We construct an entanglement measure that coincides with the generalized concurrencefor a general pure bipartite state based on wedge product. Moreover, we construct anentanglement measure for pure...
We propose an entanglement measure for pure M ⊗ N bipartite quantum states. We obtain the measure by generalizing the equivalent measure for a 2 ⊗ 2 system, via a 2 ⊗ 3 system, to the general bipartite case. The measure emphasizes the role Bell states have, both for forming the measure and for experimentally measuring the entanglement. The form of the measure is similar to the generalized concurrence. In the case of 2 ⊗ 3 systems, we prove that our measure, which is directly measurable, equals the concurrence. It is also shown that, in order to measure the entanglement, it is sufficient to measure the projections of the state onto a maximum of M ( M − 1) N ( N − 1)/2 Bell states.