Citation
Choong, Pak Shen
(2016)
Characterizing two- and three-qubit entanglement classes by their tensors.
Masters thesis, Universiti Putra Malaysia.
Abstract
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.
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