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Quantum-Tunnelling Oscillators for Cognitive Modelling and Neural Computation: Foundations, Machine-Vision Realisation and Applications

Code ↔ Paper

1 match between paragraphs of the paper and lines of its authors' code, computed by the harvester (lexical-v1). Click a colored paragraph or line to see its counterpart.

The 1 match
  1. [1] § 4. Quantum-Cognitive Neural Networks › 4.1. Algorithm › 4.1.1. General Discussion ↔ Quantum-Tunnelling-Neural-Networks-Tutorial/QT_BNN_fashionMNIST_tutorial_paper_final.py, lines 6–10 · score 0.57 · Fashion MNIST, pixel, trained, network

Paper

Loaded from Europe PMC by your browser, not stored by OSCR: doi.org · Europe PMC

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The authors' code

Python · 248 lines · 8.5 KB · no license · 1 match

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It can be read at the source: Quantum-Tunnelling-Neural-Networks-Tutorial/QT_BNN_fashionMNIST_tutorial_paper_final.py.

Overview

ORCID iDs: Ivan S. Maksymov
  1. Seymour Research Laboratories, Seymour, VIC 3660, Australia
Journal: Entropy (Basel, Switzerland), volume 28, issue 6, article 697
Dates: received 5 April 2026; accepted 9 June 2026; published online 16 June 2026
Type: Research article · Language: English
License: CC BY
Identifiers: DOI · PMCID PMC13297894
Status: code verified
Categories: cognitive (subfield)
Methods: Connectivity, Machine learning, Physiology & signal measures
Keywords: ambiguity, decision-making, machine learning, neural network, optical illusion, quantum cognition, quantum tunnelling, superposition, uncertainty
Citations: 164 references in the paper

Abstract

I present a quantum-tunnelling oscillator model as a universal dynamical engine for two paradigmatic problems in quantum cognition theory—optical illusion perception and group decision making—where individuals are treated as quantum-mechanical agents whose choices shift through context-dependent transitions rather than simple probabilities. I show that, when networked together, these units form a quantum-cognitive neural system that reproduces familiar collective and perceptual phenomena while naturally accommodating counterintuitive processes that challenge classical models. Bridging ideas from quantum cognition theory and neural networks, this approach offers a compact, physically grounded way to describe how real individuals and groups think, perceive and decide.

Reproduced under the paper's license (CC BY), from the paper cited above.

Repositories

Its files are read in the Code ↔ Paper reader above, with 1 match between paragraphs and lines of code.

IvanMaksymov/Quantum-Tunnelling-Neural-Networks-Tutorial

License: none: the authors keep all their rights
State: the link answers, verified on 27 September 2026
Evidence: files inventoried
Commit: 8b8b20231087a39a25fbb36ad0710da6eb66ef1b, 22 February 2025
Languages: Python (6)
Size: 6 files, 6 scripts
Software Heritage: not archived
Found in: “Data Availability Statement”
Not found: README, license file, CITATION.cff, environment file, tests, continuous integration, documentation
Tools: NumPy (5 files), Matplotlib (3 files), Keras (2 files), scikit-learn (1 file), SciPy (1 file), TensorFlow (1 file)
Availability: 1 check, the latest on 27 September 2026: the link answers
  • 27 September 2026: the link answers
6 files, not copied: shown from their source

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ivanmaksymov/cognition-in-superposition

License: none: the authors keep all their rights
State: the link answers, verified on 27 September 2026
Evidence: files inventoried
Commit: e7c6edd7a5f2d5042e130f69df0272ebc23e8373, 18 February 2026
Languages: Python (12), Fortran (3)
Size: 46 files, 15 scripts
Software Heritage: not archived
Found in: “Data Availability Statement”
Holds: README
Not found: license file, CITATION.cff, environment file, tests, continuous integration, documentation
Tools: NumPy (11 files), Matplotlib (9 files), SciPy (5 files), Keras (2 files), scikit-learn (2 files), OpenCV (1 file), TensorFlow (1 file)
Availability: 1 check, the latest on 27 September 2026: the link answers
  • 27 September 2026: the link answers
16 files, not copied: shown from their source

OSCR keeps no copy of these files: this repository has no license that allows it. The reader above shows each one from its source, fetched by your browser at commit e7c6edd, when its fingerprint is the one OSCR verified. How this works.

The paper's code and data availability statement is in the Data section.

Tracing map

Proposed by the machine: these links were found in the paper and verified at the source, without human review. The map will receive a Zenodo DOI once one of the paper's authors has validated it with their ORCID.

What the map holds:

  • 2 repositories of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
  • 21 scripts, each with its path and the digest of its content;
  • 1 match between paragraphs of the paper and lines of the code (method lexical-v1);
  • neither the text of the paper nor the code itself.

Its JSON (tracing-map.json) is deposited on Zenodo with its DOI once the map is validated.

Data

No dataset and no data link were found in the paper.

Data Availability Statement

The source codes that implement the neural network models discussed in this paper are available in the GitHub repository, https://github.com/IvanMaksymov/Quantum-Tunnelling-Neural-Networks-Tutorial and https://github.com/IvanMaksymov/Cognition-in-Superposition/tree/main/Military-Trucks. The FDTD and finite-difference solvers can be found at https://github.com/IvanMaksymov/Cognition-in-Superposition and https://github.com/IvanMaksymov/OpinionPolarisation, respectively.

Reproduced under the paper's license (CC BY), from the paper cited above.

Versions

The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.

Version 1, 27 September 2026: the first record

Recorded: type, language, journal, volume, issue, pages, dates, 1 author, 9 keywords, 127 references.

Cite

This paper

Maksymov, I. S. (2026). Quantum-Tunnelling Oscillators for Cognitive Modelling and Neural Computation: Foundations, Machine-Vision Realisation and Applications. Entropy (Basel, Switzerland), 28(6), 697.

BibTeX

@article{maksymov2026quantum,
author = {Maksymov, Ivan S.},
title = {{Quantum-Tunnelling Oscillators for Cognitive Modelling and Neural Computation: Foundations, Machine-Vision Realisation and Applications}},
journal = {Entropy (Basel, Switzerland)},
year = {2026},
month = jun,
volume = {28},
number = {6},
pages = {697},
publisher = {Multidisciplinary Digital Publishing Institute (MDPI)},
issn = {1099-4300},
pmcid = {PMC13297894}
}

RIS

TY - JOUR
AU - Maksymov, Ivan S.
TI - Quantum-Tunnelling Oscillators for Cognitive Modelling and Neural Computation: Foundations, Machine-Vision Realisation and Applications
T2 - Entropy (Basel, Switzerland)
J2 - Entropy (Basel)
PY - 2026
DA - 2026/06/01
VL - 28
IS - 6
SP - 697
SN - 1099-4300
PB - Multidisciplinary Digital Publishing Institute (MDPI)
LA - en
ER -

CSL-JSON

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