| Deutsch's Algorithm |
Quantum |
Determines if a function is constant or balanced |
Computational Theory |
O(1) |
| Deutsch-Josza Algorithm |
Quantum |
Determines if a function is constant or balanced with one evaluation |
Computational Theory |
O(1) |
| Bernstein-Vazirani Algorithm |
Quantum |
Finds hidden linear functions with fewer queries than classical algorithms |
Computational Theory |
O(n) |
| Grover's Algorithm |
Quantum |
Searches an unsorted database with quadratic speedup |
Search problems |
O(√N) |
| Shor's Algorithm |
Quantum |
Factorizes integers efficiently, breaking RSA encryption |
Cryptography |
O((log N)^3) |
| Quantum Fourier Transform |
Quantum |
Fast Fourier transform on a quantum computer, fundamental for many algorithms |
Signal Processing |
O(N log N) |
| Amplitude Amplification |
Quantum |
Enhances the probability of measuring a desired outcome |
Search problems |
O(√N) |
| Variational Quantum Eigensolver |
Hybrid |
Estimates the ground state of Hamiltonians using a variational approach |
Quantum Chemistry |
Varies by Ansatz |
| Quantum Approximate Optimization Algorithm |
Hybrid |
Approximates solutions to combinatorial problems |
Optimization |
Varies by problem |
| Quantum Simulated Annealing |
Hybrid |
Uses quantum mechanics for finding the minimum of a function |
Optimization |
Varies by problem |
| Harrow-Hassidim-Lloyd Algorithm |
Quantum |
Solves linear systems of equations exponentially faster than classical systems |
Linear Algebra |
O(log N) |
| Quantum Principal Component Analysis |
Quantum |
Reduces dimensionality of data quantumly |
Data Analysis |
O(N^2) |
| Quantum Walk Algorithm |
Quantum |
Utilizes quantum walks for various graph problems |
Graph Theory |
O(N log N) |
| Quantum Bayesian Inference |
Quantum |
Incorporates quantum information into Bayesian analysis |
Machine Learning |
Varies by model |
| Fault-Tolerant Quantum Computation |
Theoretical |
Enables computation in the presence of noise |
Quantum Computing Theory |
Varies by code |
| Quantum Machine Learning Algorithms |
Hybrid |
Combine quantum computing with machine learning methods |
Machine Learning |
Varies |
| Quantum Control Algorithms |
Quantum |
Manipulate quantum states for desired outcomes |
Quantum Control |
Varies |
| Quantum Search in Unstructured Database |
Quantum |
Enhances search capabilities via quantum superposition |
Search problems |
O(√N) |
| Quantum Cryptography Protocols |
Quantum |
Protocols like BB84 ensuring secure communication |
Cryptography |
NaN |
| Quantum Teleportation Algorithm |
Quantum |
Transfers quantum states instantaneously from one location to another |
Quantum Communication |
NaN |
| Quantum Entanglement Distribution |
Quantum |
Distributes entangled states for secure communication |
Quantum Communication |
NaN |
| Quantum Key Distribution |
Quantum |
Securely shares cryptographic keys using quantum mechanics |
Cryptography |
NaN |
| Quantum Metrology |
Quantum |
Uses quantum mechanics to improve measurement precision |
Metrology |
NaN |
| Quantum Phase Estimation |
Quantum |
Estimates eigenvalues of unitary operators |
Quantum Computing |
O(log(N)*p) |
| Quantum Random Walks |
Quantum |
Generalization of classical random walks utilizing quantum states |
Probability Theory |
O(N) |
| Quantum State Distillation |
Quantum |
Purifies quantum states from mixed states |
Quantum Information Theory |
NaN |
| Quantum Simulation of Many-Body Systems |
Quantum |
Simulates quantum systems with many interacting particles |
Condensed Matter Physics |
NaN |
| Quantum Image Processing Algorithms |
Quantum |
Processes images using quantum principles |
Image Processing |
Varies |
| Shor's Period Finding Algorithm |
Quantum |
Determines periods of modular exponentiation, useful for integer factorization |
Cryptography |
O(log^2(N)) |
| Sollin's Quantum Algorithm |
Quantum |
Addresses the satisfiability problem efficiently |
Computational Theory |
NaN |
| Quantum Secure Direct Communication |
Quantum |
Direct transmission of information securely using quantum mechanics |
Quantum Communication |
NaN |
| Kitaev's Quantum Algorithm for the Hidden Subgroup Problem |
Quantum |
Handles problems where the structure needs to be identified |
Group Theory |
NaN |
| Quantum Algorithms for Linear Programming |
Quantum |
Approaches linear programming solutions via quantum methods |
Optimization |
Varies |
| Quantum Neural Networks |
Hybrid |
Integrates quantum computing with neural network architecture |
Machine Learning |
NaN |
| Quantum Anomaly Detection |
Quantum |
Identifies anomalies in large datasets using quantum principles |
Data Analysis |
NaN |
| Quantum Reinforcement Learning |
Hybrid |
Combines reinforcement learning with quantum methods |
Machine Learning |
NaN |
| Quantum Evolutionary Algorithms |
Hybrid |
Evolutionary computing using quantum principles |
Optimization |
NaN |
| Quantum Monte Carlo Methods |
Quantum |
Statistical sampling techniques in quantum mechanics |
Physics Simulations |
NaN |
| Quantum Algorithms for Approximation Problems |
Quantum |
Approaches problems that seek approximate solutions efficiently |
Optimization |
NaN |
| Quantum Bayesian Updating |
Quantum |
Updates beliefs in quantum mechanics based on new evidence |
Machine Learning |
NaN |
| Fault-Tolerant Quantum Error Correction |
Quantum |
Methods to ensure reliable quantum computation despite errors |
Quantum Computing |
NaN |
| Quantum Sieve Algorithm |
Quantum |
Speeding up integer factorization problems with quantum advantages |
Cryptography |
NaN |
| Quantum Simulation of Quantum Field Theories |
Quantum |
Simulates theoretical physics models utilizing quantum computing |
Theoretical Physics |
NaN |
| Quantum Learning Algorithms |
Hybrid |
Learning from data using quantum methods |
Machine Learning |
NaN |
| Entanglement-Based Quantum Protocols |
Quantum |
Protocols using entangled particles for various tasks |
Quantum Information |
NaN |
| Quantum Algorithms for Graph Problems |
Quantum |
Quantum methods addressing different graph problems |
Graph Theory |
NaN |
| Quantum Computing in Finance |
Application |
Using quantum algorithms to solve financial problems |
Finance |
NaN |
| Quantum Algorithms for Sorting |
Quantum |
Methods to sort lists utilizing quantum principles |
Sorting Problems |
NaN |
| Quantum Techniques for Bioinformatics |
Quantum |
Applying quantum algorithms in biological data analysis |
Bioinformatics |
NaN |
| Quantum Algorithms for Signal Processing |
Quantum |
Uses quantum mechanics for processing signals |
Signal Processing |
NaN |
| Quantum Cryptanalysis Algorithms |
Quantum |
Attacks on cryptographic systems using quantum computing |
Cryptography |
NaN |
| Quantum Thermodynamics |
Quantum |
Studies thermodynamic processes in quantum contexts |
Physics |
NaN |
| Quantum Algorithms for Protein Folding |
Quantum |
Approaches to resolve the protein folding problem |
Biochemistry |
NaN |
| Quantum Algorithms for Optimization Problems |
Quantum |
Utilizes quantum mechanics for various optimization challenges |
Optimization |
NaN |
| Quantum Algorithms for Robotics |
Quantum |
Integrating quantum computing principles in robotic functions |
Robotics |
NaN |
| Quantum Information Density Functional Theory |
Quantum |
Applies quantum principles to compute electronic properties |
Chemistry |
NaN |
| Quantum Algorithms for Complex Systems |
Quantum |
Handles large and complex systems in a quantum manner |
Physics Simulations |
NaN |
| Quantum Classical Hybrid Algorithms |
Hybrid |
Combines classical and quantum methods effectively |
General |
NaN |
| Quantum Algorithms for Economic Models |
Quantum |
Simulates economic theories using quantum methodologies |
Economics |
NaN |
| Quantum Field Theoretical Simulation |
Quantum |
Simulates quantum fields for theoretical research |
Physics |
NaN |
| Quantum Data Compression Algorithms |
Quantum |
Efficient methods to compress quantum data |
Information Theory |
NaN |
| Quantum Algorithms for Clustering |
Quantum |
Uses quantum principles to partition data into clusters |
Data Analysis |
NaN |
| Quantum Algorithms in Supply Chain Management |
Hybrid |
Applies quantum computing to optimize supply chains |
Business |
NaN |
| Quantum Algorithms in Telecommunications |
Quantum |
Enhances telecommunications protocols using quantum principles |
Telecommunications |
NaN |
| Quantum Algorithms for Image Recognition |
Quantum |
Utilizes quantum computing for recognizing images |
Computer Vision |
NaN |
| Quantum Algorithms in Chemistry |
Quantum |
Implements quantum methods to solve complex chemical equations |
Chemistry |
NaN |
| Quantum Algorithms in Climate Modeling |
Quantum |
Models climate scenarios through quantum simulations |
Environmental Science |
NaN |
| Quantum Algorithms for Network Security |
Quantum |
Provides enhancements in network security using quantum principles |
Cybersecurity |
NaN |
| Quantum Neural Coding |
Quantum |
Represents neural information with quantum states |
Neuroscience |
NaN |
| Quantum Algorithms for Financial Portfolio Optimization |
Quantum |
Optimizes portfolios using quantum computing approaches |
Finance |
NaN |
| Quantum Algorithms for Time Series Analysis |
Hybrid |
Analyzes time series data with quantum methods |
Data Analysis |
NaN |
| Quantum Algorithms for Market Prediction |
Hybrid |
Predicts market trends using quantum computing |
Finance |
NaN |
| Quantum Algorithms for Risk Assessment |
Quantum |
Evaluates risks through quantum analysis techniques |
Finance |
NaN |
| Quantum Algorithms for Drug Discovery |
Quantum |
Identifies new drugs using quantum simulations |
Pharmaceuticals |
NaN |
| Quantum Algorithms for Smart Grids |
Quantum |
Optimizes energy distribution in smart grid systems |
Energy |
NaN |
| Quantum Algorithms for Agricultural Optimization |
Quantum |
Improves farming efficiency through quantum methods |
Agriculture |
NaN |
| Quantum Algorithms for Transportation Networks |
Quantum |
Optimizes transport routes and schedules with quantum techniques |
Transportation |
NaN |
| Quantum Algorithms for Game Theory |
Quantum |
Applies quantum principles to analyze strategic interactions |
Economics/Game Theory |
NaN |
| Quantum Algorithms for Image Reconstruction |
Quantum |
Reconstruct images using quantum techniques |
Medical Imaging |
NaN |
| Quantum Algorithms in Cognitive Science |
Quantum |
Uses quantum models of cognitive processes in research |
Cognitive Science |
NaN |
| Quantum Phenomena in Material Science |
Quantum |
Studies materials using quantum effects for advancements |
Material Science |
NaN |
| Quantum Algorithms for Epidemiology |
Hybrid |
Models and predicts disease spread using quantum approaches |
Health Science |
NaN |
| Quantum Chaos Theory Algorithms |
Quantum |
Explores chaotic systems through quantum mechanics |
Mathematics/Physics |
NaN |
| Quantum Algorithms for Information Retrieval |
Quantum |
Enhances info retrieval systems using quantum methods |
Information Science |
NaN |
| Quantum Algorithms for Decision Making |
Quantum |
Makes decisions based on quantum analyses |
Cognitive Science |
NaN |
| Quantum Algorithms for Statistical Mechanics |
Quantum |
Studies physical systems via quantum statistical mechanics |
Physics |
NaN |
| Quantum Algorithms for Training Neural Networks |
Hybrid |
Trains neural network models efficiently using quantum techniques |
Machine Learning |
NaN |
| Quantum Algorithms for Marketing Analytics |
Quantum |
Analyzes market data through quantum methodologies |
Marketing |
NaN |
| Quantum Algorithms for Fraud Detection |
Quantum |
Identifies fraudulent patterns with quantum analysis |
Finance/Cybersecurity |
NaN |
| Quantum Algorithms for Sentiment Analysis |
Quantum |
Analyzes sentiments in text using quantum text processing methods |
Natural Language Processing |
NaN |
| Quantum Algorithms for Healthcare Optimization |
Hybrid |
Improves healthcare delivery systems using quantum methods |
Healthcare |
NaN |
| Quantum Algorithms in Space Exploration |
Quantum |
Utilizes quantum computing for space-related simulations |
Astrophysics |
NaN |
| Quantum Algorithms for Cultural Data Analysis |
Quantum |
Analyzes cultural datasets with quantum principles |
Cultural Studies |
NaN |
| Quantum Algorithms for Global Sustainability |
Quantum |
Models and explores strategies for sustainability with quantum computing |
Environmental Science |
NaN |