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Symmetric quantum signal processing provides a parameterized representation of a real polynomial, which can be translated into an efficient quantum circuit for performing a wide range of computational tasks on quantum computers.
On some inequalities for polynomials in several variables
K. Mahler · 1962
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On the Goldstein-Levitin-Polyak gradient projection method
D. P. Bertsekas · 1976
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Matrix Computations
G. H. Golub and C. F. Van Loan · 1996
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Iterative methods for optimization
C. T. Kelley · 1999
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Numerical optimization
J. Nocedal and S. J. Wright · 1999
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Quantum computation and quantum information
M. A. Nielsen and I. Chuang · 2000
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Accuracy and Stability of Numerical Algorithms
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Sur un nouvel et important théorème de la théorie des fonctions
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Product decomposition of periodic functions in quantum signal processing
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Near-optimal ground state preparation
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Optimal quantum eigenstate filtering with application to solving quantum linear systems
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Efficient phase factor evaluation in quantum signal processing
Y. Dong, X. Meng, K. B. Whaley, and L. Lin · 2021
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A grand unification of quantum algorithms
J. M. Martyn, Z. M. Rossi, A. K. Tan, and I. L. Chuang · 2021
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Stable factorization for phase factors of quantum signal processing
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