Physics of the Majorana superconducting qubit hybrids

Realizing perfectly decoupled Majorana zero modes (MZMs) -- the key element of proposed topological quantum computers -- remains a challenge so far. Fortunately, even a few imperfect MZMs can be used to qualitatively extend the behavior of standard superconducting qubits. Such hybrid devices take advantage of the interplay of Cooper pair tunneling, coherent single-electron tunneling, and Majorana hybridization. Here, the authors offer a detailed description and present various analytical approaches to addressing the complex behavior of the MZM-superconducting qubit hybrid. Some practical applications of such a hybrid device are highlighted.