Uncertainty and Quantum Variance at the light of Quantum Information Geometry

被引:0
|
作者
Gibilisco, Paolo [1 ]
机构
[1] Univ Roma Tor Vergata, Dept Econ & Finance, Via Columbia 2, I-00133 Rome, Italy
关键词
Quantum Covariance; Quantum Fisher Information; Metric Adjusted Skew Information; Dynamical Uncertainty Principle; FISHER INFORMATION; COVARIANCE;
D O I
10.1007/s41884-022-00087-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using the Kubo-Ando operator means Denes Petz was able to explain what Quantum Covariance(s) and Quantum Fisher Information(s) are. In this paper the relation between QC and QFI is explained and some of its consequences, notably the Dynamical Uncertainty Principle, are described. Finally some new directions for Classical and Quantum Information Geometry are suggested.
引用
收藏
页码:293 / 302
页数:10
相关论文
共 50 条
  • [1] The uncertainty of quantum channels in terms of variance
    Yuan Sun
    Nan Li
    Quantum Information Processing, 2021, 20
  • [2] The uncertainty of quantum channels in terms of variance
    Sun, Yuan
    Li, Nan
    QUANTUM INFORMATION PROCESSING, 2021, 20 (01)
  • [3] Quantum information theory and geometry of quantum states
    Kus, M
    ACTA PHYSICA POLONICA A, 2001, 100 : 43 - 56
  • [5] Quantum foundations in the light of quantum information
    Fuchs, CA
    DECOHERENCE AND ITS IMPLICATIONS IN QUANTUM COMPUTATION AND INFORMATION TRANSFER, 2001, 182 : 38 - 82
  • [6] Duality in quantum information geometry
    Streater, RF
    OPEN SYSTEMS & INFORMATION DYNAMICS, 2004, 11 (01): : 71 - 77
  • [7] QUANTUM INFORMATION Coping with uncertainty
    Winter, Andreas
    NATURE PHYSICS, 2010, 6 (09) : 640 - 641
  • [8] Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations
    Gibilisco, Paolo
    Hiai, Fumio
    Petz, Denes
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (01) : 439 - 443
  • [9] Uncertainty relations with the variance and the quantum Fisher information based on convex decompositions of density matrices
    Toth, Geza
    Froewis, Florian
    PHYSICAL REVIEW RESEARCH, 2022, 4 (01):
  • [10] Quantum causal histories in the light of quantum information
    Livine, Etera R.
    Terno, Daniel R.
    PHYSICAL REVIEW D, 2007, 75 (08):