Autocallable Options Pricing with Integration-Based Exponential Amplitude Loading

Fuente: arXiv
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Hauptverfasser: Cibrario, Francesca, Cohen, Ron, Dri, Emanuele, Mattia, Christian, Golan, Or Samimi, Danzig, Tamuz, Ranieri, Giacomo, Rosemarin, Hanan, Corbelletto, Davide, Naveh, Amir, Montrucchio, Bartolomeo
Format: Preprint
Veröffentlicht: 2025
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author Cibrario, Francesca
Cohen, Ron
Dri, Emanuele
Mattia, Christian
Golan, Or Samimi
Danzig, Tamuz
Ranieri, Giacomo
Rosemarin, Hanan
Corbelletto, Davide
Naveh, Amir
Montrucchio, Bartolomeo
author_facet Cibrario, Francesca
Cohen, Ron
Dri, Emanuele
Mattia, Christian
Golan, Or Samimi
Danzig, Tamuz
Ranieri, Giacomo
Rosemarin, Hanan
Corbelletto, Davide
Naveh, Amir
Montrucchio, Bartolomeo
contents We present a comprehensive quantum algorithm tailored for pricing autocallable options, offering a full implementation and experimental validation. Our experiments include simulations conducted on high-performance computing (HPC) hardware, along with an empirical analysis of convergence to the classically estimated value. Our key innovation is an improved integration-based exponential amplitude loading technique that reduces circuit depth compared to state-of-the-art approaches. A detailed complexity analysis in a relevant setting shows an approximately 50x reduction in T-depth for the payoff component relative to previous methods. These contributions represent a step toward more efficient quantum approaches to pricing complex financial derivatives.
format Preprint
id arxiv_https___arxiv_org_abs_2507_19039
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Autocallable Options Pricing with Integration-Based Exponential Amplitude Loading
Cibrario, Francesca
Cohen, Ron
Dri, Emanuele
Mattia, Christian
Golan, Or Samimi
Danzig, Tamuz
Ranieri, Giacomo
Rosemarin, Hanan
Corbelletto, Davide
Naveh, Amir
Montrucchio, Bartolomeo
Quantum Physics
Emerging Technologies
Pricing of Securities
We present a comprehensive quantum algorithm tailored for pricing autocallable options, offering a full implementation and experimental validation. Our experiments include simulations conducted on high-performance computing (HPC) hardware, along with an empirical analysis of convergence to the classically estimated value. Our key innovation is an improved integration-based exponential amplitude loading technique that reduces circuit depth compared to state-of-the-art approaches. A detailed complexity analysis in a relevant setting shows an approximately 50x reduction in T-depth for the payoff component relative to previous methods. These contributions represent a step toward more efficient quantum approaches to pricing complex financial derivatives.
title Autocallable Options Pricing with Integration-Based Exponential Amplitude Loading
topic Quantum Physics
Emerging Technologies
Pricing of Securities
url https://arxiv.org/abs/2507.19039