A characterization of global entanglement

Details A characterization of global entanglement A characterization of global entanglement

2006-02-16

arxiv.org/abs/quant-ph/0602143v2

Physics

Quantum Physics

4 pages, 1 figure, REVTeX 4, v2 Minor errors corrected, three new references, expanded discussion of extension to mixed states

Scientific paper

We define a set of $2^{n-1}-1$ entanglement monotones for $n$ qubits and give a single measure of entanglement in terms of these. This measure is zero except on globally entangled (fully inseparable) states. This measure is compared to the Meyer-Wallach measure for two, three, and four qubits. We determine the four-qubit state, symmetric under exchange of qubit labels, which maximizes this measure. It is also shown how the elementary monotones may be computed as a function of observable quantities. We compute the magnitude of our measure for the ground state of the four-qubit superconducting experimental system investigated in [M. Grajcar et al., Phys. Rev. Lett._96_, 047006 (2006)], and thus confirm the presence of global entanglement in the ground state.

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