Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Normal form for single-qutrit Clifford+T operators and synthesis of
  single-qutrit gates   We study single-qutrit gates composed of Clifford and $T$ gates, using the
qutrit version of the $T$ gate proposed by Howard and Vala. We propose a normal
form for single-qutrit gates analogous to the Matsumoto-Amano normal form for
qubits. We prove that the normal form is optimal with respect to the number of
$T$ gates used and that any string of qutrit Clifford+$T$ operators can be put
into this normal form in polynomial time. We also prove that this form is
unique and provide an algorithm for exact synthesis of any single qutrit
Clifford+$T$ operator.

14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin