Characterizing two- and three-qubit entanglement classes by their tensors
In this study, local unitary (LU) properties of two- and three-qubit quantum systems are studied. Specifically, the Schmidt decomposition approach to LU classification for two qubits is re-examined using a more general approach, i.e. higher order singular value decomposition (HOSVD). Later, HOSVD...
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| Format: | Thesis |
| Language: | English |
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2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/66886/ http://psasir.upm.edu.my/id/eprint/66886/1/IPM%202016%2013%20IR.pdf |
| _version_ | 1848855694482079744 |
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| author | Choong, Pak Shen |
| author_facet | Choong, Pak Shen |
| author_sort | Choong, Pak Shen |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this study, local unitary (LU) properties of two- and three-qubit quantum systems
are studied. Specifically, the Schmidt decomposition approach to LU classification
for two qubits is re-examined using a more general approach, i.e. higher order singular
value decomposition (HOSVD). Later, HOSVD is used to classify three-qubit
pure states by LU operations. We found that due to HOSVD, it is possible to characterize
the entanglement classes of three qubits by the eigenvalues distribution of its
one-particle reduced density matrices. This finding generalized the similar classification
results in the literature and it is hoped that this work will fill in the gap of LU
classification from bipartite to multipartite quantum states by using HOSVD. |
| first_indexed | 2025-11-15T11:29:50Z |
| format | Thesis |
| id | upm-66886 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:29:50Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-668862019-02-08T04:03:28Z http://psasir.upm.edu.my/id/eprint/66886/ Characterizing two- and three-qubit entanglement classes by their tensors Choong, Pak Shen In this study, local unitary (LU) properties of two- and three-qubit quantum systems are studied. Specifically, the Schmidt decomposition approach to LU classification for two qubits is re-examined using a more general approach, i.e. higher order singular value decomposition (HOSVD). Later, HOSVD is used to classify three-qubit pure states by LU operations. We found that due to HOSVD, it is possible to characterize the entanglement classes of three qubits by the eigenvalues distribution of its one-particle reduced density matrices. This finding generalized the similar classification results in the literature and it is hoped that this work will fill in the gap of LU classification from bipartite to multipartite quantum states by using HOSVD. 2016-12 Thesis NonPeerReviewed text en http://psasir.upm.edu.my/id/eprint/66886/1/IPM%202016%2013%20IR.pdf Choong, Pak Shen (2016) Characterizing two- and three-qubit entanglement classes by their tensors. Masters thesis, Universiti Putra Malaysia. Quantum theory Mathematical physics |
| spellingShingle | Quantum theory Mathematical physics Choong, Pak Shen Characterizing two- and three-qubit entanglement classes by their tensors |
| title | Characterizing two- and three-qubit entanglement classes by their tensors |
| title_full | Characterizing two- and three-qubit entanglement classes by their tensors |
| title_fullStr | Characterizing two- and three-qubit entanglement classes by their tensors |
| title_full_unstemmed | Characterizing two- and three-qubit entanglement classes by their tensors |
| title_short | Characterizing two- and three-qubit entanglement classes by their tensors |
| title_sort | characterizing two- and three-qubit entanglement classes by their tensors |
| topic | Quantum theory Mathematical physics |
| url | http://psasir.upm.edu.my/id/eprint/66886/ http://psasir.upm.edu.my/id/eprint/66886/1/IPM%202016%2013%20IR.pdf |