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This is a bit of a cop-out answer, but it's relatively easy to find a set of gates that can be substituted for NOT gates. For example: $$[Y][Z]/i = [\text{NOT}] $$ Where $[Y]$ and $[Z]$ are Pauli gates. It's already known that quantum computing can do universal computations, using only a specific sets of gates. One such set is the Hadmard gate, a phase ...

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