Amplitude Amplification and Estimation
- Oblivious Amplitude Amplification
- Quantum Monte Carlo Integration (QMCI)
- Using QSVT for Fixed-point Amplitude Amplification
- Quantum Counting Using the Iterative Quantum Amplitude Estimation Algorithm
Foundational
- Bernstein-Vazirani Algorithm
- Deutsch-Jozsa Algorithm
- Quantum Teleportation Algorithm (Protocol)
- Simon’s Algorithm
Hamiltonian Simulation
- Hamiltonian Simulation
- Hamiltonian Simulation with Generalized Quantum Signal Processing (GQSP)
- Hamiltonian Simulation with Quantum Singular Value Transformation (QSVT)
- Hamiltonian Simulation with Qubitization (Chebyshev LCU)
- The Jacobi-Anger Expansion
Metrology
Number Theory and Cryptography
- Discrete Logarithm
- Solving Elliptic Curve Discrete Logarithm Problem with Shor’s Algorithm
- Hidden-Shift Problem for Bent Functions
- Shor’s Factoring Algorithm
QML
- Hybrid Classical-Quantum Neural Network
- Quantum Generative Adversarial Networks (QGANs)
- Quantum Support Vector Machines (QSVM)
- Quantum Autoencoder
Quantum Differential Equations Solvers
- Quantum Algorithm for Solving the Poisson Equation
- Linear Combination of Hamiltonian Simulation (LCHS)
- Time Marching Based Quantum Solvers for Time-dependent Linear Differential Equations
Quantum Linear Solvers
- Solving the Quantum Linear Systems Problem (QLSP) using AQC
- HHL Algorithm
- Matrix Inversion with Quantum Singular Value Transform (QSVT)
- Variational Quantum Linear Solver (VQLS) with Linear Combination of Unitaries (LCU) Block Encoding
Quantum Phase Estimation
- Quantum Phase Estimation for Solving Matrix Eigenvalues
- Qubitization based Quantum Phase Estimation (QPE) for Solving Molecular Energies
Quantum Primitives
- Generalized Quantum Signal Processing (GQSP)
- Fast Quantum Algorithm for Numerical Gradient Estimation
- Hadamard Test
- Quantum Oracle Sketching for Boolean Functions
- Swap Test Algorithm
Quantum State Preparation
- ADAPT VQE
- Preparation of Fermionic Gaussian States
- Quantum Thermal State Preparation Algorithm Implementation