Physics – Quantum Physics
Scientific paper
1999-07-16
Physics
Quantum Physics
4 pages + 2 postscript figures. Version 3 restores the figures to Version 2, which changed the title, abstract, introduction a
Scientific paper
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, $f(0) \oplus f(1)$) 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''.
Barnum Howard
Bernstein Herbert J.
Spector Lee
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