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Springer eBooks

Critical Review of Measurement for Multipartite Entanglement: Detection and Quantification

Siti Munirah Mohd, Bahari Idrus, Muriati Bt. Mukhtar, Hishamuddin B Zainuddin

Published Jan 1, 2016• 0 citations
Publisher
DOI
10.1007/978-981-10-0534-3_32

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We formalize and extend an operational multipartite entanglement measure introduced by T. R. Oliveira, G. Rigolin, and M. C. de Oliveira, Phys. Rev. A 73, 010305(R) (2006), through the generalization of global entanglement (GE) [D. A. Meyer and N. R. Wallach, J. Math. Phys. 43, 4273 (2002)]. Contrarily to GE the main feature of this measure lies in the fact that we study the mean linear entropy of all possible partitions of a multipartite system. This allows the construction of an operational multipartite entanglement measure which is able to distinguish among different multipartite entangled states that GE failed to discriminate. Furthermore, it is also maximum at the critical point of the Ising chain in a transverse magnetic field, being thus able to detect a quantum phase transition.