Constructing quantum error-correcting codes that require a variable amount of entanglement

In the setting of entanglement-assisted quantum error-correcting codes (EAQECCs), the sender and the receiver have access to noiseless pre-shared entanglement. With this assumption, one may obtain codes with better information rates or improved error handling properties. Entanglement incurs costs an...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Luo, Gaojun, Ezerman, Martianus Frederic, Grassl, Markus, Ling, San
مؤلفون آخرون: School of Physical and Mathematical Sciences
التنسيق: مقال
اللغة:English
منشور في: 2024
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/10356/172924
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الوصف
الملخص:In the setting of entanglement-assisted quantum error-correcting codes (EAQECCs), the sender and the receiver have access to noiseless pre-shared entanglement. With this assumption, one may obtain codes with better information rates or improved error handling properties. Entanglement incurs costs and must be judiciously calibrated in designing quantum codes, relative to their deployment parameters. Revisiting known constructions, we devise tools from classical coding theory to better understand how the amount of entanglement can be varied. We present three new propagation rules for the parameters of these codes. Tables listing the parameters of qubit and qutrit EAQECCs that we can explicitly construct are supplied for reference and comparison.