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
收藏
页数：16
相关论文
共 50 条
  • [1] Enhanced quantum channel uncertainty relations by skew information
    Xiaoli Hu
    Naihong Hu
    Bing Yu
    Naihuan Jing
    Quantum Information Processing, 22
  • [2] Uncertainty relations based on skew information with quantum memory
    Zhi Hao Ma
    Zhi Hua Chen
    Shao-Ming Fei
    Science China(Physics,Mechanics & Astronomy), 2017, (01) : 68 - 70
  • [3] Uncertainty relations based on skew information with quantum memory
    ZhiHao Ma
    ZhiHua Chen
    Shao-Ming Fei
    Science China Physics, Mechanics & Astronomy, 2017, 60
  • [4] Uncertainty relations based on skew information with quantum memory
    Ma, ZhiHao
    Chen, ZhiHua
    Fei, Shao-Ming
    SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2017, 60 (01)
  • [5] Skew information-based uncertainty relations for quantum channels
    Fu, Shuangshuang
    Sun, Yuan
    Luo, Shunlong
    QUANTUM INFORMATION PROCESSING, 2019, 18 (08)
  • [6] Skew information-based uncertainty relations for quantum channels
    Shuangshuang Fu
    Yuan Sun
    Shunlong Luo
    Quantum Information Processing, 2019, 18
  • [7] Wigner–Yanase skew information-based uncertainty relations for quantum channels
    Qing-Hua Zhang
    Shao-Ming Fei
    The European Physical Journal Plus, 139
  • [8] Wigner-Yanase skew information-based uncertainty relations for quantum channels
    Zhang, Qing-Hua
    Fei, Shao-Ming
    EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (02):
  • [9] The quantum uncertainty relation for skew information of coherence
    Zhao, Ming-Jing
    Cui, Jie
    Sun, Yuan
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (44)
  • [10] Wigner-Yanase skew information and uncertainty relations
    Luo, SL
    PHYSICAL REVIEW LETTERS, 2003, 91 (18)
12345