Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structural Quantification of Entanglement   We introduce an approach which allows a detailed structural and quantitative
analysis of multipartite entanglement. The sets of states with different
structures are convex and nested. Hence, they can be distinguished from each
other using appropriate measurable witnesses. We derive equations for the
construction of optimal witnesses and discuss general properties arising from
our approach. As an example, we formulate witnesses for a 4-cluster state and
perform a full quantitative analysis of the entanglement structure in the
presence of noise and losses. The strength of the method in multimode
continuous variable systems is also demonstrated by considering a dephased
GHZ-type state.

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The categories of this paper are: acc-phys
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The categories of this paper are: cs
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th