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Quantum Weighted Fractional Fourier Transform
Mathematics, 2022 Quantum Fourier transform (QFT) is an important part of many quantum algorithms. However, there are few reports on quantum fractional Fourier transform (QFRFT).
Tieyu Zhao, Yingying Chi
exaly +4 more sources
Circuit of Quantum Fractional Fourier Transform
Fractal and Fractional, 2023 In this paper, we first use the quantum Fourier transform (QFT) and quantum phase estimation (QPE) to realize the quantum fractional Fourier transform (QFrFT).
Tieyu Zhao, Yingying Chi
exaly +3 more sources
Implementation of Period-Finding Algorithm by Means of Simulating Quantum Fourier Transform [PDF]
Journal of Intelligent Procedures in Electrical Technology, 2010 In this paper, we introduce quantum fourier transform as a key ingredient for many useful algorithms. These algorithms make a solution for problems which is considered to be intractable problems on a classical computer.
Zohreh Moghareh Abed +2 more
doaj +1 more source
The Fourier Transform on Quantum Euclidean Space [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Kevin Coulembier
doaj +2 more sources
A Reverse of the Cauchy-Bunyakovsky-Schwarz Integral Inequality for Complex-Valued Functions and Applications for Fourier Transform [PDF]
, 2004 A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are ...
Hanna, George T +2 more
core +5 more sources
Quantum Voting Protocol Based on Quantum Fourier Transform Summation [PDF]
Jisuanji kexue, 2022 To solve the problem that the user information is easy to be stolen in the traditional electronic voting,and the existing quantum voting generally has low computational efficiency,a quantum voting protocol based on the combination of quantum Fourier ...
FENG Yan, WANG Rui-cong
doaj +1 more source
Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +2 more
core +3 more sources
Quantum Weighted Fractional-Order Transform
Fractal and Fractional, 2023 Quantum Fourier transform (QFT) transformation plays a very important role in the design of many quantum algorithms. Fractional Fourier transform (FRFT), as an extension of the Fourier transform, is particularly important due to the design of its quantum
Tieyu Zhao, Yingying Chi
doaj +1 more source
Quantum Fourier transform for nanoscale quantum sensing
npj Quantum Information, 2021 The quantum Fourier transformation (QFT) is a key building block for a whole wealth of quantum algorithms. Despite its proven efficiency, only a few proof-of-principle demonstrations have been reported. Here we utilize QFT to enhance the performance of a
Vadim Vorobyov +6 more
doaj +1 more source
Quantum Fourier Transform Has Small Entanglement
PRX Quantum, 2023 The quantum Fourier transform (QFT) is a key component of many important quantum algorithms, most famously being the essential ingredient in Shor’s algorithm for factoring products of primes.
Jielun Chen (陈捷伦) +2 more
doaj +1 more source