Core Quantum Algorithms

Shor's Algorithm

Quantum factoring algorithm that can break RSA encryption by efficiently finding prime factors of large integers.

O((log N)³)

Grover's Search

Quantum search algorithm providing quadratic speedup for unstructured database searches and optimization problems.

O(√N)

Quantum Annealing

Optimization technique using quantum tunneling to find global minima in complex energy landscapes.

Adiabatic

Quantum Fourier Transform

Quantum version of discrete Fourier transform, fundamental component in many quantum algorithms.

O((log N)²)

Variational Quantum Eigensolver

Hybrid quantum-classical algorithm for finding ground states of molecular systems and optimization.

NISQ-era

Quantum Machine Learning

Quantum-enhanced ML algorithms including quantum neural networks and quantum support vector machines.

Exponential

Quantum Applications

Cryptography & Security

Post-quantum cryptography, quantum key distribution, and secure communication protocols.

Drug Discovery

Molecular simulation, protein folding prediction, and quantum chemistry calculations.

Optimization

Portfolio optimization, supply chain management, and traveling salesman problems.

Financial Modeling

Risk analysis, derivatives pricing, and Monte Carlo simulations with quantum advantage.

AI Enhancement

Quantum machine learning, neural networks, and pattern recognition acceleration.

Materials Science

Quantum simulation of materials, superconductor research, and catalyst design.