Improved lower bounds on genuine-multipartite-entanglement concurrence

Abstract

Genuine-multipartite-entanglement (GME) concurrence is a measure of genuine multipartite entanglement that generalizes the well-known notion of concurrence. We define an observable for GME concurrence. The observable permits us to avoid full state tomography and leads to different analytic lower bounds. By means of explicit examples we show that entanglement criteria based on the bounds have a better performance with respect to the known methods.

17 pages, 1 EPS figure; v3 is in one column to improve readability of equations

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• Three qubits can be entangled in two inequivalent ways
• Distributed Entanglement
• Entanglement detection
• Graph States for Quantum Secret Sharing
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• Separability criteria for genuine multiparticle entanglement
• Measure of genuine multipartite entanglement with computable lower bounds
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• Detection of genuinely entangled and non-separable $n$-partite quantum states
• Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing

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