https://doi.org/10.1140/epjd/e2007-00148-y
Discussion of the entanglement classification of a 4-qubit pure state
Department of Modern Physics, University of Science and Technology of China, Hefei, 230026, P.R. China
Corresponding author: a caoy1209@mail.ustc.edu.cn
Received:
7
November
2006
Revised:
26
January
2007
Published online:
4
May
2007
We classify 4-qubit pure states under the stochastic local operation and classical communication (SLOCC). There exist twenty three essentially different classes of states, giving rise to a four-graded partially ordered structure. We also give the criterion to judge which class an arbitrary 4-qubit state belongs to. We re-classify the 4-qubit pure state into 2×2×4, 4×4 aspects. Finally, we give our analysis of the classification difference of methods for the 3-qubit pure state.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 03.67.Mn – Entanglement production, characterization and manipulation
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007
