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Attainable and usable coherence in X states over Markovian and non-Markovian channels

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73613691" target="_blank" >RIV/61989592:15310/22:73613691 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/content/pdf/10.1007/s11128-021-03408-2.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007/s11128-021-03408-2.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11128-021-03408-2" target="_blank" >10.1007/s11128-021-03408-2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Attainable and usable coherence in X states over Markovian and non-Markovian channels

  • Original language description

    The relations between the resource theoretic measures of quantum coherence are rigorously investigated for various Markovian and non-Markovian channels for the two-qubit X states with specific attention to the maximum and minimum attainable coherence and usefulness of these states in performing quantum teleportation in noisy environment. The investigation has revealed that under both dephasing and dissipative type noises the maximally entangled mixed states andWerner states lose their form and usefulness. However, maximally non-local mixed states (MNMSs) lose their identity in dissipative noise only. Thus, MNMSs are established to be useful in teleporting a qubit with fidelity greater than the classical limit in the presence of dephasing noise. MNMSs also remain useful for device independent quantum key distribution in this case as they still violate Bell&apos;s inequality. In the presence of noise, coherence measured by relative entropy of coherence is found to fall faster than the same measured using l(1) norm of coherence. Further, information back-flow from the environment to the system is observed over non-Markovian channels which leads to revival in coherence. Additionally, sequential interaction of two qubits with the same environment is found to result in correlated noise on both qubits, and coherence is observed to be frozen in this case under dephasing channel. Under the effect of Markovian and non-Markovian dephasing channels studied here, we observed that MNMSs have maximum relative coherence, i.e. they have the maximum amount of l(1) norm of coherence among the states with the same amount of relative entropy of coherence. However, this feature is not visible in any X state evolving over dissipative channels.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10306 - Optics (including laser optics and quantum optics)

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

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Quantum Information Processing

  • ISSN

    1570-0755

  • e-ISSN

    1573-1332

  • Volume of the periodical

    21

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    27

  • Pages from-to

    "70-1"-"70-27"

  • UT code for WoS article

    000746616500001

  • EID of the result in the Scopus database

    2-s2.0-85123597717