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International Journal of Advanced Computer Science and Applications(IJACSA), Volume 14 Issue 10, 2023.
Abstract: 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 pure multipartite, 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).
Amirul Asyraf Zhahir, Siti Munirah Mohd, Mohd Ilias M Shuhud, Bahari Idrus, Hishamuddin Zainuddin, Nurhidaya Mohamad Jan and Mohamed Ridza Wahiddin, “Entanglement Classification for Three-qubit Pure Quantum System using Special Linear Group under the SLOCC Protocol” International Journal of Advanced Computer Science and Applications(IJACSA), 14(10), 2023. http://dx.doi.org/10.14569/IJACSA.2023.0141029
@article{Zhahir2023,
title = {Entanglement Classification for Three-qubit Pure Quantum System using Special Linear Group under the SLOCC Protocol},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2023.0141029},
url = {http://dx.doi.org/10.14569/IJACSA.2023.0141029},
year = {2023},
publisher = {The Science and Information Organization},
volume = {14},
number = {10},
author = {Amirul Asyraf Zhahir and Siti Munirah Mohd and Mohd Ilias M Shuhud and Bahari Idrus and Hishamuddin Zainuddin and Nurhidaya Mohamad Jan and Mohamed Ridza Wahiddin}
}
Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.