caa a22 4500 467885060 CHVBK 20180406152731.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10948-006-0167-6 doi (NATIONALLICENCE)springer-10.1007/s10948-006-0167-6 From Flux Quantization to Superconducting Quantum Bits [Elektronische Daten] [R. Gross, A. Marx, D. Einzel] One of the important predictions of the early phenomenological theories of superconductivity such as the London and Ginzburg-Landau (GL) theory is the quantization of magnetic flux in multiply connected superconductors, which is one of the first demonstrations of a quantum effect on a macroscopic scale. In this paper, which is devoted to Vitalij Lazarevich Ginzburg on the occasion of his 90th birthday, we analyze a superconducting cylinder acting as a flux box as well as a superconducting disk acting as a Cooper pair box in the framework of GL theory. We extend this analysis to leaky flux and Cooper pair boxes which are obtained by introducing weak links allowing for the entry and exit of flux quanta and Cooper pairs from the respective boxes at finite rates. Flux and Cooper pair slippage processes by coherent quantum tunneling result in effective two-level quantum systems forming the basis for flux and charge quantum bits presently considered for the solid-state implementation of quantum information processing. We show that the corresponding Hamiltonians describing the leaky flux and Cooper pair box can be transformed into each other by a canonical transformation. Springer Science+Business Media, Inc., 2006 flux quantization nationallicence superconducting quantum bits nationallicence Cooper pair box nationallicence GL theory nationallicence Gross R. Walther-Meißner Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner Str. 8, 85748, Garching, Germany aut Marx A. Walther-Meißner Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner Str. 8, 85748, Garching, Germany aut Einzel D. Walther-Meißner Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner Str. 8, 85748, Garching, Germany aut Journal of Superconductivity and Novel Magnetism Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 19/3-5(2006-07-01), 331-340 1557-1939 19:3-5<331 2006 19 10948 https://doi.org/10.1007/s10948-006-0167-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10948-006-0167-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gross R. Walther-Meißner Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner Str. 8, 85748, Garching, Germany aut NATIONALLICENCE 700 1- Marx A. Walther-Meißner Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner Str. 8, 85748, Garching, Germany aut NATIONALLICENCE 700 1- Einzel D. Walther-Meißner Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner Str. 8, 85748, Garching, Germany aut NATIONALLICENCE 773 0- Journal of Superconductivity and Novel Magnetism Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 19/3-5(2006-07-01), 331-340 1557-1939 19:3-5<331 2006 19 10948 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer