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The idea that a quantum computer can simultaneously explore many possible solutions to a problem since quantum memory register can exist in a superposition of states, each component of this superposition may be thought of as a single argument to a function. A function performed on the register in a superposition of states is thus performed on each of the components of the superposition, but this function is only applied one time.

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Where does that single evaluation of $f(x)$ actually occur? Is it in the construction of $U_f$? $U_f$ is an implementation of $f$ in quantum gates. The evaluation of $f$ occurs in the course of appl …
answered May 29 '21 by benrg