Super conducting quantum bits - a comparison of different designs

Abstract: This paper treats the current progress in the research of superconducting quantum bits. It includes background theory in the two distinct fields of superconductivity and quantum bits and how these two research fields relate. Different designs of superconducting quantum bits are presented including the derivation of their respective Hamiltonian. Particular focus is put on the Cooper Pair Box-design and the Transmon-design with their structure more explained in detail and energy levels numerically calculated. The paper concludes by comparing the various designs in terms of sensitivity to outer disturbances.