Crossed-product entangled states

This paper demonstrates a new formalism of producing some entangled states attached to a two-particle system. We explain how these entangled states come directly from a new algebraic method through the cross-product of two spin coherent states. They lead to various quantum states with considerable nonclassical properties, and are capable candidates to minimize the entropic uncertainty relation, too. We will also examine and optimize the quantum properties of these states, for example by selecting the appropriate parameters one can control quantum (classical) correlations.