Some entropic extensions of the uncertainty principle

@article{Zozor2008SomeEE,
  title={Some entropic extensions of the uncertainty principle},
  author={S. Zozor and M. Portesi},
  journal={2008 IEEE International Symposium on Information Theory},
  year={2008},
  pages={1676-1680}
}
  • S. Zozor, M. Portesi
  • Published 2008
  • Mathematics, Computer Science
  • 2008 IEEE International Symposium on Information Theory
  • In connection with the uncertainty principle in quantum mechanics (Heisenberg) or in time-frequency analysis (Heisenberg-Gabor), we study its formulation in terms of entropic inequalities, extending results recently derived by Bialynicki-Birula and Zozor et al.. These results can be considered as generalizations of the Heisenberg inequalities in the sense that they measure the mutual uncertainty of a random variable (or wave function) and its conjugated random variable (or Fourier transformed… CONTINUE READING

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