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The classical counterpart of entanglement

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arxiv quant-ph/0107078 v1 pith:TBWORHYU submitted 2001-07-16 quant-ph nlin.CD

Arul Lakshminarayan This is my paper · ORCID
classification quant-phnlin.CD
keywords classicalcounterpartentanglementquantumanalogybasisbehaviorscomplete
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We define and explore the classical counterpart of entanglement in complete analogy with quantum mechanics. Using a basis independent measure of entropy in the classical Hilbert space of densities that are propagated by the Frobenius-Perron operator, we demonstrate that at short times the quantum and classical entropies share identical power laws and qualitative behaviors.

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  1. A Classical Analogue of Entanglement for a Kicked Top

    quant-ph 2024-11 conditional novelty 5.0 of 10

    Classical mutual information between phase-space subsystems of a kicked top grows at about half the Lyapunov exponent in chaotic regions and slowly in regular regions, mirroring known signatures of bipartite entanglement.

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