Symmetric 3 Qubit State Invariants

Abstract

For pure symmetric 3-qubit states there are only three algebraically independent entanglement measures; one choice is the pairwise concurrence $\mathcal{C}$, the 3-tangle $\tau$, and the Kempe invariant $\kappa$. Using a canonical form for symmetric $N$-qubit states derived from their Majorana representation, we derive the explicit achievable region of triples $(\mathcal{C},\tau ,\kappa )$.

5 pages, 2 figures

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Cited by in corpus (6)

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• Characterizing nonlocality of pure symmetric three-qubit states
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• Lorentz invariants of pure three-qubit states
• Decomposition of symmetric separable states and ground state energy of bosonic systems