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Entanglement and its relationship to classical dynamics

2017/06/26 by Joshua B. Ruebeck, Jie Lin, Arjendu K. Pattanayak · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Hamiltonian (control theory) #Mathematics #Measure (data warehouse) #Phase space #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum chaos #Quantum chaos and dynamical systems #Quantum dynamics #Quantum entanglement #Quantum mechanics #Qubit #Squashed entanglement #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreve.95.062222

published as Phys. Rev. E 95 (2017) 062222 · 11 pages, 10 figures

openalex publication_date 2017/06/26 · arxiv created 2017/08/01 · arxiv updated 2017/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an analysis of the entangling quantum kicked top focusing on the few qubit case and the initial condition dependence of the time-averaged entanglement SQ for spin-coherent states. We show a very strong connection between the classical phase space and the initial condition dependence of SQ even for the extreme case of two spin-1/2 qubits. This correlation is not related directly to chaos in the classical dynamics. We introduce a measure of the behavior of a classical trajectory which correlates far better with the entanglement and show that the maps of classical and quantum initial-condition dependence are both organized around the symmetry points of the Hamiltonian. We also show clear (quasi-)periodicity in entanglement as a function of number of kicks and of kick strength.

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