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Probability-based comparison of quantum states

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F12%3A00080562" target="_blank" >RIV/00216224:14330/12:00080562 - isvavai.cz</a>

  • Result on the web

    <a href="http://link.aps.org/doi/10.1103/PhysRevA.85.062301" target="_blank" >http://link.aps.org/doi/10.1103/PhysRevA.85.062301</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevA.85.062301" target="_blank" >10.1103/PhysRevA.85.062301</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Probability-based comparison of quantum states

  • Original language description

    We address the following state comparison problem: is it possible to design an experiment enabling us to unambiguously decide (based on the observed outcome statistics) on the sameness or difference of two unknown state preparations without revealing complete information about the states? We find that the claim ?the same? can never be concluded without any doubts unless the information is complete. Moreover, we prove that a universal comparison (that perfectly distinguishes all states) also requires complete information about the states. Nevertheless, for some measurements, the probability distribution of outcomes still allows one to make an unambiguous conclusion regarding the difference between the states even in the case of incomplete information. We analyze an efficiency of such a comparison of qudit states when it is based on the swap measurement.

  • 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/GAP202%2F12%2F1142" target="_blank" >GAP202/12/1142: Weak Sources of Entanglement and Randomness</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Physical Review A

  • ISSN

    1050-2947

  • e-ISSN

  • Volume of the periodical

    85

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    11

  • Pages from-to

    062301

  • UT code for WoS article

    000304692200002

  • EID of the result in the Scopus database