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
  • [41] Tighter sum uncertainty relations based on metric-adjusted skew information
    Ren, Ruonan
    Li, Ping
    Ye, Mingfei
    Li, Yongming
    PHYSICAL REVIEW A, 2021, 104 (05)
  • [42] Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information
    Zhaoqi Wu
    Lin Zhang
    Jianhui Wang
    Xianqing Li-Jost
    Shao-Ming Fei
    International Journal of Theoretical Physics, 2020, 59 : 704 - 718
  • [43] Wigner-Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States
    Li, Wenxin
    Lian, Pan
    Liang, Yuxia
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2022, 32 (05)
  • [44] Product and sum uncertainty relations based on metric-adjusted skew information
    Ma, Xiaoyu
    Zhang, Qing-Hua
    Fei, Shao-Ming
    LASER PHYSICS LETTERS, 2022, 19 (05)
  • [45] SKEW INFORMATION AND UNCERTAINTY RELATION
    Furuichi, Shigeru
    Yanagi, Kenjiro
    QUANTUM BIO-INFORMATICS V, 2013, 30 : 159 - 170
  • [46] Improving sum uncertainty relations with the quantum Fisher information
    Chiew, Shao-Hen
    Gessner, Manuel
    PHYSICAL REVIEW RESEARCH, 2022, 4 (01):
  • [47] Role of information theoretic uncertainty relations in quantum theory
    Jizba, Petr
    Dunningham, Jacob A.
    Joo, Jaewoo
    ANNALS OF PHYSICS, 2015, 355 : 87 - 114
  • [48] Quantum-state disturbance versus information gain: Uncertainty relations for quantum information
    Fuchs, CA
    Peres, A
    PHYSICAL REVIEW A, 1996, 53 (04): : 2038 - 2045
  • [49] Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel
    Zhang, Fugang
    Li, Yongming
    CHINESE PHYSICS B, 2018, 27 (09)
  • [50] A note on Wigner–Yanase skew information-based uncertainty of quantum channels
    Qing-Hua Zhang
    Jing-Feng Wu
    Shao-Ming Fei
    Quantum Information Processing, 22
12345