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The quantum long-range extended Ising model possesses several strikingfeatures which cannot be observed in the corresponding short-range model. Wereport that the pattern obtained from the entanglement between any twoarbitrary sites of the long-range model can be mimicked by the model having afinite range of interactions provided the interaction strength is moderate. Onthe other hand, we illustrate that when the interactions are strong,entanglement distribution in the long-range model does not match with the classof a few-range interacting model. We also show that the monogamy score ofentanglement is in a good agreement with the behavior of pairwise entanglement.Specifically, it saturates when the entanglement in the finite-rangeHamiltonian behaves similarly with the long-range model while it decaysalgebraically otherwise.

Can a finite range Hamiltonian mimic quantum correlation of a long-range Hamiltonian?