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
  • [31] Sum uncertainty relations based on metric-adjusted skew information
    Liang Cai
    Quantum Information Processing, 2021, 20
  • [32] Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States
    Wenxin Li
    Pan Lian
    Yuxia Liang
    Advances in Applied Clifford Algebras, 2022, 32
  • [33] Tighter uncertainty relations based on (α,β,γ) modified weighted Wigner-Yanase-Dyson skew information of quantum channels
    Xu, Cong
    Wu, Zhaoqi
    Fei, Shao-Ming
    LASER PHYSICS LETTERS, 2022, 19 (10)
  • [34] Two generalized Wigner-Yanase skew information and their uncertainty relations
    Chen, Zheng-Li
    Liang, Li-Li
    Li, Hao-Jing
    Wang, Wen-Hua
    QUANTUM INFORMATION PROCESSING, 2016, 15 (12) : 5107 - 5118
  • [35] Entropic uncertainty relations for quantum information scrambling
    Halpern, Nicole Yunger
    Bartolotta, Anthony
    Pollack, Jason
    COMMUNICATIONS PHYSICS, 2019, 2
  • [36] Some applications of uncertainty relations in quantum information
    Majumdar, A. S.
    Pramanik, T.
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2016, 14 (06)
  • [37] Entropic uncertainty relations for quantum information scrambling
    Nicole Yunger Halpern
    Anthony Bartolotta
    Jason Pollack
    Communications Physics, 2
  • [38] Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information
    Wu, Zhaoqi
    Zhang, Lin
    Wang, Jianhui
    Li-Jost, Xianqing
    Fei, Shao-Ming
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2020, 59 (03) : 704 - 718
  • [39] Uncertainty relations for metric adjusted skew information and Cauchy-Schwarz inequality
    Hu, Xiaoli
    Jing, Naihuan
    LASER PHYSICS LETTERS, 2023, 20 (08)
  • [40] Tighter sum uncertainty relations via metric-adjusted skew information
    Li, Hui
    Gao, Ting
    Yan, Fengli
    PHYSICA SCRIPTA, 2023, 98 (01)
12345