Exponential Sensitivity and its Cost in Quantum Physics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00306770" target="_blank" >RIV/68407700:21340/16:00306770 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1038/srep20076" target="_blank" >http://dx.doi.org/10.1038/srep20076</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1038/srep20076" target="_blank" >10.1038/srep20076</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Exponential Sensitivity and its Cost in Quantum Physics

Popis výsledku v původním jazyce

State selective protocols, like entanglement purification, lead to an essentially non-linear quantum evolution, unusual in naturally occurring quantum processes. Sensitivity to initial states in quantum systems, stemming from such non-linear dynamics, is a promising perspective for applications. Here we demonstrate that chaotic behaviour is a rather generic feature in state selective protocols: exponential sensitivity can exist for all initial states in an experimentally realisable optical scheme. Moreover, any complex rational polynomial map, including the example of the Mandelbrot set, can be directly realised. In state selective protocols, one needs an ensemble of initial states, the size of which decreases with each iteration. We prove that exponential sensitivity to initial states in any quantum system has to be related to downsizing the initial ensemble also exponentially. Our results show that magnifying initial differences of quantum states (a Schrodinger microscope) is possible; however, there is a strict bound on the number of copies needed.

Název v anglickém jazyce

Exponential Sensitivity and its Cost in Quantum Physics

Popis výsledku anglicky

State selective protocols, like entanglement purification, lead to an essentially non-linear quantum evolution, unusual in naturally occurring quantum processes. Sensitivity to initial states in quantum systems, stemming from such non-linear dynamics, is a promising perspective for applications. Here we demonstrate that chaotic behaviour is a rather generic feature in state selective protocols: exponential sensitivity can exist for all initial states in an experimentally realisable optical scheme. Moreover, any complex rational polynomial map, including the example of the Mandelbrot set, can be directly realised. In state selective protocols, one needs an ensemble of initial states, the size of which decreases with each iteration. We prove that exponential sensitivity to initial states in any quantum system has to be related to downsizing the initial ensemble also exponentially. Our results show that magnifying initial differences of quantum states (a Schrodinger microscope) is possible; however, there is a strict bound on the number of copies needed.

Druh

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

CEP obor

BE - Teoretická fyzika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA13-33906S" target="_blank" >GA13-33906S: Využití potenciálu kvantových procházek</a><br>

Návaznosti

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

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Scientific Reports

ISSN

2045-2322

e-ISSN

—

Svazek periodika

6

Číslo periodika v rámci svazku

Feb

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

10

Strana od-do

—

Kód UT WoS článku

000369825100001

EID výsledku v databázi Scopus

2-s2.0-84957561775