Display options
Cite
Jizba P, Ma Y, Hayes A, et al. One-parameter class of uncertainty relations based on entropy power. Phys Rev E. 2016;93(6):060104doi: 10.1103/PhysRevE.93.060104.
Jizba, P., Ma, Y., Hayes, A., & Dunningham, J. A. (2016). One-parameter class of uncertainty relations based on entropy power. Physical review. E, 93(6), 060104. https://doi.org/10.1103/PhysRevE.93.060104
Jizba, Petr, et al. "One-parameter class of uncertainty relations based on entropy power." Physical review. E vol. 93,6 (2016): 060104. doi: https://doi.org/10.1103/PhysRevE.93.060104
Jizba P, Ma Y, Hayes A, Dunningham JA. One-parameter class of uncertainty relations based on entropy power. Phys Rev E. 2016 Jun;93(6):060104. doi: 10.1103/PhysRevE.93.060104. Epub 2016 Jun 29. PMID: 27415188.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E. 2016 Jun;93(6):060104. doi: 10.1103/PhysRevE.93.060104. Epub 2016 Jun 29.

One-parameter class of uncertainty relations based on entropy power.

Physical review. E

Petr Jizba, Yue Ma, Anthony Hayes, Jacob A Dunningham

Affiliations

  1. FNSPE, Czech Technical University in Prague, B?ehová 7, 115 19 Praha 1, Czech Republic.
  2. ITP, Freie Universität Berlin, Arnimallee 14 D-14195 Berlin, Germany.
  3. Department of Physics, Tsinghua University, Beijing 100084, People's Republic of China.
  4. Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, United Kingdom.

PMID: 27415188 DOI: 10.1103/PhysRevE.93.060104

Abstract

We use the concept of entropy power to derive a one-parameter class of information-theoretic uncertainty relations for pairs of conjugate observables in an infinite-dimensional Hilbert space. This class constitutes an infinite tower of higher-order statistics uncertainty relations, which allows one in principle to determine the shape of the underlying information-distribution function by measuring the relevant entropy powers. We illustrate the capability of this class by discussing two examples: superpositions of vacuum and squeezed states and the Cauchy-type heavy-tailed wave function.

Publication Types