  We propose a new, low-complexity solution to realize multi-input-bit gates
acting on exponentially large superpositions in noise-based logic processors.
Two examples are shown, the NOT gate and the CNOT gate. The operations can be
executed and repeated with polynomial time and hardware complexity. The lack of
a solution of this problem had been one of the major issues prohibiting the
efficient realization of Shor's algorithm by Instantaneous Noise-Based Logic,
which runs on a classical Turing computer with a true random number generator.
With the method described in this paper, we are one step closer to this goal.

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