T. Durham

arXiv: 2303.00174 · 2023-03-02

## TL;DR

This paper introduces a quantum version of autonomous Boolean networks that retains classical properties while also displaying unique quantum behaviors, expanding the modeling capabilities for complex systems.

## Contribution

The paper develops a quantum autonomous Boolean network model that combines classical dynamics with quantum properties, offering new insights into complex system modeling.

## Key findings

- Exhibits classical-like spontaneous order
- Demonstrates uniquely quantum behaviors
- Shows a rich landscape of dynamical behaviors

## Abstract

Boolean networks, first developed in the late 1960s as a tool for studying complex disordered dynamical systems, consist of nodes governed by Boolean functions whose evolution is entirely deterministic in that the state of the network at a given time fully determines the state of the network at some future time. They are known for exhibiting a high degree of spontaneous order and have since become a fundamental tool for modeling a wide variety of systems. In this article I develop a model for quantum autonomous Boolean networks that exhibits many of the same properties as the classical model while also demonstrating uniquely quantum properties within a rich landscape of behavior.

## Full text

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## Figures

33 figures with captions in the complete paper: https://tomesphere.com/paper/2303.00174/full.md

## References

43 references — full list in the complete paper: https://tomesphere.com/paper/2303.00174/full.md

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Source: https://tomesphere.com/paper/2303.00174