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Multivariable Quantum Signal Processing (M-QSP) [1] is expected to provide an efficient means to handle polynomial transformations of multiple variables simultaneously.
“Algorithms for quantum computation: discrete logarithms and factoring”
Peter W. Shor · 1994
Earlier work this paper cites.
“Universal quantum simulators”
Seth Lloyd · 1996
Earlier work this paper cites.
“Quantum algorithm for linear systems of equations”
Aram W. Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
Earlier work this paper cites.
“Methodology of resonant equiangular composite quantum gates”
Guang H. Low, Theodore J. Yoder, and Isaac L. Chuang · 2016
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.
“Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle”
Zane M. Rossi and Isaac L. Chuang · 2022
Cited alongside, same era.
“On variants of multivariate quantum signal processing and their characterizations” (2023)
Balázs Németh, Blanka Kövér, Boglárka Kulcsár, Roland Botond Miklósi, and András Gilyén · 2023
Cited alongside, same era.
“On multivariate polynomials achievable with quantum signal processing” (2024)
Lorenzo Laneve and Stefan Wolf · 2024
Cited alongside, same era.
“Multivariable qsp and bosonic quantum simulation using iterated quantum signal processing” (2024)
Niladri Gomes, Hokiat Lim, and Nathan Wiebe · 2024
Closest in time.
“Efficient state preparation for multivariate monte carlo simulation” (2024)
Hitomi Mori, Kosuke Mitarai, and Keisuke Fujii · 2024
Closest in time.
“Polynomial time constructive decision algorithm for multivariable quantum signal processing” (2024)
Yuki Ito, Hitomi Mori, Kazuki Sakamoto, and Keisuke Fujii · 2024
Closest in time.
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