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The physical principles of the fluxon qubit is similar to those of the persistent current qubit. It’s possible to form an optional shaped potential for a magnetic fluxon in a long Josephson junction through variations of an external field and shapes of the junction.
And, the amplitude of this potential can be easily varied by tuning the magnetic field. Furthermore, it’s expected to use a superposition of two distinct quantum states at macro level of a fluxon as a quantum particle at low temperature.