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Stable factorization for phase factors of quantum signal processing

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arxiv 2202.02671 v3 pith:BPGQAXXX submitted 2022-02-06 quant-ph cs.NAmath.NA

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classification quant-phcs.NAmath.NA
keywords algorithmfactorizationfactorsphaseprocessingquantumsignalstable
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This paper proposes a new factorization algorithm for computing the phase factors of quantum signal processing. The proposed algorithm avoids root finding of high degree polynomials by using a key step of Prony's method and is numerically stable in the double precision arithmetics. Experimental results are reported for Hamiltonian simulation, eigenstate filtering, matrix inversion, and Fermi-Dirac operator.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Progress in the development of quantum algorithms and software

    quant-ph 2025-05 unverdicted novelty 2.0 of 10

    A review of the Russian Quantum Center's 2020-2024 quantum software roadmap, summarizing algorithms, emulators, error correction, and cloud execution, with no new results.

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