Quantum computing

Abstract

This study investigates the efficiency of Grover’s algorithm in identifying a specific element within a given search space. The experiment compares the performance of classical search versus quantum search using Grover’s algorithm, focusing on the time required to locate the target element in an unsorted database of 100,000 entries. The results demonstrate that the quantum search exhibits a significantly slower rise in computational time compared to classical search, highlighting its superior efficiency in processing large-scale datasets.

This performance disparity arises because classical search algorithms operate by sequentially checking each element until the target is found, resulting in a linear increase in the number of operations as the dataset grows. In contrast, Grover’s quantum search algorithm achieves a quadratic speedup (O(N) over classical approaches (O(N), making it particularly advantageous for large, unstructured databases