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quant-ph2025

On the Classical Shadow Nonparametric Bootstrap

Eric Ghysels, Jack Morgan

Classical shadows are an efficient method for constructing an approximate classical description of a quantum state using very few measurements. In the paper we propose to enhance c…

quant-ph2025

Improving Quantum Recurrent Neural Networks with Amplitude Encoding

Jack Morgan, Hamed Mohammadbagherpoor, Eric Ghysels

Quantum machine learning holds promise for advancing time series forecasting. The Quantum Recurrent Neural Network (QRNN), inspired by classical RNNs, encodes temporal data into qu…

quant-ph2025

On Quantum and Quantum-Inspired Maximum Likelihood Estimation and Filtering of Stochastic Volatility Models

Eric Ghysels, Jack Morgan, Hamed Mohammadbagherpoor

Stochastic volatility models are the backbone of financial engineering. We study both continuous time diffusions as well as discrete time models. We propose two novel approaches to…

quant-ph2024

An Enhanced Hybrid HHL Algorithm

Jack Morgan, Eric Ghysels, Hamed Mohammadbagherpoor

We present a classical enhancement to improve the accuracy of the Hybrid variant (Hybrid HHL) of the quantum algorithm for solving linear systems of equations proposed by Harrow, H…

quant-ph2023

Quantum Computational Algorithms for Derivative Pricing and Credit Risk in a Regime Switching Economy

Eric Ghysels, Jack Morgan, Hamed Mohammadbagherpoor

Quantum computers are not yet up to the task of providing computational advantages for practical stochastic diffusion models commonly used by financial analysts. In this paper we i…