📌 Overview

This project demonstrates the implementation of Grover’s Algorithm, a quantum search algorithm that provides a quadratic speedup over classical search methods.

Grover’s Algorithm is used to search for a specific item in an unsorted database of size N in O(N^1/2) compared to O(N) for classical computing.

How It Works

Grover’s Algorithm consists of three main steps:

Initialization All qubits are placed into an equal superposition using Hadamard gates. Oracle (Problem Encoding) A quantum oracle marks the correct solution by flipping its phase. Amplitude Amplification (Grover Diffusion Operator) The probability amplitude of the correct state is increased, making it more likely to be measured.

These steps are repeated multiple times to maximize the probability of measuring the correct result.

Key Concepts Superposition Quantum interference Oracle function Amplitude amplification Measurement Technologies Used Python Qiskit Matplotlib (for visualization)