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Two-qubit mixed states more entangled than pure states: Comparison of the relative entropy of entanglement for a given nonlocality

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145388" target="_blank" >RIV/61989592:15310/13:33145388 - isvavai.cz</a>

  • Result on the web

    <a href="http://pra.aps.org/pdf/PRA/v87/i4/e042108" target="_blank" >http://pra.aps.org/pdf/PRA/v87/i4/e042108</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevA.87.042108" target="_blank" >10.1103/PhysRevA.87.042108</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Two-qubit mixed states more entangled than pure states: Comparison of the relative entropy of entanglement for a given nonlocality

  • Original language description

    Amplitude damping changes entangled pure states into usually less-entangled mixed states. We show, however, that even local amplitude damping of one or two qubits can result in mixed states more entangled than pure states if one compares the relative entropy of entanglement (REE) for a given degree of the Bell-Clauser-Horne-Shimony-Holt inequality violation (referred to as nonlocality). By applying Monte Carlo simulations, we find the maximally entangled mixed states and show that they are likely to beoptimal by checking the Karush-Kuhn-Tucker conditions, which generalize the method of Lagrange multipliers for this nonlinear optimization problem. We show that the REE for mixed states can exceed that of pure states if the nonlocality is in the range (0,0.82) and the maximal difference between these REEs is 0.4. A former comparison [Phys. Rev. A 78, 052308 (2008)] of the REE for a given negativity showed analogous property but the corresponding maximal difference in the REEs is one orde

  • Czech name

  • Czech description

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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

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

Others

  • Publication year

    2013

  • 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

    87

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    9

  • Pages from-to

    "042108-1"-"042108-9"

  • UT code for WoS article

    000317585800002

  • EID of the result in the Scopus database