Gauge symmetry in a 3+2-particle nested-square system corrects a unified noise model on spin/position states and permits stacked implementations of stabilizer measurements, logical Hadamard, Toffoli, and adder gates using only nearest- and next-nearest-neighbor interactions.
Mapping of subtractor and adder-subtractor circuits on re- versible quantum gates
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Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry
Gauge symmetry in a 3+2-particle nested-square system corrects a unified noise model on spin/position states and permits stacked implementations of stabilizer measurements, logical Hadamard, Toffoli, and adder gates using only nearest- and next-nearest-neighbor interactions.