Workshop Description
Monte Carlo simulation is the workhorse of derivatives pricing. A bank running end-of-day VaR across a large exotic derivatives book may execute billions of simulation paths, consuming hours of compute time on classical hardware. Quantum amplitude estimation (QAE) offers a theoretical quadratic speedup: where classical Monte Carlo convergence scales as O(1/N), QAE scales as O(1/sqrt(N)), potentially halving the number of samples needed for equivalent accuracy. The practical challenge is that QAE requires deep quantum circuits, and current NISQ hardware introduces noise that degrades results before the speedup materialises. This workshop quantifies exactly where that boundary sits today.
The session covers QAE applied to European and Asian option pricing, quantum gradient estimation for computing Greeks on exotic and path-dependent derivatives, and quantum Monte Carlo approaches to VaR and CVA computation. Each topic includes benchmark-specific performance comparisons between quantum and classical methods, with honest assessments of qubit counts, circuit depths, and gate fidelities required for practically useful pricing accuracy. Participants work through a facilitator-led demonstration that prices a European call option using QAE on a simulated quantum backend alongside classical Monte Carlo, interpreting the results and assessing when quantum speedup is genuine versus when noise erases the advantage. The session concludes with integration architecture for hybrid classical-quantum pricing workflows and FRTB model risk considerations for quantum-enhanced models.
What participants cover
- Quantum amplitude estimation (QAE) for option pricing: encoding payoff functions, state preparation, and convergence analysis
- Greeks computation with quantum gradients: delta, gamma, and vega for exotic and path-dependent derivatives
- Quantum Monte Carlo for VaR and Expected Shortfall: where QMC outperforms classical MC and where it does not
- CVA acceleration: quantum amplitude estimation applied to credit valuation adjustment calculations
- NISQ hardware assessment: qubit counts, circuit depths, and noise thresholds for production pricing accuracy
- Hybrid integration architecture: offloading specific pricing sub-problems to quantum within existing risk infrastructure