Classical Entanglement and Entropy

• URL: http://arxiv.org/abs/2301.05735v1
• Date: Fri, 13 Jan 2023 19:31:08 GMT
• Title: Classical Entanglement and Entropy
• Authors: Haowu Duan, Alex Kovner, Vladimir V. Skokov
• Abstract summary: We consider the relation between the entanglement entropy of a highly excited state of a quantum system and the classical entanglement entropy of the corresponding classical system. We observe that the nature of entanglement in this type of state is purely classical.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Motivated by recent discussions of entanglement in the context of high energy scattering, we consider the relation between the entanglement entropy of a highly excited state of a quantum system and the classical entanglement entropy of the corresponding classical system. We show on the example of two weakly coupled harmonic oscillators, that the two entropies are equal. Quantum mechanically, the reduced density matrix which yields this entropy is close to the maximally entangled state. We thus observe that the nature of entanglement in this type of state is purely classical.

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