Options pricing using a quantum Monte Carlo algorithm on Amazon Braket

This article discusses using a quantum Monte Carlo algorithm for options pricing on Amazon Braket. The key points are:

• Monte Carlo methods are widely used for pricing financial instruments but are computationally expensive.
• Quantum Monte Carlo (QMC) algorithms promise a quadratic speedup over classical Monte Carlo, but require large, fault-tolerant quantum computers.
• The article provides background on options pricing and the structure of the QMC algorithm.
• Simulations are performed using PennyLane on Amazon Braket to demonstrate the expected quadratic speedup of QMC for an Asian call option.
• The results show a nearly quadratic speedup in error scaling for QMC compared to classical Monte Carlo.
• Factors affecting the speedup, such as discretization errors and simulation time, are analyzed.