Continuous long josephson junction logic gate system

A method for forming a long Josephson junction logic gate system comprising forming a continuous long Josephson junction, wherein forming the continuous long Josephson junction comprises:

• forming an electrode layer on a dielectric layer;
• forming a dielectric oxide layer on the electrode layer;
• forming a metallic signal layer over the dielectric oxide layer;
• and
• etching at least the metallic signal layer to a width along a soliton propagation direction entirely over at least a portion of the dielectric oxide layer to provide an arrangement of the continuous long Josephson junction that is approximated by a repeating sequence of a grounded Josephson junction and an inductor to provide a critical current and an inductance that defines a soliton energy of a soliton propagating in the continuous long Josephson junction based on the width.

A long Josephson junction gate system comprising a continuous long Josephson junction, the continuous long Josephson junction comprising:

• a dielectric layer;
• an electrode layer formed on the dielectric layer and extending along a soliton propagation direction on the dielectric layer;
• a dielectric oxide layer formed on the electrode layer and extending along the soliton propagation direction;
• and
• a metallic signal layer formed on the dielectric oxide layer and extending along the soliton propagation direction entirely over the dielectric oxide layer at a length of N continuous long Josephson junction portions of approximately equal length,
• wherein each of the continuous long Josephson junction portions is approximated by a structure of a grounded Josephson junction and an inductor to provide a portion critical current and a portion inductance, such that the arrangement of the continuous long Josephson junction has a critical current that is a sum of the portion critical current of each of the N continuous long Josephson junction and an inductance that is a sum of the portion inductance of each of the N continuous long Josephson junction.