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This paper addresses foundational issues in quantum mechanics by proposing a maximum entropy formulation to reconcile spontaneous disentanglement with the causality principle. By applying Lagrange multipliers, the authors ensure that their model remains consistent for any finite-dimensional quantum system, offering a rigorous mathematical constraint on how entanglement evolves without violating physical laws.
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The spontaneous disentanglement hypothesis and causality

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arXiv:2604.10562v2 Announce Type: replace Abstract: The hypothesis that disentanglement spontaneously occurs in quantum systems is motivated by some outstanding issues in the foundations of quantum mechanics. However, for some cases, spontaneous disentanglement enables the violation of the causality principle. To mitigate the conflict with causality, a formulation for the hypothesis, which is based on the maximum entropy principle, is proposed. The method of Lagrange multipliers is implemented to ensure consistency with causality. The proposed formulation is applicable for any quantum system having a Hilbert space of finite dimensionality.

Abstract:The hypothesis that disentanglement spontaneously occurs in quantum systems is motivated by some outstanding issues in the foundations of quantum mechanics. However, for some cases, spontaneous disentanglement enables the violation of the causality principle. To mitigate the conflict with causality, a formulation for the hypothesis, which is based on the maximum entropy principle, is proposed. The method of Lagrange multipliers is implemented to ensure consistency with causality. The proposed formulation is applicable for any quantum system having a Hilbert space of finite dimensionality.

arXiv:2604.10562 [quant-ph]

(or arXiv:2604.10562v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2604.10562 Focus to learn more arXiv-issued DOI via DataCite

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