Quantum Physics

    

The Generalized Bernstein-Vazirani Algorithm for Determining an Integer String

Authors: Koji Nagata, Tadao Nakamura, Han Geurdes, Josep Batle, Ahmed Farouk, Do Ngoc Diep

We present the generalized Bernstein-Vazirani algorithm for determining a restricted integer string. Given the set of real values $\{a_1,a_2,a_3,\ldots,a_N\}$ and a function $g:{\bf R}\rightarrow {\bf Z}$, we shall determine the following values $\{g(a_1),g(a_2),g(a_3),\ldots, g(a_N)\}$ simultaneously. The speed of determining the values is shown to outperform the classical case by a factor of $N$. The method determines the maximum of and the minimum of the function $g$ that the finite domain is $\{a_1,a_2,a_3,\ldots,a_N\}$.

Comments: 3 pages

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Submission history

[v1] 2018-03-09 08:22:53

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