Stable Factorization For Phase Factors Of Quantum Signal Processing

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Department of Mathematics, Stanford University, Stanford, CA 94305, USA

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Abstract

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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► BibTeX data

@article{Ying2022stablefactorization, doi = {10.22331/q-2022-10-20-842}, url = {https://doi.org/10.22331/q-2022-10-20-842}, title = {Stable factorization for phase factors of quantum signal processing}, author = {Ying, Lexing}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {6}, pages = {842}, month = oct, year = {2022} }

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Cited by

[1] Di Fang, Lin Lin, and Yu Tong, “Time-marching based quantum solvers for time-dependent linear differential equations”, arXiv:2208.06941.

[2] Yulong Dong, Lin Lin, Hongkang Ni, and Jiasu Wang, “Infinite quantum signal processing”, arXiv:2209.10162.

The above citations are from SAO/NASA ADS (last updated successfully 2022-10-21 13:49:48). The list may be incomplete as not all publishers provide suitable and complete citation data.

On Crossref’s cited-by service no data on citing works was found (last attempt 2022-10-21 13:49:46).

This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.