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Quantum State Preparation Representation
Rational degree is polynomially related to degree
arXiv
Authors: Matt Kovacs-Deak, Daochen Wang, Rain Zimin Yang
Year
2026
Paper ID
3882
Status
Preprint
Abstract Read
~2 min
Abstract Words
53
Citations
N/A
Abstract
We prove that deg(f) leq 2 rdeg(f)4 for every Boolean function f, where deg(f) is the degree of f and rdeg(f) is the rational degree of f. This resolves the second of the three open problems stated by Nisan and Szegedy, and attributed to Fortnow, in 1994.
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- This paper contributes to the Quantum State Preparation & Representation research area in the Quantum Articles archive.
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- We prove that deg(f) leq 2 rdeg(f)^4 for every Boolean function f, where deg(f) is the degree of f and rdeg(f) is the rational degree of f.
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