Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal quantum computing with parafermions assisted by a half fluxon   Braiding of anyons such as Majoranas or parafermions provides only Clifford
gates which do not form a universal set of quantum gates. We propose a robust
and resource-efficient scheme to perform a non-Clifford gate on a logical qudit
encoded in parafermionic zero modes via the Aharonov-Casher effect. This gate
can be implemented by moving a half flux quantum around the pair of
parafermionic zero modes. The parafermion modes can be realized in a
two-dimensional set-up using existing proposals and a half fluxon carrying half
flux quantum can be created as a part of a half fluxon/anti-half fluxon pair in
a spin-triplet Josephson junction with a dipole defect. With an appropriate
bias current pulse, the half fluxon can be braided around the parafermions.
Supplementing this gate with the braiding of parafermions provides the avenue
for universal quantum computing with parafermions without magic state
distillation.

16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int