Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying entanglement of parametric down-converted states in all
  degrees of freedom   The amount of entanglement that exists in a parametric down-converted state
is investigated in terms of all the degrees of freedom of the state. We
quantify the amount of entanglement by the Schmidt number of the state,
represented as a pure bipartite state by tagging the down-converted photons in
terms of orthogonal states of polarization with the aid of type II
phase-matching. To facilitate our calculations, we use a Wigner functional
approach, which allows the incorporation of the full infinite dimensional
spatiotemporal degrees of freedom. A quantitative example with reasonably
achievable experimental conditions is considered to demonstrate that extremely
large Schmidt numbers are achievable.

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The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an