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Reading-Out a Quantum State: An Analysis of the Quantum Measurement Process

In: Macroscopic Quantum Coherence and Quantum Computing

Author

Listed:
  • Yu. Makhlin

    (Universität Karlsruhe, Institut für Theoretische Festkörperphysik
    Landau Institute for Theoretical Physics)

  • G. Schön

    (Universität Karlsruhe, Institut für Theoretische Festkörperphysik
    Forschungszentrum Karlsruhe, Institut für Nanotechnologie)

  • A. Shnirman

    (Universität Karlsruhe, Institut für Theoretische Festkörperphysik)

Abstract

We analyze the quantum measurement process in mesoscopic systems, using the example of a Cooper-pair box (an effective two-state quantum system) observed by a single-electron transistor. To study this process we investigate the time evolution of the density matrix of the coupled system of qubit and meter. This evolution is characterized by three time scales. On a fast dephasing time scale the meter destroys the phase coherence of the qubit. After a longer time the resolution becomes sufficient to deduce the information about the initial quantum state from the output signal, the current in the SET. On a third, mixing time scale the measurement-induced transitions between qubit’s states destroy the information about their initial occupations. We study the statistics of current and demonstrate that these time scales appear in its noise spectrum.

Suggested Citation

  • Yu. Makhlin & G. Schön & A. Shnirman, 2001. "Reading-Out a Quantum State: An Analysis of the Quantum Measurement Process," Springer Books, in: Dmitri V. Averin & Berardo Ruggiero & Paolo Silvestrini (ed.), Macroscopic Quantum Coherence and Quantum Computing, pages 261-270, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-1245-5_27
    DOI: 10.1007/978-1-4615-1245-5_27
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