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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Bibliographic Details
Main Authors: Luo, Gaojun, Sok, Lin, Ezerman, Martianus Frederic, Ling, San
Other Authors: School of Physical and Mathematical Sciences
Format: Conference or Workshop Item
Language:English
Published: 2024
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Online Access:https://hdl.handle.net/10356/174999
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.