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Standard quantum amplitude estimation algorithms provide quadratic speedup to Monte-Carlo simulations but require a circuit depth that scales as inverse of the estimation error.
Quantum amplitude amplification and estimation, 2002
Gilles Brassard, Peter Høyer, Michele Mosca, and Alain Tapp · 2002
Earlier work this paper cites.
Quantum speedup of monte carlo methods
Ashley Montanaro · 2015
Earlier work this paper cites.
Hamiltonian simulation by uniform spectral amplification, 2017
Guang Hao Low and Isaac L. Chuang · 2017
Earlier work this paper cites.
Quantum computational finance: Monte carlo pricing of financial derivatives
Patrick Rebentrost, Brajesh Gupt, and Thomas R. Bromley · 2018
Earlier work this paper cites.
Quantum risk analysis
Stefan Woerner and Daniel J. Egger · 2019
Earlier work this paper cites.
Lower bounds for parallel quantum counting, 2019
Paul Burchard · 2019
Earlier work this paper cites.
Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
Cited alongside, same era.
Option pricing using quantum computers
Nikitas Stamatopoulos, Daniel J. Egger, Yue Sun, Christa Zoufal, Raban Iten, Ning Shen, and Stefan Woerner · 2020
Cited alongside, same era.
Amplitude estimation without phase estimation
Yohichi Suzuki, Shumpei Uno, Rudy Raymond, Tomoki Tanaka, Tamiya Onodera, and Naoki Yamamoto · 2020
Cited alongside, same era.
Quantum Approximate Counting, Simplified
Scott Aaronson and Patrick Rall · 2020
Cited alongside, same era.
Credit risk analysis using quantum computers
D. J. Egger, R. Garcia Gutierrez, J. Mestre, and S. Woerner · 2021
Cited alongside, same era.
Iterative quantum amplitude estimation
Dmitry Grinko, Julien Gacon, Christa Zoufal, and Stefan Woerner · 2021
Later among the works it cites.
Low depth algorithms for quantum amplitude estimation
Tudor Giurgica-Tiron, Iordanis Kerenidis, Farrokh Labib, Anupam Prakash, and William Zeng · 2022
Later among the works it cites.
Quantum tomography using state-preparation unitaries, 2022
Joran van Apeldoorn, Arjan Cornelissen, András Gilyén, and Giacomo Nannicini · 2022
Later among the works it cites.
Amplitude estimation from quantum signal processing
Patrick Rall and Bryce Fuller · 2023
Later among the works it cites.
A Sublinear-Time Quantum Algorithm for Approximating Partition Functions
Arjan Cornelissen and Yassine Hamoudi · 2023
Later among the works it cites.
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