Entanglement criterion for pure $M\otimes N$ bipartite quantum states

Details Entanglement criterion for pure $M\otimes N$ bipartite quantum states Entanglement criterion for pure $M\otimes N$ bipartite quantum states

2004-01-21

arxiv.org/abs/quant-ph/0401128v2

Opt. Spectrosc. 99(3) (2005) 370-376

Physics

Quantum Physics

6 pages

Scientific paper

10.1134/1.2055931

We propose a entanglement measure for pure $M \otimes N$ bipartite quantum states. We obtain the measure by generalizing the equivalent measure for a $2 \otimes 2$ system, via a $2 \otimes 3$ 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 generalized concurrence. In the case of $2 \otimes 3$ systems, we prove that our measure, that 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.

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