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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Main Author:	Choong, Pak Shen
Format:	Thesis
Language:	English
Published:	2016
Subjects:	Quantum theory Mathematical physics
Online Access:	http://psasir.upm.edu.my/id/eprint/66886/1/IPM%202016%2013%20IR.pdf
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id	my-upm-ir.66886
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spelling	my-upm-ir.668862019-02-08T04:03:28Z Characterizing two- and three-qubit entanglement classes by their tensors 2016-12 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. Quantum theory Mathematical physics 2016-12 Thesis http://psasir.upm.edu.my/id/eprint/66886/ http://psasir.upm.edu.my/id/eprint/66886/1/IPM%202016%2013%20IR.pdf text en public masters Universiti Putra Malaysia Quantum theory Mathematical physics
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
topic	Quantum theory Mathematical physics
spellingShingle	Quantum theory Mathematical physics Choong, Pak Shen Characterizing two- and three-qubit entanglement classes by their tensors
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.
format	Thesis
qualification_level	Master's degree
author	Choong, Pak Shen
author_facet	Choong, Pak Shen
author_sort	Choong, Pak Shen
title	Characterizing two- and three-qubit entanglement classes by their tensors
title_short	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_sort	characterizing two- and three-qubit entanglement classes by their tensors
granting_institution	Universiti Putra Malaysia
publishDate	2016
url	http://psasir.upm.edu.my/id/eprint/66886/1/IPM%202016%2013%20IR.pdf
_version_	1747812421772247040

Characterizing two- and three-qubit entanglement classes by their tensors

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