  We explore the application of stabilizer formalism in deriving the two Bloch
Sphere representation of pure two-qubit states, including maximally entangled
ones. Specifically, we investigate the stabilizer groups of two-qubit
stabilizer states and establish a link with both the density matrix and
graphical representation of a given stabilizer state. The sum of the stabilizer
group's matrices constitutes the state's density matrix. Simultaneously,
matrices of a stabilizer group of a given state may be associated with the
coordinate axes of the Bloch Spheres representing that state. This analysis
reveals a natural link between the density matrix and graphical
representations, offering insights into geometry and symmetries of entanglement
and two-qubit states in general.
