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Quantum signal processing (QSP) is a highly successful algorithmic primitive in quantum computing which leads to conceptually simple and efficient quantum algorithms using the block-encoding framework of quantum linear algebra.
Efficient phase-factor evaluation in quantum signal processing
Yulong Dong, Xiang Meng, K. Birgitta Whaley, and Lin Lin · 2002
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Hamiltonian simulation using linear combinations of unitary operations
Andrew M. Childs and Nathan Wiebe · 2012
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Methodology of resonant equiangular composite quantum gates
Guang Hao Low, Theodore J. Yoder, and Isaac L. Chuang · 2016
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Hamiltonian simulation by uniform spectral amplification
Guang Hao Low and Isaac L. Chuang · 2017
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Optimal Hamiltonian simulation by quantum signal processing
Guang Hao Low and Isaac L. Chuang · 2017
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Shantanav Chakraborty, András Gilyén, and Stacey Jeffery · 2019
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András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
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Product Decomposition of Periodic Functions in Quantum Signal Processing
Jeongwan Haah · 2019
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Hamiltonian simulation by qubitization
Guang Hao Low and Isaac L. Chuang · 2019
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Finding angles for quantum signal processing with machine precision
Rui Chao, Dawei Ding, András Gilyén, Cupjin Huang, and Márió Szegedy · 2020
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On the energy landscape of symmetric quantum signal processing
Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle
Zane M. Rossi and Isaac L. Chuang · 2022
Later among the works it cites.
Quantum algorithms: A survey of applications and end-to-end complexities
Alexander M. Dalzell, Sam McArdle, Mario Berta, Przemyslaw Bienias, Chi-Fang Chen, András Gilyén, Connor T. Hann, Michael J. Kastoryano, Emil T. Khabiboulline, Aleksander Kubica, Grant Salton, Samson Wang, and Fernando G. S. L. Brandão · 2023
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Source code available at https://github.com/blankino/MQSP-examples , 2023
2023
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Comment on "Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle"
Hitomi Mori, Keisuke Fujii, and Kaoru Mizuta · 2023
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Jiasu Wang, Yulong Dong, and Lin Lin · 2021
Cited alongside, same era.
Danial Motlagh and Nathan Wiebe · 2023
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