Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Finite de Finetti Theorem for Infinite-Dimensional Systems   We formulate and prove a de Finetti representation theorem for finitely
exchangeable states of a quantum system consisting of k infinite-dimensional
subsystems. The theorem is valid for states that can be written as the partial
trace of a pure state chosen from a family of subsets C_n of the full symmetric
subspace for $n$ subsystems. We show that such states become arbitrarily close
to mixtures of pure power states as n increases. We give a second equivalent
characterization of the family C_n.

10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics