Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Genuine Multipartite Entanglement in Quantum Phase Transitions   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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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin