On propagation rules for entanglement-assisted quantum codes

• 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
• Subjects: Mathematical Sciences; Entanglement-assisted code; Quantum codes; Linear code; Propagation rule
• Online Access: https://hdl.handle.net/10356/174999
• Institution: Nanyang Technological University

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...