Genuine Multipartite Entanglement in Quantum Phase Transitions

Details Genuine Multipartite Entanglement in Quantum Phase Transitions Genuine Multipartite Entanglement in Quantum Phase Transitions

2005-07-26

arxiv.org/abs/quant-ph/0507253v2

Phys. Rev. A 73, 010305(R) (2006)

Physics

Quantum Physics

4 pages, 3 figures. Replaced with final published version

Scientific paper

10.1103/PhysRevA.73.010305

We demonstrate that the Global Entanglement (GE) measure defined by Meyer and Wallach, J. Math. Phys. 43, 4273 (2002), is maximal at the critical point for the Ising chain in a transverse magnetic field. Our analysis is based on the equivalence of GE to the averaged linear entropy, allowing the understanding of multipartite entanglement (ME) features through a generalization of GE for bipartite blocks of qubits. Moreover, in contrast to GE, the proposed ME measure can distinguish three paradigmatic entangled states: $GHZ_{N}$, $W_{N}$, and $EPR^{\otimes N/2}$. As such the generalized measure can detect genuine ME and is maximal at the critical point.

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