Journal
QUANTUM INFORMATION PROCESSING
Volume 6, Issue 3, Pages 187-195Publisher
SPRINGER
DOI: 10.1007/s11128-007-0052-7
Keywords
Meyer-Wallach measure; elementary monotones; entanglement monotones; global entanglement; four-qubit state; qubit labels
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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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