Evaluating Quantum Amplitude Estimation for Pricing Multi-Asset Basket Options
- URL: http://arxiv.org/abs/2509.09432v1
- Date: Thu, 11 Sep 2025 13:16:55 GMT
- Title: Evaluating Quantum Amplitude Estimation for Pricing Multi-Asset Basket Options
- Authors: Muhammad Kashif, Shaf Khalid, Nouhaila Innan, Alberto Marchisio, Muhammad Shafique,
- Abstract summary: We investigate the role of quantum-enhanced uncertainty modeling in financial pricing options on real-world data.<n>We use quantum amplitude estimation and analyze the impact of varying the number of uncertainty qubits while keeping the number of assets fixed.
- Score: 2.1702673021505245
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Accurate and efficient pricing of multi-asset basket options poses a significant challenge, especially when dealing with complex real-world data. In this work, we investigate the role of quantum-enhanced uncertainty modeling in financial pricing options on real-world data. Specifically, we use quantum amplitude estimation and analyze the impact of varying the number of uncertainty qubits while keeping the number of assets fixed, as well as the impact of varying the number of assets while keeping the number of uncertainty qubits fixed. To provide a comprehensive evaluation, we establish and validate a hybrid quantum-classical comparison framework, benchmarking quantum approaches against classical Monte Carlo simulations and Black-Scholes methods. Beyond simply computing option prices, we emphasize the trade-off between accuracy and computational resources, offering insights into the potential advantages and limitations of quantum approaches for different problem scales. Our results contribute to understanding the feasibility of quantum methods in finance and guide the optimal allocation of quantum resources in hybrid quantum-classical workflows.
Related papers
- Error-mitigation aware benchmarking strategy for quantum optimization problems [3.026585988755882]
entropy benchmarking does not account for finite-shot effects or for quantum error mitigation.<n>We develop a benchmarking framework that explicitly incorporates finite-shot statistics and the resource overhead induced by QEM.<n>Our framework quantifies quantum advantage through the confidence that an estimated energy lies within an interval defined by the best-known classical upper and lower bounds.
arXiv Detail & Related papers (2026-01-26T16:55:47Z) - Quantum Machine Learning methods for Fourier-based distribution estimation with application in option pricing [42.79174867716636]
We introduce two hybrid classical-quantum methods to address the option pricing problem.<n>We show that the proposed methods achieve remarkable accuracy, becoming a competitive quantum alternative for derivatives valuation.
arXiv Detail & Related papers (2025-10-22T11:43:08Z) - Calibration of Quantum Devices via Robust Statistical Methods [45.464983015777314]
We numerically analyze advanced statistical methods for Bayesian inference against the state-of-the-art in quantum parameter learning.<n>We show advantages of these approaches over existing ones, namely under multi-modality and high dimensionality.<n>Our findings have applications in challenging quantumcharacterization tasks namely learning the dynamics of open quantum systems.
arXiv Detail & Related papers (2025-07-09T15:22:17Z) - Quantum Reservoir Computing for Realized Volatility Forecasting [0.6249768559720121]
Quantum reservoir computing combines quantum computation with machine learning for modeling nonlinear temporal dependencies.<n>In this work, we investigate the application of quantum reservoir computing for realized volatility forecasting.<n>Our results indicate that the proposed quantum reservoir approach consistently outperforms benchmark models across various metrics.
arXiv Detail & Related papers (2025-05-20T05:02:13Z) - A Comparative Study of Quantum Optimization Techniques for Solving Combinatorial Optimization Benchmark Problems [4.266376725904727]
We introduce a comprehensive benchmarking framework designed to evaluate quantum optimization techniques against well-established NP-hard problems.<n>Our framework focuses on key problem classes, including the Multi-Dimensional Knapsack Problem (MDKP), Maximum Independent Set (MIS), Quadratic Assignment Problem (QAP), and Market Share Problem (MSP)
arXiv Detail & Related papers (2025-03-15T13:02:22Z) - Bayesian Quantum Amplitude Estimation [46.03321798937855]
We present BAE, a problem-tailored and noise-aware Bayesian algorithm for quantum amplitude estimation.<n>In a fault tolerant scenario, BAE is capable of saturating the Heisenberg limit; if device noise is present, BAE can dynamically characterize it and self-adapt.<n>We propose a benchmark for amplitude estimation algorithms and use it to test BAE against other approaches.
arXiv Detail & Related papers (2024-12-05T18:09:41Z) - Role of coherence in many-body Quantum Reservoir Computing [3.4078654008228924]
We show how different quantum effects, such as quantum coherence and correlations, contribute to improving the performance in temporal tasks.
We critically assess the impact of finite measurement resources and noise on the reservoir's dynamics in different regimes.
arXiv Detail & Related papers (2024-09-26T11:06:08Z) - On Quantum Ambiguity and Potential Exponential Computational Speed-Ups to Solving Dynamic Asset Pricing Models [0.0]
We formulate quantum computing solutions to a large class of dynamic nonlinear asset pricing models.<n>We introduce quantum decision-theoretic foundations of ambiguity and model/ parameter uncertainty to deal with model selection.
arXiv Detail & Related papers (2024-05-02T17:11:55Z) - Near-Term Distributed Quantum Computation using Mean-Field Corrections
and Auxiliary Qubits [77.04894470683776]
We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production.
We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
arXiv Detail & Related papers (2023-09-11T18:00:00Z) - Potential and limitations of quantum extreme learning machines [55.41644538483948]
We present a framework to model QRCs and QELMs, showing that they can be concisely described via single effective measurements.
Our analysis paves the way to a more thorough understanding of the capabilities and limitations of both QELMs and QRCs.
arXiv Detail & Related papers (2022-10-03T09:32:28Z) - Synergy Between Quantum Circuits and Tensor Networks: Short-cutting the
Race to Practical Quantum Advantage [43.3054117987806]
We introduce a scalable procedure for harnessing classical computing resources to provide pre-optimized initializations for quantum circuits.
We show this method significantly improves the trainability and performance of PQCs on a variety of problems.
By demonstrating a means of boosting limited quantum resources using classical computers, our approach illustrates the promise of this synergy between quantum and quantum-inspired models in quantum computing.
arXiv Detail & Related papers (2022-08-29T15:24:03Z) - Experimental violations of Leggett-Garg's inequalities on a quantum
computer [77.34726150561087]
We experimentally observe the violations of Leggett-Garg-Bell's inequalities on single and multi-qubit systems.
Our analysis highlights the limits of nowadays quantum platforms, showing that the above-mentioned correlation functions deviate from theoretical prediction as the number of qubits and the depth of the circuit grow.
arXiv Detail & Related papers (2021-09-06T14:35:15Z) - Quantum circuit architecture search for variational quantum algorithms [88.71725630554758]
We propose a resource and runtime efficient scheme termed quantum architecture search (QAS)
QAS automatically seeks a near-optimal ansatz to balance benefits and side-effects brought by adding more noisy quantum gates.
We implement QAS on both the numerical simulator and real quantum hardware, via the IBM cloud, to accomplish data classification and quantum chemistry tasks.
arXiv Detail & Related papers (2020-10-20T12:06:27Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.