Quantum Algorithms

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Quantum Algorithms

A comprehensive collection of quantum computing algorithms implemented using Qiskit for IBM Quantum hardware, demonstrating practical quantum speedup and cryptographic applications.

Quantum Algorithms

What This Software Does

This repository contains a comprehensive collection of quantum computing algorithms implemented using Qiskit for IBM Quantum hardware. The project demonstrates various quantum computing concepts with practical implementations across fundamental algorithms, search optimization, quantum transforms, cryptographic communication protocols, and error correction methods.
The algorithms are organized into several categories including Deutsch, Deutsch-Jozsa, Bernstein-Vazirani algorithms for function problems, Grover’s algorithm for unstructured search, QAOA for combinatorial problems, Quantum Fourier Transform (QFT), Quantum Phase Estimation (QPE), BB84 and E91 quantum key distribution protocols, quantum teleportation, and VQE for molecular ground states.
Each algorithm implementation includes both Python scripts for execution on real IBM Quantum hardware and OpenQASM circuit files for visual execution in the IBM Quantum Composer. The project provides hands-on learning experiences for quantum computing concepts with access to actual quantum processors through IBM’s free tier quantum service.

Key Features

Powerful features that make this solution stand out

Fundamental Quantum Algorithms

Implementations of Deutsch, Deutsch-Jozsa, Bernstein-Vazirani, and Simon's algorithms demonstrating quantum speedup for solving function problems with exponentially faster performance than classical approaches.

Quantum Search & Optimization

Grover's algorithm for unstructured database search, QAOA for combinatorial optimization problems, and quantum walk implementations providing quadratic speedup over classical search methods.

Quantum Transforms & Estimation

Quantum Fourier Transform (QFT), Quantum Phase Estimation (QPE), quantum counting, and amplitude estimation algorithms forming the foundation for advanced quantum computation applications.

Quantum Cryptography Protocols

BB84 and E91 quantum key distribution protocols with eavesdropping detection, quantum teleportation, and superdense coding for secure quantum communication channels.

Advanced Quantum Methods

VQE algorithm for finding molecular ground states, HHL algorithm for solving linear systems, and SWAP test for quantum state comparison enabling quantum chemistry simulations.

Quantum Error Correction

Bit-flip codes, phase-flip codes, Shor's 9-qubit code, and Steane's 7-qubit code implementations protecting quantum information from decoherence and operational errors.

Built With Modern Technologies

Python Qiskit IBM Quantum OpenQASM

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