Three-Qubit Quantum System Classification Method Using Special Linear Group Under Stochastic Local Operations and Classical Communication (  SLOCC) Protocol

Amirul Asyraf bin Mohamad Zhahir

Publication:
Three-Qubit Quantum System Classification Method Using Special Linear Group Under Stochastic Local Operations and Classical Communication ( SLOCC) Protocol

datacite.subject.fos	Natural sciences::Computer and information sciences
datacite.subject.fos	Engineering and technology
dc.contributor.advisor	Siti Munirah Mohd [Supervisor]
dc.contributor.author	Amirul Asyraf bin Mohamad Zhahir
dc.date.accessioned	2024-06-11T10:35:28Z
dc.date.available	2024-06-11T10:35:28Z
dc.date.issued	2024-01
dc.description	Matric: 3211381(FST) -Restricted until Jan' 27
dc.description.abstract	Quantum technology has been instigated in Industrial Revolution 4.0, transforming the future with advanced technology. Therefore, understanding one of the key resources of quantum technology foundations, which is quantum entanglement, is crucial and valuable. An exponentially growing interest by many entities in quantum technology has propelled comprehensive studies of quantum entanglement, especially on the entanglement classification protocol. The three main protocols of entanglement classification are local unitary (LU), local operations and classical communication (LOCC), and stochastic local operations and classical communication (SLOCC). The special linear group, ( ) SL n of multipartite entanglement classification under SLOCC protocol has not been extensively studied due to its complex structure; thus, it is challenging to develop its classification method. Therefore, the main objective of this research is to develop the classification method of multipartite entanglement state using a combination of the special linear group, ( ) 2SL into an (2) (2) (2) SL SL SL   model operator under SLOCC protocol. The model operator was used to classify the entanglement of the pure state with selected parameters. An in-depth analysis was done to determine the subgroups of the special linear group, ( ) SL n and to define the characteristics and mathematical details of its theory and SLOCC transformation. This model was developed using Mathematica version 13.2 software with three parameters. In conclusion, the SL(2) SL(2) SL(2) model operator with three selected parameters changed the type of entanglement state under SLOCC protocol
dc.identifier.citation	Amirul Asyraf bin Mohamad Zhahir (2023). Three-Qubit Quantum System Classification Method Using Special Linear Group Under Stochastic Local Operations and Classical Communication ( SLOCC) Protocol [Master’s thesis, Universiti Sains Islam Malaysia]. USIM Research Repository.
dc.identifier.uri	https://oarep.usim.edu.my/handle/123456789/19101
dc.language.iso	en_US
dc.publisher	Universiti Sains Islam Malaysia
dc.subject	Quantum technology
dc.subject	Entanglement classification
dc.subject	Local unitary (LU)
dc.subject	Local operations and classical communication (LOCC)
dc.subject	Stochastic local operations and classical communication (SLOCC
dc.subject	Three-Qubit Quantum System
dc.subject	Special linear group
dc.subject	SL(2)
dc.subject	Quantum systems
dc.subject	Mathematics
dc.title	Three-Qubit Quantum System Classification Method Using Special Linear Group Under Stochastic Local Operations and Classical Communication ( SLOCC) Protocol
dc.type	text::thesis
dspace.entity.type	Publication
oairecerif.author.affiliation	Universiti Sains Islam Malaysia