Determining eigenvalues of a density matrix with minimal information in a single experimental setting

Tohru Tanaka, Yukihiro Ota, Mitsunori Kanazawa, Gen Kimura, Hiromichi Nakazato, Franco Nori

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    Eigenvalues of a density matrix characterize well the quantum state's properties, such as coherence and entanglement. We propose a simple method to determine all the eigenvalues of an unknown density matrix of a finite-dimensional system in a single experimental setting. Without fully reconstructing a quantum state, eigenvalues are determined with the minimal number of parameters obtained by a measurement of a single observable. Moreover, its implementation is illustrated in linear optical and superconducting systems.

    Original languageEnglish
    Article number012117
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume89
    Issue number1
    DOIs
    Publication statusPublished - 2014 Jan 21

    Fingerprint

    eigenvalues

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Determining eigenvalues of a density matrix with minimal information in a single experimental setting. / Tanaka, Tohru; Ota, Yukihiro; Kanazawa, Mitsunori; Kimura, Gen; Nakazato, Hiromichi; Nori, Franco.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 89, No. 1, 012117, 21.01.2014.

    Research output: Contribution to journalArticle

    @article{bdfe5b2b46cc4b8989796a148b2ded60,
    title = "Determining eigenvalues of a density matrix with minimal information in a single experimental setting",
    abstract = "Eigenvalues of a density matrix characterize well the quantum state's properties, such as coherence and entanglement. We propose a simple method to determine all the eigenvalues of an unknown density matrix of a finite-dimensional system in a single experimental setting. Without fully reconstructing a quantum state, eigenvalues are determined with the minimal number of parameters obtained by a measurement of a single observable. Moreover, its implementation is illustrated in linear optical and superconducting systems.",
    author = "Tohru Tanaka and Yukihiro Ota and Mitsunori Kanazawa and Gen Kimura and Hiromichi Nakazato and Franco Nori",
    year = "2014",
    month = "1",
    day = "21",
    doi = "10.1103/PhysRevA.89.012117",
    language = "English",
    volume = "89",
    journal = "Physical Review A",
    issn = "2469-9926",
    publisher = "American Physical Society",
    number = "1",

    }

    TY - JOUR

    T1 - Determining eigenvalues of a density matrix with minimal information in a single experimental setting

    AU - Tanaka, Tohru

    AU - Ota, Yukihiro

    AU - Kanazawa, Mitsunori

    AU - Kimura, Gen

    AU - Nakazato, Hiromichi

    AU - Nori, Franco

    PY - 2014/1/21

    Y1 - 2014/1/21

    N2 - Eigenvalues of a density matrix characterize well the quantum state's properties, such as coherence and entanglement. We propose a simple method to determine all the eigenvalues of an unknown density matrix of a finite-dimensional system in a single experimental setting. Without fully reconstructing a quantum state, eigenvalues are determined with the minimal number of parameters obtained by a measurement of a single observable. Moreover, its implementation is illustrated in linear optical and superconducting systems.

    AB - Eigenvalues of a density matrix characterize well the quantum state's properties, such as coherence and entanglement. We propose a simple method to determine all the eigenvalues of an unknown density matrix of a finite-dimensional system in a single experimental setting. Without fully reconstructing a quantum state, eigenvalues are determined with the minimal number of parameters obtained by a measurement of a single observable. Moreover, its implementation is illustrated in linear optical and superconducting systems.

    UR - http://www.scopus.com/inward/record.url?scp=84894470578&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84894470578&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevA.89.012117

    DO - 10.1103/PhysRevA.89.012117

    M3 - Article

    VL - 89

    JO - Physical Review A

    JF - Physical Review A

    SN - 2469-9926

    IS - 1

    M1 - 012117

    ER -