Back to projects
Nov 02, 2026
1 min read

Quantum Amplitude Estimation for Option Pricing

Pricing European call options with quantum amplitude estimation in Qiskit, benchmarked against Monte Carlo.

October to November 2026, group project for NTU’s SC4055 Quantum Computing module

Banks price options with Monte Carlo simulation, whose error shrinks like 1/√M in the number of samples. Quantum amplitude estimation (QAE) estimates the same value with error shrinking like 1/M, a quadratic speedup. This project tests that claim in simulation.

  • Implemented iterative and canonical QAE to price European call options, and benchmarked them against maximum-likelihood QAE and classical Monte Carlo.
  • Reproduced iterative QAE’s quadratic speedup in simulation and measured its cost: canonical QAE needed circuits about 20 times deeper.