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site/_toc.yml

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- file: notebooks/exercises/nb-01-02
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- caption: Project Topics
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numbered: true
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chapters:
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- file: markdown/quantum_setup.md
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- file: notebooks/projects/supply_chain_mip_qubo_colab_v2
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- file: notebooks/projects/manufacturing_scheduling_mip_qubo_colab
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- file: notebooks/projects/workforce_optimization_mip_qubo_colab

site/notebooks/projects/summary.md

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# Summary of Quantum Problems
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Here are 10 business problems that would fit well with a Quantum project, meaning they involve complex optimization, combinatorial decision-making, or probabilistic modeling where quantum or quantum-inspired algorithms could provide an advantage. I’ve grouped them into domains to show variety:
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⚙️ 1. Supply Chain Optimization
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Problem: Determine optimal routes, supplier choices, and production schedules to minimize cost and delivery times under uncertainty.
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Quantum Angle: Formulate as a Quadratic Unconstrained Binary Optimization (QUBO) problem for quantum annealing (e.g., using D-Wave).
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💰 2. Portfolio Optimization
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Problem: Select a combination of assets that maximizes expected return and minimizes risk, considering constraints like diversification and liquidity.
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Quantum Angle: Use quantum approximate optimization algorithms (QAOA) or Ising model formulations for large-scale risk-return tradeoffs.
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🏭 3. Manufacturing Scheduling
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Problem: Optimize machine job assignments and maintenance schedules to reduce downtime and meet demand.
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Quantum Angle: Model as a Job Shop Scheduling Problem and solve using quantum annealing or hybrid quantum-classical solvers.
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🧠 4. Customer Segmentation and Targeting
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Problem: Identify optimal customer groupings for marketing campaigns to maximize conversion.
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Quantum Angle: Apply quantum clustering or quantum k-means to improve segmentation accuracy with high-dimensional data.
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🏢 5. Workforce Optimization
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Problem: Assign employees to shifts or projects to balance skills, availability, and workload fairness.
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Quantum Angle: Use constraint-based quantum optimization to handle complex multi-objective constraints.
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🚚 6. Vehicle Routing with Time Windows
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Problem: Optimize delivery routes across fleets with delivery time constraints, capacity limits, and variable traffic.
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Quantum Angle: Implement a quantum-enhanced TSP or VRP using QUBO formulations and hybrid solvers.
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🌱 7. Energy Grid Balancing
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Problem: Allocate power generation and storage to match real-time demand while minimizing cost and emissions.
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Quantum Angle: Use quantum optimization for energy dispatch or quantum Monte Carlo for stochastic forecasting.
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💬 8. Financial Fraud Detection
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Problem: Detect anomalous transactions from large financial datasets in real time.
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Quantum Angle: Use quantum-enhanced feature selection or quantum SVMs to improve detection sensitivity and reduce false positives.
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🧩 9. Product Recommendation Systems
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Problem: Personalize product recommendations based on large-scale user-item interaction data.
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Quantum Angle: Apply quantum Boltzmann machines or quantum-inspired tensor networks for high-dimensional matrix factorization.
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🚀 10. Startup Portfolio Simulation (Venture Capital)
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Problem: Optimize investment allocation across a portfolio of startups to maximize expected value while controlling risk and correlation.
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Quantum Angle: Model uncertainty using quantum probabilistic models and simulate correlated outcomes using quantum-inspired Monte Carlo.

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