A Holevo-Type Bound for a Hilbert Schmidt Distance Measure

• 作者: Boaz Tamir Eliahu Cohen
• 来源期刊: 量子信息科学期刊(英文)
• 学科: 数学
• 关键词: Holevo BOUND Hilbert-Schmidt NORM ENTANGLEMENT Measures
• 年，卷（期）: 2015,（4）
• 页码范围: 127-133
• 页数: 7页
• 分类号: O1

摘要

We prove a new version of the Holevo bound employing the Hilbert-Schmidt norm instead of the Kullback-Leibler divergence. Suppose Alice is sending classical information to Bob by using a quantum channel while Bob is performing some projective measurements. We bound the classical mutual information in terms of the Hilbert-Schmidt norm by its quantum Hilbert-Schmidt counterpart. This constitutes a Holevo-type upper bound on the classical information transmission rate via a quantum channel. The resulting inequality is rather natural and intuitive relating classical and quantum expressions using the same measure.