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arXiv quant-ph/0611289quant-ph
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量子Hoeffding限定理的逆定理

The Converse Part of The Theorem for Quantum Hoeffding Bound

Hiroshi Nagaoka

摘要:

我们证明了量子Hoeffding界定理的逆部分的量子假设检验的渐近性,基本上是基于一个参数开发的努斯鲍姆和Szkola在证明逆部分的量子Hoeffding界。我们的结果补充了Hayashi对定理的直接(可证明性)部分的证明,因此量子Hoeffding界现在已经建立。

英文摘要:

We prove the converse part of the theorem for quantum Hoeffding bound on the asymptotics of quantum hypothesis testing, essentially based on an argument developed by Nussbaum and Szkola in proving the converse part of the quantum Chernoff bound. Our result complements Hayashi's proof of the direct (achievability) part of the theorem, so that the quantum Hoeffding bound has now been established.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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