2025 ICIEST

The study presents the development of the SU(2) operator model for entanglement classification within the Local Unitary (LU) protocol. The operator model was systematically designed, specifically tailored for the pure three-qubit quantum system to accurately identify the distinct classes of entanglement. By leveraging the special unitary group, SU(2), this operator model development benefits researchers to gain a better understanding of the essence of entangled states, assisting researchers in effectively harnessing them to numerous potential applications in quantum computing, quantum cryptography, quantum teleportation and other respective fields. Hence, the study contributes significantly to advancing quantum information science. Furthermore, the foundation of this study establishes a broad pathway for advancements and future innovation in quantum information science and technologies.