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In this paper we investigate some entanglement properties for the Hydrogenmolecule considered as a two interacting spin 1/2 (qubit) model. Theentanglement related to the $H_{2}$ molecule is evaluated both using the vonNeumann entropy and the Concurrence and it is compared with the correspondingquantities for the two interacting spin system. Many aspects of these functionsare examinated employing in part analytical and, essentially, numericaltechniques. We have compared analogous results obtained by Huang and Kais a fewyears ago. In this respect, some possible controversial situations arepresented and discussed.

A critical theory of quantum entanglement for the Hydrogen molecule