Three-tangle for high-rank mixed states
Shu-Juan He, Xiao-Hong Wang, Shao-Ming Fei, Hong-Xiang Sun and, Qiao-Yan Wen

TL;DR
This paper constructs specific high-rank three-qubit mixed states and derives explicit formulas for their three-tangle and optimal decompositions, advancing understanding of entanglement measures in complex quantum states.
Contribution
It provides explicit expressions for three-tangle and optimal decompositions for high-rank mixed states, extending entanglement analysis methods.
Findings
Explicit three-tangle formulas for rank-5 to 8 states
Optimal decompositions for these states
Discussion of CKW relations in these states
Abstract
A family of rank-n (n=5,6,7,8) three-qubit mixed states are constructed. The explicit expressions for the three-tangle and optimal decompositions for all these states are given. The CKW relations for these states are also discussed.
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