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In this work, we study the phenomena of quantum entanglement by computing deSitter entanglement entropy from von Neumann measure. For this purpose weconsider a bipartite quantum field theoretic setup in presence of axionoriginating from ${\bf Type~ II~B}$ string theory. We consider the initialvacuum to be CPT invariant non-adiabatic $\alpha$ vacua state under ${\bfSO(1,4)}$ ismometry, which is characterized by a real one-parameter family. Toimplement this technique we use a ${\bf S^2}$ which divide the de Sitter intotwo exterior and interior sub-regions. First, we derive the wave function ofaxion in an open chart for $\alpha$ vacua by applying Bogoliubov transformationon the solution for Bunch-Davies vacuum state. Further, we quantify the densitymatrix by tracing over the contribution from the exterior region. Using thisresult we derive entanglement entropy, R$\acute{e}$nyi entropy and explain thelong-range quantum effects in primordial cosmological correlations. We alsoprovide a comparison between the results obtained from Bunch-Davies vacuum andthe generalized $\alpha$ vacua, which implies that the amount of quantumentanglement and the long-range effects are larger for non zero value of theparameter $\alpha$. Most significantly, our derived results for $\alpha$ vacuaprovides the necessary condition for generating non zero entanglement entropyin primordial cosmology.

Quantum entanglement in de Sitter space from Stringy Axion: An analysis using $\alpha$ vacua