Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Decoder for the Color Code with Boundaries   We introduce a decoder for the 3D color code with boundaries, which is a
variation of the restriction decoder introduced by Kubicka and Delfosse.
Specifically, we adapt the lift procedure to efficiently find a correction on
qubits adjacent to a boundary. We numerically estimate a threshold of $4\% -
8\%$ for Pauli $X$ errors and a threshold of $0.7\% - 0.8\%$ for Pauli $Z$
errors. Our work is a first step towards characterizing the performance of
Bomb\'{i}n's recently proposed "colorful quantum computing."

30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex