Exponential Sensitivity and its Cost in Quantum Physics

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Exponential Sensitivity and its Cost in Quantum Physics

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/GA13-33906S" target="_blank" >GA13-33906S: Harnessing the Power of Quantum Walks</a><br>

Continuities

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

Publication year

2016

Confidentiality

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

Name of the periodical

Scientific Reports

ISSN

2045-2322

e-ISSN

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Volume of the periodical

6

Issue of the periodical within the volume

Feb

Country of publishing house

GB - UNITED KINGDOM

Number of pages

10

Pages from-to

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UT code for WoS article

000369825100001

EID of the result in the Scopus database

2-s2.0-84957561775