Measurement of purity, the simplest nonlinear functional of the density matrix

Tohru Tanaka, Hiromichi Nakazato

    Research output: Contribution to journal › Article

    1 Citation (Scopus)

    Abstract

    After reviewing the earlier ideas to measure the purity of a quantum system, a new scheme for the measurement of purity is presented, which aims at providing a simple, direct and efficient procedure without resorting to quantum state tomography. The scheme is also illustrated in the Bloch-vector representation for a two-level quantum system (qubit) and for a general D-level quantum system. As a variant, a simple example implemented in a one-dimensional scattering process to measure the purity of the target qubit is also given.

    Original languageEnglish
    Article number1440009
    JournalOpen Systems and Information Dynamics
    Volume21
    Issue number1-2
    DOIs
    Publication statusPublished - 2014

    Fingerprint

    Density Matrix
    Quantum Systems
    Tomography
    purity
    Scattering
    Qubit
    reviewing
    Quantum State
    tomography
    Target
    scattering

    ASJC Scopus subject areas

    • Mechanics of Materials
    • Computational Mechanics
    • Physical and Theoretical Chemistry
    • Fluid Flow and Transfer Processes
    • Information Systems
    • Mathematical Physics
    • Statistics and Probability
    • Statistical and Nonlinear Physics

    Cite this

    Measurement of purity, the simplest nonlinear functional of the density matrix. / Tanaka, Tohru; Nakazato, Hiromichi.

    In: Open Systems and Information Dynamics, Vol. 21, No. 1-2, 1440009, 2014.

    Research output: Contribution to journal › Article

    Tanaka, T & Nakazato, H 2014, 'Measurement of purity, the simplest nonlinear functional of the density matrix', Open Systems and Information Dynamics, vol. 21, no. 1-2, 1440009. https://doi.org/10.1142/S1230161214400095
    Tanaka T, Nakazato H. Measurement of purity, the simplest nonlinear functional of the density matrix. Open Systems and Information Dynamics. 2014;21(1-2). 1440009. https://doi.org/10.1142/S1230161214400095
    Tanaka, Tohru ; Nakazato, Hiromichi. / Measurement of purity, the simplest nonlinear functional of the density matrix. In: Open Systems and Information Dynamics. 2014 ; Vol. 21, No. 1-2.
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