Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of Local Complementation and Euler Decomposition in the
  Qutrit ZX-calculus   In this paper, we give a modified version of the qutrit ZX-calculus, by which
we represent qutrit graph states as diagrams and prove that the qutrit version
of local complementation property is true if and only if the qutrit Hadamard
gate $H$ has an Euler decomposition into $4\pi/3$-green and red rotations. This
paves the way for studying the completeness of qutrit ZX-calculus for qutrit
stabilizer quantum mechanics.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org