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Quantum signal processing (QSP) and the quantum singular value transformation (QSVT) are pivotal tools for simplifying the development of quantum algorithms.
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G. H. Low, Quantum Signal Processing by Single-Qubit Dynamics , Thesis , Massachusetts Institute of Technology (2017)
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A. Gilyén, Y. Su, G. H. Low, and N. Wiebe, Quantum singular value transformation and beyond: Exponential improvements for quantum matrix arithmetics, in Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing (ACM, 2019) pp. 193–204
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G. H. Low and I. L. Chuang, Hamiltonian Simulation by Qubitization, Quantum 3
2019
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J. Haah, Product Decomposition of Periodic Functions in Quantum Signal Processing, Quantum 3
2019
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Y. R. Sanders, G. H. Low, A. Scherer, and D. W. Berry, Black-Box Quantum State Preparation without Arithmetic, Physical Review Letters 122
2019
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A. Cornelissen, S. Jeffery, M. Ozols, and A. Piedrafita, Span programs and quantum time complexity, in 45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020) , Leibniz International Proceedings in Informatics (LIPIcs), Vol. 170 (Schloss Dagstuhl–Leibniz-Zentrum für Informatik, 2020) pp. 26:1–26:14
2020
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J. M. Martyn, Z. M. Rossi, A. K. Tan, and I. L. Chuang, A Grand Unification of Quantum Algorithms, PRX Quantum 2
2021
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2023
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