The Very True Theoretical Ultimate Algorithm for Quantum Computers
Koji Nagata, Tadao Nakamura · viXra · 2019
Here, we propose a new type of quantum algorithm for determining the $2^N$ values of a function. By measuring the single output state, we determine all the values of $f(x)$ for all $x$ simultaneously. This is very interesting indeed: the quantum circuit gives us the ability to determine a perfect property of $f(x)$, namely, $f(x)$. This is faster than a classical apparatus by a factor of $2^N$.