A New Proof of the Direct Part of Stein's Lemma in Quantum Hypothesis Testing
A New Proof of the Direct Part of Stein's Lemma in Quantum Hypothesis Testing
复制标题
量子假设检验中斯坦因引理直接部分的新证明
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
Masahito Hayashi
中科院分区：
文献类型：
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作者：
T. Ogawa;Masahito Hayashi
基于密度算符与其箍缩之间的一个关键算符不等式，重新讨论了量子假设检验中Stein引理的直接部分。利用算子不等式，沿着算子单调函数，给出了Stein引理的正部的一个简单证明，同时也给出了Hiai-Petz定理的一个新证明.
The direct part of Stein's lemma in quantum hypothesis testing is revisited based on a key operator inequality between a density operator and its pinching. The operator inequality is used to show a simple proof of the direct part of Stein's lemma without using Hiai-Petz's theorem, along with an operator monotone function, and in addition it is also used to show a new proof of Hiai-Petz's theorem.