Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a recipe for quantum graphical languages   Different graphical calculi have been proposed to represent quantum
computation. First the ZX- calculus [4], followed by the ZW-calculus [12] and
then the ZH-calculus [1]. We can wonder if new Z*-calculi will continue to be
proposed forever. This article answers negatively. All those language share a
common core structure we call Z*-algebras. We classify Z*-algebras up to
isomorphism in two dimensional Hilbert spaces and show that they are all
variations of the aforementioned calculi. We do the same for linear relations
and show that the calculus of [2] is essentially the unique one.

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat