Enhanced quantum channel uncertainty relations by skew information

被引：1
|
作者：
Hu, Xiaoli [1 ]
Hu, Naihong [2 ,3 ]
Yu, Bing [4 ]
Jing, Naihuan [5 ]
机构：
[1] Jianghan Univ, Sch Artificial Intelligence, Wuhan 430056, Peoples R China
[2] East China Normal Univ, Key Lab Math & Engn Applicat, Sch Math Sci, MOE, Shanghai 200241, Peoples R China
[3] East China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
[4] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Peoples R China
[5] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
QUANTUM INFORMATION PROCESSING | 2023年 / 22卷 / 10期
关键词：
Uncertainty relation; Quantum channel; Skew information;
D O I：
10.1007/s11128-023-04113-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertainty relation, and a sampling technique of observables' coordinates is used to offset randomness in the inequality. It is shown that the lower bounds of the uncertainty relations are tighter than some previous studies.
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收藏
页数：16
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