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.

引用

页数：16

共 39 条

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