New entanglement-assisted quantum error-correcting codes from negacyclic codes
Entanglement-assisted quantum error-correcting (EAQEC) codes are a generalization of quantum error-correcting (QEC) codes, which can be constructed from arbitrary classical linear codes by relaxing the dual-containing condition and by using preshared entangled states between the sender and the recei...
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| Veröffentlicht in: | Designs, codes, and cryptography codes, and cryptography, 2024-05, Vol.92 (5), p.1163-1174 |
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| container_title | Designs, codes, and cryptography |
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| creator | Chen, Xiaojing Lu, Xingbo Zhu, Shixin Jiang, Wan Wang, Xindi |
| description | Entanglement-assisted quantum error-correcting (EAQEC) codes are a generalization of quantum error-correcting (QEC) codes, which can be constructed from arbitrary classical linear codes by relaxing the dual-containing condition and by using preshared entangled states between the sender and the receiver. In this paper, we investigate EAQEC codes of length
n
=
2
(
q
2
+
1
)
a
, where
q
is an odd prime power,
a
=
m
2
+
1
and
m
is an odd integer. The resulting EAQEC codes are entanglement-assisted quantum maximum-distance-separable (EAQMDS) codes when the minimum distance
d
≤
n
+
2
2
. |
| doi_str_mv | 10.1007/s10623-023-01335-0 |
| format | Article |
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n
=
2
(
q
2
+
1
)
a
, where
q
is an odd prime power,
a
=
m
2
+
1
and
m
is an odd integer. The resulting EAQEC codes are entanglement-assisted quantum maximum-distance-separable (EAQMDS) codes when the minimum distance
d
≤
n
+
2
2
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n
=
2
(
q
2
+
1
)
a
, where
q
is an odd prime power,
a
=
m
2
+
1
and
m
is an odd integer. The resulting EAQEC codes are entanglement-assisted quantum maximum-distance-separable (EAQMDS) codes when the minimum distance
d
≤
n
+
2
2
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n
=
2
(
q
2
+
1
)
a
, where
q
is an odd prime power,
a
=
m
2
+
1
and
m
is an odd integer. The resulting EAQEC codes are entanglement-assisted quantum maximum-distance-separable (EAQMDS) codes when the minimum distance
d
≤
n
+
2
2
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| ispartof | Designs, codes, and cryptography, 2024-05, Vol.92 (5), p.1163-1174 |
| issn | 0925-1022 1573-7586 |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Coding and Information Theory Computer Science Cryptology Discrete Mathematics in Computer Science Entangled states Error correcting codes Error correction |
| title | New entanglement-assisted quantum error-correcting codes from negacyclic codes |
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