New class of entropy-power-based uncertainty relations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00318241" target="_blank" >RIV/68407700:21340/17:00318241 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1742-6596/880/1/012054" target="_blank" >http://dx.doi.org/10.1088/1742-6596/880/1/012054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/880/1/012054" target="_blank" >10.1088/1742-6596/880/1/012054</a>

Result language
angličtina
Original language name
New class of entropy-power-based uncertainty relations
Original language description
We use the concept of entropy power to introduce a new one-parameter class of information-theoretic uncertainty relations. This class constitutes an infinite hierarchy of uncertainty relations, which allows to determine the shape of the underlying information distribution function by measuring the relevant entropy powers. The efficiency of such uncertainty relations in quantum mechanics is illustrated with two examples: superpositions of two squeezed states and the Levy-type heavy-tailed wave function. Improvement over both the variance-based and Shannon entropy based uncertainty relations is demonstrated in both these cases.
Czech name
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Czech description
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Project
<a href="/en/project/GF17-33812L" target="_blank" >GF17-33812L: An information-theoretical perspective on complex systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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