Oscillations of the purity in the repeated-measurement-based generation of quantum states

B. Militello, Kazuya Yuasa, Hiromichi Nakazato, A. Messina

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    Repeated observations of a quantum system interacting with another one can drive the latter toward a particular quantum state, irrespective of its initial condition, because of an effective nonunitary evolution. If the target state is a pure one, the degree of purity of the system approaches unity, even when the initial condition of the system is a mixed state. In this paper we study the behavior of the purity from the initial value to the final one, that is, unity. Depending on the parameters, after a finite number of measurements, the purity exhibits oscillations that brings about a lower purity than that of the initial state, which is a point to be taken care of in concrete applications.

    Original languageEnglish
    Article number042109
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume77
    Issue number4
    DOIs
    Publication statusPublished - 2008 Apr 16

    Fingerprint

    purity
    oscillations
    unity

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • Physics and Astronomy(all)

    Cite this

    Oscillations of the purity in the repeated-measurement-based generation of quantum states. / Militello, B.; Yuasa, Kazuya; Nakazato, Hiromichi; Messina, A.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 77, No. 4, 042109, 16.04.2008.

    Research output: Contribution to journalArticle

    @article{bae4e08cf63b48fdbb5f1c87cdc26e53,
    title = "Oscillations of the purity in the repeated-measurement-based generation of quantum states",
    abstract = "Repeated observations of a quantum system interacting with another one can drive the latter toward a particular quantum state, irrespective of its initial condition, because of an effective nonunitary evolution. If the target state is a pure one, the degree of purity of the system approaches unity, even when the initial condition of the system is a mixed state. In this paper we study the behavior of the purity from the initial value to the final one, that is, unity. Depending on the parameters, after a finite number of measurements, the purity exhibits oscillations that brings about a lower purity than that of the initial state, which is a point to be taken care of in concrete applications.",
    author = "B. Militello and Kazuya Yuasa and Hiromichi Nakazato and A. Messina",
    year = "2008",
    month = "4",
    day = "16",
    doi = "10.1103/PhysRevA.77.042109",
    language = "English",
    volume = "77",
    journal = "Physical Review A",
    issn = "2469-9926",
    publisher = "American Physical Society",
    number = "4",

    }

    TY - JOUR

    T1 - Oscillations of the purity in the repeated-measurement-based generation of quantum states

    AU - Militello, B.

    AU - Yuasa, Kazuya

    AU - Nakazato, Hiromichi

    AU - Messina, A.

    PY - 2008/4/16

    Y1 - 2008/4/16

    N2 - Repeated observations of a quantum system interacting with another one can drive the latter toward a particular quantum state, irrespective of its initial condition, because of an effective nonunitary evolution. If the target state is a pure one, the degree of purity of the system approaches unity, even when the initial condition of the system is a mixed state. In this paper we study the behavior of the purity from the initial value to the final one, that is, unity. Depending on the parameters, after a finite number of measurements, the purity exhibits oscillations that brings about a lower purity than that of the initial state, which is a point to be taken care of in concrete applications.

    AB - Repeated observations of a quantum system interacting with another one can drive the latter toward a particular quantum state, irrespective of its initial condition, because of an effective nonunitary evolution. If the target state is a pure one, the degree of purity of the system approaches unity, even when the initial condition of the system is a mixed state. In this paper we study the behavior of the purity from the initial value to the final one, that is, unity. Depending on the parameters, after a finite number of measurements, the purity exhibits oscillations that brings about a lower purity than that of the initial state, which is a point to be taken care of in concrete applications.

    UR - http://www.scopus.com/inward/record.url?scp=42349100896&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=42349100896&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevA.77.042109

    DO - 10.1103/PhysRevA.77.042109

    M3 - Article

    AN - SCOPUS:42349100896

    VL - 77

    JO - Physical Review A

    JF - Physical Review A

    SN - 2469-9926

    IS - 4

    M1 - 042109

    ER -