One-parameter class of uncertainty relations based on entropy power
Status PubMed-not-MEDLINE Language English Country United States Media print-electronic
Document type Journal Article, Research Support, Non-U.S. Gov't
- Publication type
- Journal Article MeSH
- Research Support, Non-U.S. Gov't MeSH
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.
Department of Physics and Astronomy University of Sussex Brighton BN1 9QH United Kingdom
Department of Physics Tsinghua University Beijing 100084 People's Republic of China
FNSPE Czech Technical University Prague Břehová 7 115 19 Praha 1 Czech Republic
ITP Freie Universität Berlin Arnimallee 14 D 14195 Berlin Germany
References provided by Crossref.org
Causal Inference in Time Series in Terms of Rényi Transfer Entropy
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