The entanglement of some non-two-colorable graph states
نویسندگان
چکیده
We exactly evaluate the entanglement of a six vertex and a nine vertex graph states which correspond to non ”twocolorable” graphs. The upper bound of entanglement for five vertices ring graph state is improved to 2.9275, less than upper bound determined by LOCC. An upper bound of entanglement is proposed based on the definition of graph state. PACS number(s): 03.67.Mn, 03.65.Ud, Keyword(s):graph state; closest separable state; multipartite entanglement
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Two-colorable graph states with maximal Schmidt measure
The Schmidt measure was introduced by Eisert and Briegel for quantifying the degree of entanglement of multipartite quantum systems [Phys. Rev. A 64, 022306 (2001)]. Although generally intractable, it turns out that there is a bound on the Schmidt measure for two-colorable graph states [Phys. Rev. A 69, 062311 (2004)]. For these states, the Schmidt measure is in fact directly related to the num...
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