Stable factorization for phase factors of quantum signal processing

Lexing Ying

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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► References

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Cited by

[1] Jiasu Wang, Yulong Dong, and Lin Lin, "On the energy landscape of symmetric quantum signal processing", Quantum 6, 850 (2022).

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

[3] Yulong Dong, Lin Lin, Hongkang Ni, and Jiasu Wang, "Infinite quantum signal processing", arXiv:2209.10162.

The above citations are from Crossref's cited-by service (last updated successfully 2022-11-30 08:32:58) and SAO/NASA ADS (last updated successfully 2022-11-30 08:32:59). The list may be incomplete as not all publishers provide suitable and complete citation data.