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

Identifikátory výsledku

  • Kód výsledku v 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>

  • Výsledek na webu

    <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>

Alternativní jazyky

  • Jazyk výsledku

    angličtina

  • Název v původním jazyce

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

  • Popis výsledku v původním jazyce

    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.

  • Název v anglickém jazyce

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

  • Popis výsledku anglicky

    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.

Klasifikace

  • Druh

    J<sub>imp</sub> - Článek v periodiku v databázi Web of Science

  • CEP obor

  • OECD FORD obor

    10306 - Optics (including laser optics and quantum optics)

Návaznosti výsledku

  • Projekt

    Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

  • Návaznosti

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

Ostatní

  • Rok uplatnění

    2022

  • Kód důvěrnosti údajů

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

Údaje specifické pro druh výsledku

  • Název periodika

    Quantum Information Processing

  • ISSN

    1570-0755

  • e-ISSN

    1573-1332

  • Svazek periodika

    21

  • Číslo periodika v rámci svazku

    2

  • Stát vydavatele periodika

    US - Spojené státy americké

  • Počet stran výsledku

    27

  • Strana od-do

    "70-1"-"70-27"

  • Kód UT WoS článku

    000746616500001

  • EID výsledku v databázi Scopus

    2-s2.0-85123597717