Bounding the entanglement of N qubits with only four measurements

Abstract

We introduce a new measure for the genuinely N-partite (all-party) entanglement of N-qubit states using the trace distance metric, and find an algebraic formula for the GHZ-diagonal states. We then use this formula to show how the all-party entanglement of experimentally produced GHZ states of an arbitrary number of qubits may be bounded with only four measurements.

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Cited by in corpus (4)

• Quantifying entanglement of a two-qubit system via measurable and invariant moments of its partially transposed density matrix
• Center-of-mass interpretation for bipartite purity analysis of $N$-party entanglement
• Coherent control of multipartite entanglement
• Maximally genuine multipartite entangled mixed X-states of N-qubits