Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensors, !-graphs, and non-commutative quantum structures (extended
  version)   !-graphs provide a means of reasoning about infinite families of string
diagrams and have proven useful in manipulation of (co)algebraic structures
like Hopf algebras, Frobenius algebras, and compositions thereof. However, they
have previously been limited by an inability to express families of diagrams
involving non-commutative structures which play a central role in algebraic
quantum information and the theory of quantum groups. In this paper, we fix
this shortcoming by offering a new semantics for non-commutative !-graphs using
an enriched version of Penrose's abstract tensor notation.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin