• Computer Science
  • Published in
    Int. J. Software and…
    2014

Fisher Information and Means: Some Questions in the Classical and Quantum Settings

@article{Gibilisco2014FisherIA,
  title={Fisher Information and Means: Some Questions in the Classical and Quantum Settings},
  author={Paolo Gibilisco},
  journal={Int. J. Software and Informatics},
  year={2014},
  volume={8},
  pages={265-276}
}
The algebraic and geometric properties of Fisher information, its relations with the theory of operator means have been very active fields in the last decades. In this paper I try to shed some light on recent results and to address some open questions which could in principle give some new directions to the field. 

Tables and Topics from this paper.

Explore Further: Topics Discussed in This Paper

Citations

Publications citing this paper.

Quantum Uncertainty Based on Metric Adjusted Skew Information

VIEW 4 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

References

Publications referenced by this paper.
SHOWING 1-10 OF 19 REFERENCES

Extensions of Rao’s inequality for the harmonic mean of

P Gibilisco, F. Hansen
  • Jour . Ineq . Pure Appl . Math .
  • 2014
VIEW 1 EXCERPT

General versions of the information inequalities of van Trees and of Stam. Communications at the Conference, Information Geometry and its Applications III. University of Leipzig

P. Jupp
  • Journal of Software and Informatics,
  • 2010
VIEW 1 EXCERPT

Stam inequality on Z n

P Gibilisco, D Imparato, T Isola
  • Lond . Math . Soc .
  • 2010