A Matrix Version of Law of Large Numbers and Its Relation to Quantum Hypothesis Testing

摘要：

We show an asymptotic characterization of the quantum relative entropy, whose classical counterpart is a direct consequence of the law of large numbers, and discuss its relation to the quantum version of Steins lemma for a hypothesis testing problem on quantum states. This characterization is expected to play an essential role to understand several asymptotics in quantum information theory in a unified manner.

作者: Hiroshi Nagaoka

作者单位: Graduate School of Information Systems University of Electro-Communications 1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, Japan

会议类型: 国际会议

会议名称: 第一届信号设计及其在通信中的应用国际会议(The First International Workshop on Sequence Design and Applications for CDMA Systems IWSDA2001)

会议地点: 成都

会议语种:英文

页码: 214-217

在线出版日期: 2001-09-01（万方平台首次上网日期，不代表论文的发表时间）