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Optimal probabilistic cloning and purification of quantum states

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F04%3A00002365" target="_blank" >RIV/61989592:15310/04:00002365 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Optimal probabilistic cloning and purification of quantum states

  • Original language description

    We investigate the probabilistic cloning and purification of quantum states. The performance of these probabilistic operations is quantified by the average fidelity between the ideal and actual output states. We provide a simple formula for the maximal achievable average fidelity and we explicitly show how to construct a probabilistic operation that achieves this fidelity. We illustrate our method on several examples such as the phase covariant cloning of qubits, cloning of coherent states, and purification of qubits transmitted via depolarizing channel and amplitude damping channel. Our examples reveal that the probabilistic cloner may yield higher fidelity than the best deterministic cloner even when the states that should be cloned are linearly dependent and are drawn from a continuous set.

  • Czech name

    Optimální pravděpodobnostní kopírování a purifikace kvantových stavů

  • Czech description

    Vyšetřujeme optimální pravděpodobnostní kopírování a purifikace kvantových stavů.

Classification

  • Type

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

  • CEP classification

    BH - Optics, masers and lasers

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LN00A015" target="_blank" >LN00A015: Research center for optics</a><br>

  • Continuities

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

Others

  • Publication year

    2004

  • 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

    70

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    4

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database