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

Yu. Makhlin (), G. Schön () and A. Shnirman ()
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Yu. Makhlin: Universität Karlsruhe, Institut für Theoretische Festkörperphysik
G. Schön: Universität Karlsruhe, Institut für Theoretische Festkörperphysik
A. Shnirman: Universität Karlsruhe, Institut für Theoretische Festkörperphysik

A chapter in Macroscopic Quantum Coherence and Quantum Computing, 2001, pp 261-270 from Springer

Abstract: 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.

Keywords: quantum measurement; quantum computation; dephasing (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1245-5_27

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DOI: 10.1007/978-1-4615-1245-5_27

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