Quantum Search Algorithm and Its Applications

Pulak Ranjan Giri, V. E. Korepin

Mohit Joshi, Manoj Kumar Mishra, S. Karthikeyan

Grover’s search algorithm is one of the most famous quantum algorithms, which enables search in unstructured dataspaces with a quadratic speedup over any known classical algorithm. This is one of the first algorithms to show quantum advantage over classical methods of computation. Besides its most anticipated application of brute force attack on symmetric key encryptions like AES, it is today being used in many modern applications as a subroutine. In this chapter, we describe the mathematical model of Grover’s quantum search algorithm, its behavior, and the theory of its circuit implementation. This chapter also discusses an exact variant of this algorithm and recent applications of Grover’s quantum search.

Nan Wu, Fangmin Song, Xiangdong Li

The Search Based Software Engineering (SBSE) is widely used in software engineering for identifying optimal solutions. However, there is no polynomial-time complexity solution used in the traditional algorithms for SBSE, and that causes the cost very high. In this paper, we analyze and compare several quantum search algorithms that could be applied for SBSE: quantum adiabatic evolution searching algorithm, fixed-point quantum search (FPQS), quantum walks, and a rapid modified Grover quantum searching method. The Grover’s algorithm is thought as the best choice for a large-scaled unstructured data searching and theoretically it can be applicable to any search-space structure and any type of searching problems.

Ela Demirci, Emre Atlıer Olca

This study investigates the applications and adaptations of the Grover's search algorithm, an algorithm that uses quantum technologies to provide quadratic speedup while searching unsorted data. Through extensive literature review, the applications of Grover's algorithm such as database search, machine learning, cryptography, and optimization is explored in order to further understand areas open to alteration in the algorithm. Visuals are provided with the aim of enhancing the comprehension of Grover's algorithm. This study underscores how various components of Grover's search-like the oracle, diffusion operator, and iteration count-can be modified to solve complex problems more efficiently than classical search algorithms. A table generalizing aspects of modification and each of their benefits is given as an output. The growing importance of quantum technologies and the United Nations' selection of 2025 as the International Year of Quantum Science and Technology makes this research timely.

Jerzy Klamka