Amirul Asyraf ZhahirSiti Munirah MohdMohd Ilias M ShuhudBahari IdrusHishamuddin ZainuddinNurhidaya Mohamad JanMohamed Ridza Wahiddin2024-05-282024-05-2820232023-11-62158-107X10.14569/issn.2156-5570https://oarep.usim.edu.my/handle/123456789/7867INTERNATIONAL JOURNAL OF ADVANCED COMPUTER SCIENCE AND APPLICATIONS Volume 14 No.10 Page(263-268)Quantum technology has been introduced in the IR 4.0, breeding a new era of advanced technology revolutionizing the future. Hence, understanding the key resources of quantum technology, quantum entanglement is vital. Growing interests in quantum technologies has raised comprehensive studies of quantum entanglement, especially on the entanglement classification. Special Linear group, SL(n) of multipartite entanglement classification under the SLOCC protocol is not widely studied due to its complex structure, creating a curb in developing its classification method. Therefore, this paper developed and delivered a classification method of puremultipartite, three-qubit quantum state using a combination of Special Linear group, SL(2) x SL(2) x SL(2) model operator under the SLOCC, classifying entanglement using the model operator with certain selected parameters. Further analysis was done resulting in the determination of the six subgroups, namely fully separable (A-B-C), bi-separable (A-BC, B-AC and C-AB) and genuinely entangled (W and GHZ).en-USQuantum entanglement; entanglement classification; three-qubit quantum system; special linear group; SL(2); stochastic local operations and classical communication; SLOCCArticle2632681410