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Quantum state preparation is a task to prepare a state with a specific function encoded in the amplitude, which is an essential subroutine in many quantum algorithms.
Monte Carlo Simulation of Semiconductor Devices
Carlo Jacoboni and Paolo Lugli · 1989
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Algorithms for quantum computation: discrete logarithms and factoring
Peter W. Shor · 1994
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Universal quantum simulators
Seth Lloyd · 1996
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Synthesis of quantum superpositions by quantum computation
Lov K. Grover · 2000
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Creating superpositions that correspond to efficiently integrable probability distributions, 2002
Lov Grover and Terry Rudolph · 2002
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Monte Carlo Methods in Financial Engineering
Paul Glasserman · 2003
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Transformation of quantum states using uniformly controlled rotations, 2004
Mikko Mottonen, Juha J. Vartiainen, Ville Bergholm, and Martti M. Salomaa · 2004
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Statistical Mechanics: Algorithms and Computations
Werner Krauth · 2006
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Quantum algorithm for linear systems of equations
Aram W. Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
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Quantum algorithms for quantum field theories
Stephen P. Jordan, Keith S. M. Lee, and John Preskill · 2012
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Quantum speedup of monte carlo methods
Ashley Montanaro · 2015
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Optimizing quantum circuits for arithmetic, 2018
Thomas Häner, Martin Roetteler, and Krysta M. Svore · 2018
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Black-box quantum state preparation without arithmetic
Yuval R. Sanders, Guang Hao Low, Artur Scherer, and Dominic W. Berry · 2019
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Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
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Quantum risk analysis
Stefan Woerner and Daniel J. Egger · 2019
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No quantum speedup with grover-rudolph state preparation for quantum monte carlo integration
Steven Herbert · 2021
Cited alongside, same era.
Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle
Zane M. Rossi and Isaac L. Chuang · 2022
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Quantum state preparation without coherent arithmetic, 2022
Sam McArdle, András Gilyén, and Mario Berta · 2022
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Grid-based methods for chemistry simulations on a quantum computer
Hans Hon Sang Chan, Richard Meister, Tyson Jones, David P. Tew, and Simon C. Benjamin · 2023
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Linear-depth quantum circuits for loading fourier approximations of arbitrary functions
Mudassir Moosa, Thomas W Watts, Yiyou Chen, Abhijat Sarma, and Peter L McMahon · 2023
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On variants of multivariate quantum signal processing and their characterizations, 2023
Balázs Németh, Blanka Kövér, Boglárka Kulcsár, Roland Botond Miklósi, and András Gilyén · 2023
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Grand unification of quantum algorithms
John M. Martyn, Zane M. Rossi, Andrew K. Tan, and Isaac L. Chuang · 2021
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Pricing multi-asset derivatives by variational quantum algorithms, 2022
Kenji Kubo, Koichi Miyamoto, Kosuke Mitarai, and Keisuke Fujii · 2022
Cited alongside, same era.
Preparing arbitrary continuous functions in quantum registers with logarithmic complexity, 2022
Arthur G. Rattew and Bálint Koczor · 2022
Cited alongside, same era.
Fast Black-Box Quantum State Preparation
Johannes Bausch · 2022
Cited alongside, same era.
Poly-time constructive decision program for mutlivariable quantum signal processing (in preparation)
Yuki Ito, Hitomi Mori, Kazuki Sakamoto, and Keisuke Fujii
Cited in the paper.
Comment on ”Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle”, 2023
Hitomi Mori, Keisuke Fujii, and Kaoru Mizuta · 2023
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Quantum algorithm for copula-based risk aggregation using orthogonal series density estimation, 2024
Hitomi Mori and Koichi Miyamoto · 2024
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Quantum state preparation for multivariate functions, 2024
Matthias Rosenkranz, Eric Brunner, Gabriel Marin-Sanchez, Nathan Fitzpatrick, Silas Dilkes, Yao Tang, Yuta Kikuchi, and Marcello Benedetti · 2024
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Quantum risk analysis of financial derivatives, 2024
Nikitas Stamatopoulos, B. David Clader, Stefan Woerner, and William J. Zeng · 2024
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