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    Quantum Synchronization of Conjugated Variables in a Superconducting Device Leads to the Fundamental Resistance Quantization

    A. M. Hriscu and Yu. V. Nazarov*

    • Kavli Institute of Nanoscience, Delft University of Technology, P. O. Box 5046, 2600 GA Delft, The Netherlands

    • *Corresponding author. Y.V.Nazarov@tudelft.nl

    Phys. Rev. Lett. 110, 097002 – Published 26 February, 2013

    DOI: https://doi.org/10.1103/PhysRevLett.110.097002

    Abstract

    We propose a way to achieve quantum synchronization of two canonically conjugated variables. For this, we employ a superconducting device where the synchronization of Josephson and Bloch oscillations results in the quantization of transresistance similar to that in the (fractional) quantum Hall effect. An LC oscillator is a key component to achieve an exponentially small rate of synchronization errors.

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