# A critical theory of quantum entanglement for the Hydrogen molecule

## TL;DR

This paper explores the entanglement properties of the Hydrogen molecule modeled as two interacting spins, using entropy and concurrence measures, comparing results with previous studies and discussing potential controversies.

## Contribution

It provides a detailed analysis of entanglement in the Hydrogen molecule using both analytical and numerical methods, offering new insights and comparisons with prior work.

## Key findings

- Entanglement measures vary with molecular parameters.
- Comparison reveals both agreements and discrepancies with previous studies.
- Discussion highlights potential controversial interpretations.

## Abstract

In this paper we investigate some entanglement properties for the Hydrogen molecule considered as a two interacting spin 1/2 (qubit) model. The entanglement related to the $H_{2}$ molecule is evaluated both using the von Neumann entropy and the Concurrence and it is compared with the corresponding quantities for the two interacting spin system. Many aspects of these functions are examinated employing in part analytical and, essentially, numerical techniques. We have compared analogous results obtained by Huang and Kais a few years ago. In this respect, some possible controversial situations are presented and discussed.