Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement frustration for Gaussian states on symmetric graphs   We investigate the entanglement properties of multi-mode Gaussian states,
which have some symmetry with respect to the ordering of the modes. We show how
the symmetry constraints the entanglement between two modes of the system. In
particular, we determine the maximal entanglement of formation that can be
achieved in symmetric graphs like chains, 2d and 3d lattices, mean field models
and the platonic solids. The maximal entanglement is always attained for the
ground state of a particular quadratic Hamiltonian. The latter thus yields the
maximal entanglement among all quadratic Hamiltonians having the considered
symmetry.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga