Single-point position and transition defects in continuous time quantum walks

Z.J. Li, Jingbo Wang

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    We present a detailed analysis of continuous time quantum walks (CTQW) with both position and transition defects defined at a single point in the line. Analytical solutions of both traveling waves and bound states are obtained, which provide valuable insight into the dynamics of CTQW. The number of bound states is found to be critically dependent on the defect parameters, and the localized probability peaks can be readily obtained by projecting the state vector of CTQW on to these bound states. The interference between two bound states are also observed in the case of a transition defect. The spreading of CTQW probability over the line can be finely tuned by varying the position and transition defect parameters, offering the possibility of precision quantum control of the system.
    Original languageEnglish
    Pages (from-to)1-11
    JournalScientific Reports
    Volume5
    DOIs
    Publication statusPublished - 2015

    Fingerprint

    defects
    state vectors
    traveling waves
    interference

    Cite this

    @article{443a6cedfe5f459f9da2029fe156159e,
    title = "Single-point position and transition defects in continuous time quantum walks",
    abstract = "We present a detailed analysis of continuous time quantum walks (CTQW) with both position and transition defects defined at a single point in the line. Analytical solutions of both traveling waves and bound states are obtained, which provide valuable insight into the dynamics of CTQW. The number of bound states is found to be critically dependent on the defect parameters, and the localized probability peaks can be readily obtained by projecting the state vector of CTQW on to these bound states. The interference between two bound states are also observed in the case of a transition defect. The spreading of CTQW probability over the line can be finely tuned by varying the position and transition defect parameters, offering the possibility of precision quantum control of the system.",
    author = "Z.J. Li and Jingbo Wang",
    year = "2015",
    doi = "10.1038/srep13585",
    language = "English",
    volume = "5",
    pages = "1--11",
    journal = "Scientific Reports",
    issn = "2045-2322",
    publisher = "Nature Publishing Group - Macmillan Publishers",

    }

    Single-point position and transition defects in continuous time quantum walks. / Li, Z.J.; Wang, Jingbo.

    In: Scientific Reports, Vol. 5, 2015, p. 1-11.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Single-point position and transition defects in continuous time quantum walks

    AU - Li, Z.J.

    AU - Wang, Jingbo

    PY - 2015

    Y1 - 2015

    N2 - We present a detailed analysis of continuous time quantum walks (CTQW) with both position and transition defects defined at a single point in the line. Analytical solutions of both traveling waves and bound states are obtained, which provide valuable insight into the dynamics of CTQW. The number of bound states is found to be critically dependent on the defect parameters, and the localized probability peaks can be readily obtained by projecting the state vector of CTQW on to these bound states. The interference between two bound states are also observed in the case of a transition defect. The spreading of CTQW probability over the line can be finely tuned by varying the position and transition defect parameters, offering the possibility of precision quantum control of the system.

    AB - We present a detailed analysis of continuous time quantum walks (CTQW) with both position and transition defects defined at a single point in the line. Analytical solutions of both traveling waves and bound states are obtained, which provide valuable insight into the dynamics of CTQW. The number of bound states is found to be critically dependent on the defect parameters, and the localized probability peaks can be readily obtained by projecting the state vector of CTQW on to these bound states. The interference between two bound states are also observed in the case of a transition defect. The spreading of CTQW probability over the line can be finely tuned by varying the position and transition defect parameters, offering the possibility of precision quantum control of the system.

    U2 - 10.1038/srep13585

    DO - 10.1038/srep13585

    M3 - Article

    VL - 5

    SP - 1

    EP - 11

    JO - Scientific Reports

    JF - Scientific Reports

    SN - 2045-2322

    ER -