Quantum Algorithms

This directory collects the main quantum algorithm modules in UnitaryLab.
Each subdirectory contains its own SKILL.md with more detailed usage notes and implementation guidance.

1. Quantum Primitives

Core building blocks for quantum algorithms, including phase estimation, amplitude amplification/estimation, Hadamard-based routines, and related primitives.

See reference: ./primitives/SKILL.md

2. Quantum Linear Systems

Algorithms for solving linear systems on quantum hardware, including HHL, LCU, and quantum signal processing (QSP/QSVT).

See reference: ./linear-systems/SKILL.md

3. Quantum Cryptography

Quantum algorithms with cryptographic relevance: Shor's factoring algorithm, discrete logarithm, and Simon's algorithm.

See reference: ./cryptography/SKILL.md

4. Hamiltonian Simulation

Methods for simulating quantum Hamiltonians, including Trotter-Suzuki decomposition and QDrift randomized simulation.

See reference: ./hamiltonian-simulation/SKILL.md

5. Schrodingerization

PDE-to-quantum mapping via Schrodingerization, covering 1D/2D heat equations, advection, and backward-heat problems.

See reference: ./schrodingerization/SKILL.md

6. Quantum Machine Learning

Variational and hybrid quantum-classical learning algorithms, including VQE, VQC, QAOA, QNN, and QCBM.

See reference: ./quantum-machine-learning/SKILL.md

7. Eigensolvers

Algorithms for computing eigenvalues and eigenstates of quantum operators, including exact classical diagonalization (NumPyEigensolver) and variational excited-state methods (VQD).

See reference: ./eigensolvers/SKILL.md

8. Gradients

Quantum gradient and geometric tensor methods, including parameter-shift, finite-difference, linear-combination, SPSA, reverse-mode, and QFI.

See reference: ./gradients/SKILL.md

9. Quantum Error Correction

Quantum error correcting codes and related fault-tolerance techniques for UnitaryLab circuits.

See reference: ./quantum-error-correction/SKILL.md