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Tag: algorithm

algorithm

Articles tagged algorithm (14).

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Browse by tag: chemistry encoding error-correction finance integration machine-learning optimization primitive resource-estimation sample-based simulation tutorial usage variational


Algorithms

Hamiltonian Simulation with Suzuki–Trotter (Rabi oscillation)

Trotter–Suzuki product formulas on the Rabi model with empirical convergence orders.

Hybrid Quantum Neural Network (HQNN)

End-to-end CNN + quantum variational circuit on Fashion-MNIST with the parameter shift rule.

Introduction to Quantum Error Correction

3-qubit bit-flip/phase-flip codes, Shor’s 9-qubit code, and stabilizers.

Multidimensional QFT for Estimating Nanosheet Material Properties

This example implements a multidimensional quantum Fourier transform with Qamomile. For nanosheet material characterization, it uses a multidimensional QFT with data preprocessing to run a nanosheet simulation.

Möttönen Amplitude Encoding

Learn how to use Möttönen amplitude encoding in Qamomile to prepare arbitrary quantum states. This tutorial introduces state preparation based on amplitude_encoding and mottonen_amplitude_encoding.

Option Pricing with Quantum Amplitude Estimation

An example of option pricing with quantum amplitude estimation (QAE) in Qamomile. It encodes stock-price data into amplitudes, implements amplitude estimation with the Grover operator, and runs a numerical option-pricing simulation.

Pauli Correlation Encoding

An example of using Pauli Correlation Encoding (PCE) with Qamomile. It solves MaxCut for a 20-node graph using 3-qubit PCE and compares the result with the exact solution.

QAOA for Graph Partitioning

End-to-end optimization example using OMMX, JijModeling, and QAOAConverter.

QAOA for MaxCut: Building the Circuit from Scratch

Build a QAOA circuit from scratch to solve MaxCut, then compare with the built-in qaoa_state.

Quantum Kernel Classification

Use quantum feature maps and kernel methods for classification on the make_circles dataset.

Quantum Selected Configuration Interaction (QSCI)

Sample bitstrings from a quantum state, build an effective Hamiltonian, and diagonalize it classically with a strict variational guarantee.

Quantum-enhanced Markov chain Monte Carlo

Implement Quantum-enhanced MCMC using Trotter-decomposed time evolution.

Stabilizer Formalism and the Steane Code

CSS construction, syndrome decoding, and transversal Hadamard.

Variational Quantum Eigensolver (VQE) for the Hydrogen Molecule

Build a molecular Hamiltonian with OpenFermion and find the ground state energy via VQE.