Superconducting methods of determining AND, OR, AND-OR, and OR-AND logic values use single flux quantum (SFQ) pulses to assert logical inputs of a reciprocal quantum logic (RQL) gate by placing currents in input storage loops in the RQL gate and, based on the currents in the storage loops, triggering logical decision Josephson junctions (JJs) in the gate, such that an assertion or de-assertion signal corresponding to the logical function of the gate is observed at the output. The methods permit for outputs based on at least four logical inputs to be achieved.

Superconducting methods of determining AND, OR, AND-OR, and OR-AND logic values use single flux quantum (SFQ) pulses to assert logical inputs of a reciprocal quantum logic (RQL) gate by placing currents in input storage loops in the RQL gate and, based on the currents in the storage loops, triggering logical decision Josephson junctions (JJs) in the gate, such that an assertion or de-assertion signal corresponding to the logical function of the gate is observed at the output. The methods permit for outputs based on at least four logical inputs to be achieved.

An reciprocal quantum logic (RQL) gate circuit has a first stage having four logical inputs asserted based on receiving positive single flux quantum (SFQ) pulses and storing the SFQ pulses in respective storage loops each associated with a logical input, and a second stage having two more storage loops. First and second logical decision Josephson junctions (JJs) make determinations based on signals stored in the first-stage storage loops. A third logical decision JJ makes a third determination based on the first and second determinations. Each logical decision JJ triggers based on biasing provided by one or more currents stored in its associated storage loops and a bias signal having an AC component. The second stage asserts an output based on the triggering of the third logical decision JJ. Four-input AND, OR, AO22, and OA22 gates are thereby provided.