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Quantum spin models for numerosity perception.

Jorge Yago Malo1, Guido Marco Cicchini2, Maria Concetta Morrone3

  • 1Department of Physics "Enrico Fermi" and INFN, University of Pisa, Pisa, Italy.

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|April 25, 2023
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Summary
This summary is machine-generated.

This study introduces a novel quantum spin model to explain how simple neural systems can process numerical information. The model successfully demonstrates how numerosity is encoded and adheres to Weber's Law, a key characteristic of numerical perception.

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Area of Science:

  • Neuroscience
  • Quantum Physics
  • Cognitive Science

Background:

  • The ability to sense numerical quantities (numerosity) is present from birth in both humans and animals.
  • Existing models often require complex neural networks and supervised learning, or fail to explain Weber's Law.
  • Simple accumulator models do not accurately predict the characteristics of numerosity processing observed in biological systems.

Purpose of the Study:

  • To propose a simple quantum spin model for neural information processing.
  • To demonstrate how numerosity can be encoded in a simple neural architecture.
  • To show that this model can replicate key perceptual characteristics of numerosity, including Weber's Law.

Main Methods:

  • A simple quantum spin model with all-to-all connectivity was developed.
  • Numerosity was encoded in the spectrum after stimulation with transient signals.
  • Simulations used methods from the theory of open quantum systems out of equilibrium.

Main Results:

  • The frequency components of magnetization spectra increased with the number of stimuli.
  • An ideal-observer model decoding the spectra showed adherence to Weber's Law.
  • This quantum model successfully reproduces Weber's Law, unlike previous linear or accumulator models.

Conclusions:

  • A simple quantum spin model provides a viable mechanism for neural numerosity processing.
  • This approach offers a new perspective on how basic cognitive functions can emerge from simple physical systems.
  • The model's ability to replicate Weber's Law suggests quantum principles may play a role in early sensory processing.