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Updated: Jun 12, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Quantum logic automata generate class IV-like patterns and 1/f noise.

Yuki Tokuyama1, Yoshihiko Ohzawa2, Yukio-Pegio Gunji2

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Researchers linked quantum mechanics and self-organized criticality using quantum logic automata. Symmetric automata generated complex patterns and power-law distributions, supporting the quantum theory-criticality association.

Keywords:
Cellular automataComplexityCritical phenomenaQuantum logic

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Area of Science:

  • Cognitive Science
  • Quantum Mechanics
  • Artificial Intelligence

Background:

  • Recent advancements link brain science and AI to self-organized criticality (SOC) or the edge of chaos.
  • Quantum cognition, based on quantum mechanics, offers potential for resolving cognitive illusions.
  • A direct link between criticality and quantum mechanics was previously unestablished.

Purpose of the Study:

  • To introduce and explore a novel type of quantum logic automata (QLA).
  • To demonstrate the connection between quantum logic, criticality, and complex system dynamics.
  • To investigate the properties of symmetric QLAs and their emergent behaviors.

Main Methods:

  • Definition of a new class of quantum logic automata incorporating quantum logic principles.
  • Analysis of symmetric quantum logic automata structures.
  • Examination of emergent patterns and statistical distributions, specifically power-law distributions.

Main Results:

  • Symmetric quantum logic automata were shown to produce complex Class IV-like patterns.
  • The study observed power-law distributions, a hallmark of criticality.
  • These results empirically support the proposed association between quantum theory and criticality.

Conclusions:

  • The findings establish a concrete link between quantum mechanics and criticality through quantum logic automata.
  • Symmetric QLAs provide a framework for understanding complex emergent behaviors in cognitive systems.
  • This research opens new avenues for exploring quantum effects in cognition and complex systems.