دسته بندی:

محاسبات کوانتومی - Quantum-Computing

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سال انتشار:

2022

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عنوان انگلیسی مقاله:

Generalized Perfect Codes for Symmetric Classical-Quantum Channels

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ترجمه فارسی عنوان مقاله:

کدهای کامل تعمیم یافته برای کانال های متقارن کلاسیک-کوانتومی

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منبع:

ieee - ieee Transactions on Information Theory;2022;68;9;10:1109/TIT:2022:3170868

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نویسنده:

Andreu Blasco Coll; Gonzalo Vazquez-Vilar; Javier Rodriguez Fonollosa

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چکیده انگلیسی:

We define a new family of codes for symmetric classical-quantum channels and establish their optimality. To this end, we extend the classical notion of generalized perfect and quasi-perfect codes to channels defined over some finite dimensional complex Hilbert output space. The resulting optimality conditions depend on the channel considered and on an auxiliary state defined on the output space of the channel. For certain N -qubit classical-quantum channels, we show that codes based on a generalization of Bell states are quasi-perfect and, therefore, they feature the smallest error probability among all codes of the same block length and cardinality.
Index Terms: Classical-quantum channel | finite block length analysis | quantum meta-converse | perfect code, quasi-perfect code | quantum hypothesis testing.

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قیمت: رایگان

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توضیحات اضافی:

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