A quantum circuit for OR
Howard Barnum, Herbert J. Bernstein, Lee Spector
Abstract
We give the first quantum circuit for computing f(0) OR f(1) more reliably than is classically possible with a single evaluation of the function. OR therefore joins XOR (i.e. parity, f(0) f(1)) to give the full set of logical connectives (up to relabeling of inputs and outputs) for which there is quantum speedup. The XOR algorithm is of fundamental importance in quantum computation; our OR algorithm (found with the aid of genetic programming), may represent a new quantum computational effect, also useful as a ``subroutine''.
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