Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor Universality, Quantum Information Flow, Coecke's Theorem, and
  Generalizations   We show that Coecke's compositionality theorem for quantum information flow
follows by the universal property of tensor products from the case in which all
relevant states are totally disentangled, for which the proof is almost
trivial. With the same technique we deduce a PROP structure behind general
multipartite quantum information processing and show that all such are
equivalent to a canonical teleportation-type form. Some philosophical issues
concerning quantum information are also touched upon.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th