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Related Experiment Video

Updated: Aug 28, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Turing instability in quantum activator-inhibitor systems.

Yuzuru Kato1, Hiroya Nakao2

  • 1Department of Complex and Intelligent Systems, Future University Hakodate, Hokkaido, 041-8655, Japan. katoyuzu@fun.ac.jp.

Scientific Reports
|September 16, 2022
PubMed
Summary
This summary is machine-generated.

Turing instability, a self-organization mechanism, is demonstrated in quantum systems for the first time. This research explores quantum features like entanglement and measurement effects in this novel quantum self-organization phenomenon.

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Area of Science:

  • Quantum physics
  • Nonlinear dynamics
  • Quantum optics

Background:

  • Turing instability is a key mechanism for self-organization in classical systems.
  • Its application in quantum systems remains largely unexplored.
  • Understanding quantum self-organization is crucial for developing quantum technologies.

Purpose of the Study:

  • To investigate the occurrence of Turing instability in a quantum dissipative system.
  • To analyze quantum features associated with Turing instability, including entanglement and measurement effects.
  • To explore the potential for quantum nonequilibrium self-organization.

Main Methods:

  • Proposed a quantum activator-inhibitor unit using a degenerate parametric oscillator with nonlinear damping.
  • Coupled two such units to study diffusive interactions.
  • Analyzed quantum features like entanglement and the impact of continuous measurement.

Main Results:

  • Demonstrated Turing instability in a coupled system of two quantum dissipative units.
  • Observed induced nonuniformity and entanglement between the units.
  • Identified mixed nonuniform states arising from quantum noise.
  • Continuous measurement confirmed the Turing-induced nonuniformity.

Conclusions:

  • Extended the universality of Turing instability to the quantum realm.
  • Established a quantum system exhibiting self-organization.
  • Opened new perspectives for quantum nonequilibrium self-organization and quantum technologies.