Role of information theoretic uncertainty relations in quantum theory

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00231151" target="_blank" >RIV/68407700:21340/15:00231151 - isvavai.cz</a>

Výsledek na webu

<a href="http://ac.els-cdn.com/S0003491615000342/1-s2.0-S0003491615000342-main.pdf?_tid=01020544-4fe1-11e5-99ab-00000aacb360&acdnat=1441026530_b905b986d66adbb314dae69f8cf04a16" target="_blank" >http://ac.els-cdn.com/S0003491615000342/1-s2.0-S0003491615000342-main.pdf?_tid=01020544-4fe1-11e5-99ab-00000aacb360&acdnat=1441026530_b905b986d66adbb314dae69f8cf04a16</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aop.2015.01.031" target="_blank" >10.1016/j.aop.2015.01.031</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Role of information theoretic uncertainty relations in quantum theory

Popis výsledku v původním jazyce

Uncertainty relations based on information theory for both discrete and continuous distribution functions are briefly reviewed. We extend these results to account for (differential) Renyi entropy and its related entropy power. This allows us to find a new class of information-theoretic uncertainty relations (ITURs). The potency of such uncertainty relations in quantum mechanics is illustrated with a simple two-energy-level model where they outperform both the usual Robertson-Schrodinger uncertainty relation and Shannon entropy based uncertainty relation. In the continuous case the ensuing entropy power uncertainty relations are discussed in the context of heavy tailed wave functions and Schrodinger cat states. Again, improvement over both the RobertsonSchrodinger uncertainty principle and Shannon ITUR is demonstrated in these cases. Further salient issues such as the proof of a generalized entropy power inequality and a geometric picture of information-theoretic uncertainty relations

Název v anglickém jazyce

Role of information theoretic uncertainty relations in quantum theory

Popis výsledku anglicky

Uncertainty relations based on information theory for both discrete and continuous distribution functions are briefly reviewed. We extend these results to account for (differential) Renyi entropy and its related entropy power. This allows us to find a new class of information-theoretic uncertainty relations (ITURs). The potency of such uncertainty relations in quantum mechanics is illustrated with a simple two-energy-level model where they outperform both the usual Robertson-Schrodinger uncertainty relation and Shannon entropy based uncertainty relation. In the continuous case the ensuing entropy power uncertainty relations are discussed in the context of heavy tailed wave functions and Schrodinger cat states. Again, improvement over both the RobertsonSchrodinger uncertainty principle and Shannon ITUR is demonstrated in these cases. Further salient issues such as the proof of a generalized entropy power inequality and a geometric picture of information-theoretic uncertainty relations

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA14-07983S" target="_blank" >GA14-07983S: Struktura vakua v kvantově polních teoriích</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Annals of Physics

ISSN

0003-4916

e-ISSN

—

Svazek periodika

355

Číslo periodika v rámci svazku

Apr

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

28

Strana od-do

87-114

Kód UT WoS článku

000353365900007

EID výsledku v databázi Scopus

2-s2.0-84923261054