Design of Josephson Ternary Delta-Gate (δGate)

Haidar AliMassoud, Li Fu-Qiang, Morisue Mititada

A new circuit design of Josephson ternary δ-gate composed of Josephson junction devices is presented. Mathematical theory for synthesizing, analyzing, and realizing any given function in ternary system using Josephson ternary δ-gate is introduced. The Josephson ternary δ-gate is realized using SQUID technique. Circuit simulation results using J-SPICE demonstrated the feasibility and the reliability operations of Josephson ternary δ-gate with very high performances for both speed and power consumption (max. propagation delay time= ps and max. power consumption=2.6 μW). The Josephson ternary δ-gate forms a complete set (completeness) with the ternary constants (-1,0,1). The number of SQUIDs that are needed to perform the operation of δ-gate is 6. Different design with less than 6 SQUIDs is not possible because it can not perform the operation of δ-gate. The advantages of Josephson ternary δ-gate compared with different Josephson logic circuits are as follows: The δ-gate has the property that a simple realization to any given ternary logic function as the building blocks can be achieved. The δ-gate has simple construction with small number of SQUIDs. The δ-gate can realize a large number of ternary functions with small number of input / output pins. The performances of δ-gate is very high, very low power consumption and ultra high speed switching operation.

Design of Josephson Ternary Delta-Gate (δGate)

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