Multi-Qubit Dynamical Quantum Search Algorithm with Dissipation

TL;DR

This paper introduces a dynamical quantum search algorithm for multi-qubit systems that achieves higher accuracy and faster search times than Grover's algorithm, even with dissipation effects.

Contribution

The paper presents a novel dynamical quantum search algorithm that generalizes Grover's algorithm and incorporates dissipation effects using new quantum gate techniques.

Findings

Achieves higher probability of finding marked states faster than Grover's algorithm.

Improves performance through controlled phase adjustments.

Effectively implements the algorithm with dissipation effects.

Abstract

We invoke an efficient search algorithms as a key challenge in multi-qubit quantum systems. An original algorithm called dynamical quantum search algorithm from which Grover algorithm is obtained at a specified time is presented. This algorithm is distinguished by accuracy in obtaining high probability of finding any marked state in a shorter time than Grover algorithm time. The algorithm performance can be improved with respect to the different values of the controlled phase. A new technique is used to generate the dynamical quantum gates in the presence of dissipation effect that helps in implementing the current algorithm.