An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses
An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses
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DOI：
10.1109/tit.2006.889463
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发表时间：
2002-06
影响因子：
2.5
通讯作者：
H. Nagaoka;Masahito Hayashi
中科院分区：
文献类型：
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作者：
H. Nagaoka;Masahito Hayashi
将Han对简单假设进行经典假设检验的信息谱分析扩展到一个包括经典假设检验和量子假设检验的统一框架。当对概率分布和量子态放宽归一化条件时，结果也适用于定长源编码。本文从经典信息谱和量子信息谱的角度，建立了与测试/码的渐近最优性有关的几个量的一般公式
The information-spectrum analysis made by Han for classical hypothesis testing for simple hypotheses is extended to a unifying framework including both classical and quantum hypothesis testing. The results are also applied to fixed-length source coding when loosening the normalizing condition for probability distributions and for quantum states. We establish general formulas for several quantities relating to the asymptotic optimality of tests/codes in terms of classical and quantum information spectra