Constant-Time Quantum Algorithm For The Unstructured Search Problem

TL;DR

This paper proposes a quantum algorithm capable of determining the presence of an item in an unstructured list in constant time with certainty, significantly improving upon previous quantum search complexities.

Contribution

It introduces a novel quantum algorithm that achieves constant-time search for unstructured data, surpassing existing quantum algorithms' performance.

Findings

Achieves O(1) search time with certainty

Outperforms classical and existing quantum algorithms

Provides a new approach to unstructured search problems

Abstract

Given an item and a list of values of size $N$. It is required to decide if such item exists in the list. Classical computer can search for the item in O(N). The best known quantum algorithm can do the job in $O(\sqrt{N})$. In this paper, a quantum algorithm will be proposed that can search an unstructured list in O(1) to get the YES/NO answer with certainty.