A superconducting qubit is presented. The qubit is a shaped long Josephson junction with a magnetic fluxon such that, in the presence of an externally applied magnetic field, a fluxon potential energy function indicating a plurality of pinning sites in the qubit is produced. In one embodiment, a heart-shaped Josephson junction is formed where a trapped fluxon has a double-welled potential energy function, indicating two pinning sites, when the junction is placed in an externally applied magnetic field. The qubit is manipulated by preparing an initial state, creating a superposition of the two states by decreasing the magnetic field, evolving of the quantum state with time, freezing in a final state by increasing the magnetic field, and reading out the final state. In other embodiments, qubit exhibiting potential energy functions having any number of pinning sites can be realized.
展开▼