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.
The classical counterpart of entanglement
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abstract
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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A Classical Analogue of Entanglement for a Kicked Top
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.