A sharp continuity estimate for the von Neumann entropy

被引:175
作者
Audenaert, Koenraad M. R. [1 ]
机构
[1] Univ London Imperial Coll Sci & Technol, Inst Math Sci, London SW7 2PG, England
关键词
D O I
10.1088/1751-8113/40/28/S18
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive an inequality relating the entropy difference between two quantum states to their trace norm distance, sharpening a well-known inequality due to Fannes. In our inequality, equality can be attained for every prescribed value of the trace norm distance.
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页码:8127 / 8136
页数:10
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