## 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

**Download:** **PDF**

### Submission history

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

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