… is a subject that combines an algebraic Fourier transform (pictorial in the case of subfactor
… such as quantum symmetry. We establish bounds on the quantum Fourier transform F , as a …

… quantum Fourier analysis tools to efficiently represent functions and operators in a quantum
register, as well as an encoding of functions in the form of suitable variational quantum …

… quantum Fourier transform—referred to as Fourier sampling—is the only known nontrivial
quantum … In this article we focus on the construction of efficient quantum Fourier transforms. …

… the quantum watermark strategy for quantum images based on quantum Fourier transform
… It is aimed to embed the watermark image into the Fourier coefficients of the quantum carrier …

… quantum operation studied was the quantum Fourier transform, which is important in several
quantum … This analysis yielded a superoperator consisting of a unitary part that was strongly …

… on Fourier coefficients. In this paper, we detail a new quantum scheme to encode Fourier …
In this paper, we introduce a new quantum scheme for computing the Fourier transform and …

… what conditions can an appropriately truncated Fourier series (which we can efficiently …
Fourier series. We show that for sparse Fourier decompositions then the low-dimensional Fourier …

… Current vehicle systems rely on Fourier Transformation to evaluate the frequency domain
for vehicle control. This study demonstrates the use of a Quantum Fourier Transform (QFT) to …

… discrete Fourier transform (DFT) matrix. In this paper, we show that the quantum Fourier
transform (… We analyze the implication of this Kronecker product structure on the discrete Fourier …

… into Fourier analysis by AP Calderón and A. Zygmund in the 1950’s. We begin in Chapter
1 with a review of Fourier … Those presented in this chapter are useful in the study of Fourier …