Quantum Use Cases, Benchmarks, and Algorithms
Browse finance, healthcare, manufacturing, chemistry, algorithm explainers, and benchmark comparisons. Open a case, review the workflow, and explore reproducible quantum experiments with classical baseline checks.
Six pillars of the library
Reproducible workflows, baseline comparisons, and algorithm references, grouped by domain.
Finance
4 pagesPortfolio optimization, risk estimation, volatility forecasting, fraud detection, and constrained asset selection.
Healthcare
1 pageBreast cancer classification workflows with quantum kernels and linear-system methods.
Manufacturing
3 pagesAnomaly detection, predictive maintenance, hydraulic monitoring, melt pool classification, and steel fault detection.
Energy
1 pageWind energy forecasting with hybrid quantum neural networks.
Chemistry & Materials
1 pageMolecular optimization with reproducible VQE workflows.
Algorithms
9 pagesQuantum algorithm explainers with practical execution context.
Comparisons
5 pagesBenchmark pages comparing quantum methods against classical baselines.
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Finance
Portfolio optimization, risk estimation, volatility forecasting, fraud detection, and constrained asset selection.
Quantum Fraud Detection with QNN and Grover
Detect financial fraud with a QNN and Grover search pipeline, with reproducible benchmarks, classical baselines, and downloadable reports.
Quantum Portfolio Optimization: QAOA, HHL and Annealing
Compare quantum portfolio optimization: QAOA with quantum walk mixers, HHL mean-variance allocation, and quantum annealing for cardinality-constrained QUBOs.
VaR and CVaR Estimation with IQAE
Estimate Value at Risk and Conditional Value at Risk with Iterative Quantum Amplitude Estimation, Monte Carlo benchmarks, and reproducible reports.
Market Volatility Forecasting with QRC
Forecast one-step-ahead S&P 500 realized volatility with Quantum Reservoir Computing, market and macro features, and Ridge, RC, and LSTM benchmarks.
Healthcare
Breast cancer classification workflows with quantum kernels and linear-system methods.
Manufacturing
Anomaly detection, predictive maintenance, hydraulic monitoring, melt pool classification, and steel fault detection.
Quantum Quality Control in Additive Manufacturing with QSVM
Detect additive manufacturing anomalies and classify melt-pool defect shapes with QSVM, reproducible benchmarks, and a classical baseline comparison.
Predictive Maintenance and Condition Monitoring with HQNN
Predictive maintenance and hydraulic condition monitoring with HQNN, real accuracy vs. classical baselines, and executable code.
Steel Plate Fault Detection with QSVM
Detect steel plate faults with QSVM, reproducible industrial benchmarks, downloadable reports, and inspection-ready classification workflows.
Energy
Wind energy forecasting with hybrid quantum neural networks.
Chemistry & Materials
Molecular optimization with reproducible VQE workflows.
Algorithms
Quantum algorithm explainers with practical execution context.
Grover's Algorithm for Quantum Search
Learn and benchmark Grover's algorithm for quantum search with reproducible circuits, oracle constructions, and implementation notes.
HHL Algorithm for Quantum Linear Systems
Explore the Harrow-Hassidim-Lloyd algorithm for quantum linear systems, portfolio optimization examples, and reproducible benchmark pipelines.
Quantum Neural Networks: QNN & HQNN
Understand quantum neural networks (QNN) and hybrid QNN (HQNN): how each works, when to use which, real benchmarks, and NISQ hardware requirements.
QAOA for QUBO and Ising Optimization
Explore the Quantum Approximate Optimization Algorithm for QUBO and Ising problems with reproducible benchmarks, parameter schedules, and hardware notes.
Quantum Amplitude Estimation (QAE)
Estimate probabilities, expectations, and VaR/CVaR with IQAE's quadratic speedup over Monte Carlo sampling, benchmarked with a real proof of concept.
Quantum Reservoir Computing (QRC)
Fixed quantum reservoir plus a trained linear read-out for time-series forecasting, benchmarked against Ridge, ESN, and LSTM on real S&P 500 volatility data.
Quantum Support Vector Machine (QSVM)
Build and benchmark quantum support vector machine pipelines with quantum kernels, classical SVM baselines, and reproducible machine learning workflows.
Quantum Annealing for QUBO and Ising Problems
Map combinatorial optimization problems to QUBO and Ising form and benchmark quantum annealing with reproducible runs, baselines, and hardware notes.
Variational Quantum Eigensolver (VQE)
Estimate ground-state energies with the Variational Quantum Eigensolver using reproducible quantum chemistry workflows, benchmarks, and implementation notes.
Comparisons
Benchmark pages comparing quantum methods against classical baselines.
QAOA vs MILP for Portfolio Knapsack Optimization
Compare constrained QAOA with MILP on a 5-asset portfolio knapsack PoC using an 11-qubit simulator run, feasibility checks, and objective-quality audits.
QSVM vs Classical SVM for Classification
Compare QSVM with classical SVM on a 569-sample breast-cancer benchmark with 30 FNA features, 4 qubits, 2 layers, 96% accuracy, and 0.99 ROC-AUC.
Quantum Annealing vs QAOA for QUBO Problems
Compare quantum annealing with QAOA on QUBO/Ising optimization: hardware, constraints, scaling, and two real portfolio-optimization benchmarks.
QAE vs Monte Carlo for Risk Estimation
Compare quantum amplitude estimation (IQAE) with classical Monte Carlo for VaR/CVaR risk estimation, an 11-qubit benchmark, and when each wins.
HQNN vs Classical Neural Network
Compare hybrid quantum neural networks with classical MLP and CNN baselines on parameters, training time, and accuracy across three benchmarked use cases.
Pick a use case. Run a first experiment.
Open any landing page to see the workflow, assumptions, outputs, and reproducible report path. Or start directly in Superpositions Studio.