Entanglement Measures for Intermediate Separability of Quantum States

Details Entanglement Measures for Intermediate Separability of Quantum States Entanglement Measures for Intermediate Separability of Quantum States

2008-09-11

arxiv.org/abs/0809.1932v5

Phys. Rev. A79 (2009) 052307

Physics

Quantum Physics

8 pages, 8 figures

Scientific paper

10.1103/PhysRevA.79.052307

We present a family of entanglement measures R_m which act as indicators for separability of n-qubit quantum states into m subsystems for arbitrary 2 \leq m \leq n. The measure R_m vanishes if the state is separable into m subsystems, and for m = n it gives the Meyer-Wallach measure while for m = 2 it reduces, in effect, to the one introduced recently by Love et al. The measures R_m are evaluated explicitly for the GHZ state and the W state (and its modifications, the W_k states) to show that these globally entangled states exhibit rather distinct behaviors under the measures, indicating the utility of the measures R_m for characterizing globally entangled states as well.

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