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

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Quantum Mutual Information, Fragile Systems and Emergence.

Yasmín Navarrete¹, Sergio Davis^2,3

¹Instituto de Filosofía y Ciencias de la Complejidad, Los Alerces 3024 Ñuñoa, Santiago 7780192, Chile.

Entropy (Basel, Switzerland)

|November 24, 2022

Summary

This summary is machine-generated.

This study introduces a new framework for understanding emergence using quantum mechanics. It proposes a method to quantify emergent information by analyzing system correlations, offering insights into complex systems.

Keywords:

density matrix emergence quantum theory subadditivity

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Area of Science:

Quantum Information Theory
Complex Systems Science
Foundations of Physics

Background:

Emergence is a key concept in complex systems, but lacks a rigorous, quantitative definition.
The observer effect in quantum mechanics, where measurement influences a system, provides a novel perspective on studying emergent phenomena.

Purpose of the Study:

To develop an analytical description of emergence within the density matrix framework.
To propose a quantitative descriptor for emergent information based on quantum mutual information.

Main Methods:

Utilizing the density matrix formalism to represent systems as states of knowledge.
Applying quantum mutual information to calculate inner correlations between system subsystems.
Investigating fragile systems where observer interaction is crucial for detecting emergence.

Main Results:

An analytical framework for emergence is established, linking it to the observer effect.
A novel descriptor based on quantum mutual information is proposed to identify emergent information.
The research suggests a potential definition of emergent systems based on emergent information.

Conclusions:

Emergence can be analytically described from a quantum information perspective.
The proposed descriptor offers a quantitative tool for studying emergent systems.
This work bridges quantum mechanics and complex systems, paving the way for a deeper understanding of emergent phenomena.