title: Quantum synchronization of conjugated variables in a superconducting device leads to the fundamental resistance quantization.
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.
authors.affiliation: Kavli Institute of Nanoscience, Delft University of Technology, P. O. Box 5046, 2600 GA Delft, The Netherlands.
authors.forename: A M
authors.initials: AM
authors.lastname: Hriscu
authors.forename: Yu V
authors.initials: YV
authors.lastname: Nazarov