1. Portfolio Optimisation with QAOA

Problem: Find the optimal allocation of N assets to maximise return and minimise risk — a combinatorial problem with 2^N possibilities. Quantum advantage: QAOA approximates the optimal solution in polynomial time. For N > 30 assets, classical solvers become infeasible. Full example: github.com/softquantus/qcos/examples/finance/portfolio_qaoa.py

2. Monte Carlo Risk Simulation with Quantum Amplitude Estimation

Problem: Estimate VaR (Value at Risk) or CVaR for a portfolio — requires sampling from complex probability distributions. Quantum advantage: Quantum Amplitude Estimation (QAE) achieves quadratic speedup over classical Monte Carlo (O(1/ε) vs O(1/ε²)).

3. Cost estimate before running on real QPU

Always estimate before submitting financial workloads to real hardware:

More finance examples on GitHub

  • portfolio_qaoa.py — 5 to 30 asset optimisation
  • var_quantum_mc.py — VaR with quantum amplitude estimation
  • option_pricing_qae.py — European option pricing
  • credit_risk_qaoa.py — Credit portfolio risk
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