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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.18655189 |
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Table of Contents:
- <p> </p> <div> <p>This work develops a spectral interpretation of quantum entanglement within the framework of Internal Spaces Theory (IST). In this approach, entanglement is not introduced as an independent axiom but arises from the non-factorizable structure of the total Hilbert space</p> <span><span><span>H=H4D⊗HΣ,\mathcal H = \mathcal H_{4D} \otimes \mathcal H_\Sigma,</span><span><span><span>H</span><span>=</span></span><span><span><span>H</span><span><span><span><span><span><span>4<span>D</span></span></span></span><span></span></span></span></span></span><span>⊗</span></span><span><span><span>H</span><span><span><span><span><span><span>Σ</span></span></span><span></span></span></span></span></span><span>,</span></span></span></span></span> <p>where <span><span>HΣ\mathcal H_\Sigma</span><span><span><span><span>H</span><span><span><span><span><span><span>Σ</span></span></span><span></span></span></span></span></span></span></span></span> denotes an internal spectral space with discrete eigenmodes.</p> <p>Photonic states are associated with the fundamental internal mode, while massive particles correspond to excited internal modes. This spectral distinction leads to different stability properties under perturbations: transitions out of the fundamental sector are controlled by the internal spectral gap, yielding a quantitative bound on leakage effects.</p> <p>On this basis, we derive a precise admissibility condition for photonic logic gates in IST. An operation is compatible if and only if it preserves the internal fundamental sector, equivalently satisfying a commutation condition with the corresponding projector. This provides a structural criterion for evaluating quantum gate implementations.</p> <p>The framework does not modify the operational predictions of standard quantum mechanics but offers a spectral interpretation of entanglement and a quantitative stability condition relevant for photonic quantum architectures.</p> </div>