New quantum codes from CSS codes

• Published in: Quantum information processing Vol. 22; no. 1
• Main Author: Grassl, Markus
• Format: Journal Article
• Language: English
• Published: New York Springer US 23-01-2023
• Subjects: Data Structures and Information Theory; Mathematical Physics; Physics; Physics and Astronomy; Quantum Computing; Quantum Information Technology; Quantum Physics; Spintronics; CSS codes; Asymmetric quantum codes; Quantum error correction
• ISSN: 1573-1332; 1573-1332
• DOI: 10.1007/s11128-023-03835-3

We present a new propagation rule for CSS codes. Starting with a CSS code
[
[
n
,
k
,
d
]
]
q
, we construct a CSS code with parameters
[
[
n
-
2
,
k
,
d
-
1
]
]
q
. In general, one would only obtain a code with parameters
[
[
n
-
2
,
k
,
d
-
2
]
]
q
. The construction applies to asymmetric quantum codes from the CSS construction as well.