Quantum Tunneling Meets Macroscopic Entanglement via Transfer Learning — E8 Intelligence Research

FINDING: Quantum tunneling and macroscopic entanglement are experimentally accessible, with transfer learning bridging classical and quantum neural architectures. | MATH: No explicit equations in the raw search results; however, the physics of macroscopic quantum tunneling scales with the WKB exponent \( \exp\left(-\frac{2}{\hbar}\int_{x_1}^{x_2}\sqrt{2m(V(x)-E)}\,dx\right) \), and entanglement tomography of macroscopic mechanical objects implies Bell-type inequalities and density matrix reconstruction via \( \rho = \sum_{ij} \rho_{ij} |i\rangle\langle j| \). The hybrid transfer learning paper (arXiv:1912.08278) uses variational quantum circuits with parameterized gates \( U(\theta) = \prod e^{-i\theta_k H_k} \), and classical-quantum feature maps \( \phi(x) \to |\psi(x)\rangle \). | CONNECTION: The WKB tunneling exponent contains an action integral — for a parabolic barrier, the transmission probability yields \( T \sim e^{-2\pi E/\hbar\omega} \), where the exponent \( 2\pi \) connect Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-05
DOI
https://doi.org/10.5281/zenodo.23152704
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Quantum Tunneling Meets Macroscopic Entanglement via Transfer Learning — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Quantum Tunneling Meets Macroscopic Entanglement via Transfer Learning — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Quantum tunneling and macroscopic entanglement are experimentally accessible, with transfer learning bridging classical and quantum neural architectures. | MATH: No explicit equations in the raw search results; however, the physics of macroscopic quantum tunneling scales with the WKB exponent \( \exp\left(-\frac{2}{\hbar}\int_{x_1}^{x_2}\sqrt{2m(V(x)-E)}\,dx\right) \), and entanglement tomography of macroscopic mechanical objects implies Bell-type inequalities and density matrix reconstruction via \( \rho = \sum_{ij} \rho_{ij} |i\rangle\langle j| \). The hybrid transfer learning paper (arXiv:1912.08278) uses variational quantum circuits with parameterized gates \( U(\theta) = \prod e^{-i\theta_k H_k} \), and classical-quantum feature maps \( \phi(x) \to |\psi(x)\rangle \). | CONNECTION: The WKB tunneling exponent contains an action integral — for a parabolic barrier, the transmission probability yields \( T \sim e^{-2\pi E/\hbar\omega} \), where the exponent \( 2\pi \) connect Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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