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Entanglement classification for a three-qubit system using special unitary groups, SU(2) and SU(4)

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dc.FundingDetailsMinistry of Higher Education, Malaysia,�MOHE: ERGS/1/2013/ICT 07/UKM/02,�FGRS/1/2011/SG/UKM/03/5
dc.FundingDetailsACKNOWLEDGMENT We would like to express our gratitude to the Ministry of Higher Education Malaysia for the research grants, Code: FGRS/1/2011/SG/UKM/03/5 and ERGS/1/2013/ICT 07/UKM/02/2 that enabled us to come up with this research.
dc.contributor.affiliationsPERMATA Insan College
dc.contributor.affiliationsUniversiti Sains Islam Malaysia (USIM)
dc.contributor.affiliationsUniversiti Kebangsaan Malaysia (UKM)
dc.contributor.affiliationsUniversiti Putra Malaysia (UPM)
dc.contributor.authorMohd S.M.en_US
dc.contributor.authorIdrus B.en_US
dc.contributor.authorZainuddin H.en_US
dc.contributor.authorMukhtar M.en_US
dc.date.accessioned2024-05-29T02:07:49Z
dc.date.available2024-05-29T02:07:49Z
dc.date.issued2019
dc.description.abstractEntanglement is a physical phenomenon that links a pair, or a set of particles that correlates with each other, regardless of the distance between them. Recent researches conducted on entanglement are mostly focused on measurement and classification in multiqubit systems. Classification of two qubits will only distinguish the quantum state as either separable or entangled, and it can be done by measurement. Meanwhile, in a three-qubit system, it becomes more complex because of the structure of the three qubits itself. It is not sufficient to do measurement because the states are divided into three types, including fully separable state, biseparable state, and genuine entangled state. Therefore, the classification is needed to distinguish the type of states in the three-qubit system. This study aims to classify the entanglement of three-qubit pure states using a combination model of special unitary groups, SU(2) and SU(4), by changing the angle of selected parameters in SU(4) and acting on the separable pure state. The matrix represents SU(2) 2�2 is matrix while matrix for SU(4) is 4�4 matrix. Hence, the combination of SU(2) and SU(4) represent 8�8 matrix. This classification uses the von Neumann entropy and three tangle measurements to classify the class, respectively. The results of this study have indicated that the three-qubit pure state has been successfully classified into different classes, namely, A-B-C, A-BC, C-AB, GHZ, and W, with A-B-C being a fully separable state, A-BC and C-AB are biseparable states, and GHZ and W are genuine entangled states. The results show that this model can change separable pure states to other entanglement class after transformation is done. � 2018 The Science and Information (SAI) Organization Limited.en_US
dc.description.natureFinalen_US
dc.identifier.epage379
dc.identifier.issn2158107X
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85070076066
dc.identifier.spage374
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85070076066&partnerID=40&md5=00c848e5d29911cd6bc6a1e59e284086
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/10410
dc.identifier.volume10
dc.languageEnglish
dc.language.isoen_USen_US
dc.publisherScience and Information Organizationen_US
dc.relation.ispartofInternational Journal of Advanced Computer Science and Applicationsen_US
dc.sourceScopus
dc.subjectEntanglement classificationen_US
dc.subjectMultiqubit entanglementen_US
dc.subjectQuantum entanglementen_US
dc.subjectQuantum informationen_US
dc.subjectSpecial unitary groupen_US
dc.subjectThree-qubit systemen_US
dc.titleEntanglement classification for a three-qubit system using special unitary groups, SU(2) and SU(4)en_US
dc.typeArticleen_US
dspace.entity.typePublication

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