Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Polytopes: Multiparticle Entanglement from Single-Particle
  Information   Entangled many-body states are an essential resource for quantum computing
and interferometry. Determining the type of entanglement present in a system
usually requires access to an exponential number of parameters. We show that in
the case of pure multi-particle quantum states, features of the global
entanglement can already be extracted from local information alone. This is
achieved by associating with any given class of entanglement an entanglement
polytope---a geometric object which characterizes the single-particle states
compatible with that class. Our results, applicable to systems of arbitrary
size and statistics, give rise to local witnesses for global pure-state
entanglement, and can be generalized to states affected by low levels of noise.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph