On propagation rules for entanglement-assisted quantum codes
This paper proposes new propagation rules on quantum codes in the entanglement-assisted scenario. The rules lead to new families of such quantum codes whose parameters are demonstrably optimal. To obtain the results, we devise tools to puncture and shorten codes in ways that ensure their Hermitian h...
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sg-ntu-dr.10356-1749992024-04-22T15:35:53Z On propagation rules for entanglement-assisted quantum codes Luo, Gaojun Sok, Lin Ezerman, Martianus Frederic Ling, San School of Physical and Mathematical Sciences 12th International Symposium on Topics in Coding (ISTC 2023) Division of Mathematical Sciences Mathematical Sciences Entanglement-assisted code Quantum codes Linear code Propagation rule This paper proposes new propagation rules on quantum codes in the entanglement-assisted scenario. The rules lead to new families of such quantum codes whose parameters are demonstrably optimal. To obtain the results, we devise tools to puncture and shorten codes in ways that ensure their Hermitian hulls have certain desirable properties. Nanyang Technological University Submitted/Accepted version The authors are all supported by Nanyang Technological University Research Grant No. 04INS000047C230GRT01. 2024-04-18T07:39:43Z 2024-04-18T07:39:43Z 2023 Conference Paper Luo, G., Sok, L., Ezerman, M. F. & Ling, S. (2023). On propagation rules for entanglement-assisted quantum codes. 12th International Symposium on Topics in Coding (ISTC 2023). https://dx.doi.org/10.1109/ISTC57237.2023.10273555 9798350326116 https://hdl.handle.net/10356/174999 10.1109/ISTC57237.2023.10273555 en 04INS000047C230GRT01 © 2023 IEEE. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1109/ISTC57237.2023.10273555. application/pdf |
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English |
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Mathematical Sciences Entanglement-assisted code Quantum codes Linear code Propagation rule |
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Mathematical Sciences Entanglement-assisted code Quantum codes Linear code Propagation rule Luo, Gaojun Sok, Lin Ezerman, Martianus Frederic Ling, San On propagation rules for entanglement-assisted quantum codes |
| description |
This paper proposes new propagation rules on quantum codes in the entanglement-assisted scenario. The rules lead to new families of such quantum codes whose parameters are demonstrably optimal. To obtain the results, we devise tools to puncture and shorten codes in ways that ensure their Hermitian hulls have certain desirable properties. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Luo, Gaojun Sok, Lin Ezerman, Martianus Frederic Ling, San |
| format |
Conference or Workshop Item |
| author |
Luo, Gaojun Sok, Lin Ezerman, Martianus Frederic Ling, San |
| author_sort |
Luo, Gaojun |
| title |
On propagation rules for entanglement-assisted quantum codes |
| title_short |
On propagation rules for entanglement-assisted quantum codes |
| title_full |
On propagation rules for entanglement-assisted quantum codes |
| title_fullStr |
On propagation rules for entanglement-assisted quantum codes |
| title_full_unstemmed |
On propagation rules for entanglement-assisted quantum codes |
| title_sort |
on propagation rules for entanglement-assisted quantum codes |
| publishDate |
2024 |
| url |
https://hdl.handle.net/10356/174999 |
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1814047334316638208 |