Information Divergence and Distance Measures for Quantum States

被引:0
|
作者
Nan Jiang
Zhaozhi Zhang
机构
[1] Beijing University of Technology,College of Computer
[2] Institute of Systems Science,undefined
[3] Academy of Mathematics and Systems Science,undefined
[4] Chinese Academy of Sciences,undefined
来源
International Journal of Theoretical Physics | 2015年 / 54卷
关键词
Density operator; Quantum cryptography; Jensen-Shannon information divergence; Arithmetic-geometric information divergence; Quantum unified (; )-entropy;
D O I
暂无
中图分类号
学科分类号
摘要
Both information divergence and distance are measures of closeness of two quantum states which are widely used in the theory of information processing and quantum cryptography. For example, the quantum relative entropy and trace distance are well known. Here we introduce a number of new quantum information divergence and distance measures into the literature and discuss their relations and properties. We also propose a method to analyze the properties and relations of various distance and pseudo-distance measures.
引用
收藏
页码:689 / 698
页数:9
相关论文
共 50 条
  • [1] Information Divergence and Distance Measures for Quantum States
    Jiang, Nan
    Zhang, Zhaozhi
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2015, 54 (02) : 689 - 698
  • [2] Fidelity induced distance measures for quantum states
    Ma, Zhihao
    Zhang, Fu-Lin
    Chen, Jing-Ling
    PHYSICS LETTERS A, 2009, 373 (38) : 3407 - 3409
  • [3] Information and Divergence Measures
    Karagrigoriou, Alex
    Makrides, Andreas
    ENTROPY, 2023, 25 (04)
  • [4] Amplifying Inter-Message Distance: On Information Divergence Measures in Big Data
    She, Rui
    Liu, Shanyun
    Fan, Pingyi
    IEEE ACCESS, 2017, 5 : 24105 - 24119
  • [5] DIVERGENCE AND BHATTACHARYYA DISTANCE MEASURES IN SIGNAL SELECTION
    KAILATH, T
    IEEE TRANSACTIONS ON COMMUNICATION TECHNOLOGY, 1967, CO15 (01): : 52 - &
  • [7] Entropy, divergence and distance measures with econometric applications
    Ullah, A
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1996, 49 (01) : 137 - 162
  • [8] On Information Divergence Measures and a Unified Typicality
    Ho, Siu-Wai
    Yeung, Raymond W.
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (12) : 5893 - 5905
  • [9] Relative divergence measures and information inequalities
    Taneja, Inder Jeet
    INEQUALITY THEORY AND APPLICATIONS, VOL 5, 2007, 5 : 145 - 168
  • [10] On information divergence measures and a unified typicality
    Ho, Siu-Wai
    Yeung, Raymond W.
    2006 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1-6, PROCEEDINGS, 2006, : 113 - +