The Effective Solving of the Tasks from NP by a Quantum Computer

TL;DR

This paper introduces a new quantum computation model and algorithm that significantly outperforms existing methods like Grover's algorithm in solving NP tasks, achieving exponential speedup.

Contribution

It proposes a novel quantum computation model and an effective algorithm that exponentially accelerates solving NP problems, surpassing previous quantum approaches.

Findings

The new model achieves exponential speedup over Grover's algorithm.

An effective algorithm for NP tasks is described within the new model.

The approach demonstrates significant theoretical improvements in quantum NP problem solving.

Abstract

The new model of quantum computation is proposed, for which an effective algorithm of solving any task in NP is described. The work is based and inspired be the Grover's algorithm for solving NP-tasks with quadratic speedup compared to the classical computation model. The provided model and algorithm exhibit the exponential speedup over that described by Grover.