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Exponential Sensitivity and its Cost in Quantum Physics

The result's identifiers

  • 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>

Alternative languages

  • 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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • 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)

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Scientific Reports

  • ISSN

    2045-2322

  • e-ISSN

  • 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

  • UT code for WoS article

    000369825100001

  • EID of the result in the Scopus database

    2-s2.0-84957561775