Results 11 to 20 of about 2,036,649 (124)
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
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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 +5 more
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Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation [PDF]
, 2004 In this paper we point out an approximation for the Fourier transform for functions of bounded variation and study the approximation error of certain associated quadrature ...
Hanna, George T +2 more
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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
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Error Estimates on Approximating the Finite Fourier Transform of Complex-Valued Functions via a Pre-Grüss Inequality [PDF]
, 2004 Some estimates for the error in approximating the Finite Fourier Transform in terms of exponential means via a pre-Grüss inequality for complex-valued functions are ...
Hanna, George T +2 more
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Generic quantum Fourier transforms [PDF]
ACM Transactions on Algorithms, 2006 The quantum Fourier transform (QFT) is a principal ingredient appearing in many efficient quantum algorithms. We present a generic framework for the construction of efficient quantum circuits for the QFT by “quantizing” the highly successful separation of variables technique for the ...
Cristopher Moore +2 more
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Implementation of the Quantum Fourier Transform [PDF]
Physical Review Letters, 2001 Physical Review ...
Y S, Weinstein +4 more
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Quantum Fourier transform revisited
Numerical Linear Algebra with Applications, 2020 SummaryThe fast Fourier transform (FFT) is one of the most successful numerical algorithms of the 20th century and has found numerous applications in many branches of computational science and engineering. The FFT algorithm can be derived from a particular matrix decomposition of the discrete Fourier transform (DFT) matrix.
Daan Camps +2 more
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Quantum process tomography of the quantum Fourier transform [PDF]
The Journal of Chemical Physics, 2004 The results of quantum process tomography on a three-qubit nuclear magnetic resonance quantum information processor are presented and shown to be consistent with a detailed model of the system-plus-apparatus used for the experiments. The quantum operation studied was the quantum Fourier transform, which is important in several quantum algorithms and ...
Weinstein, Yaakov S. +6 more
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A quantum multiplier based on the quantum Fourier transform algorithm
Dianzi Jishu Yingyong, 2022 Multiplier is one of the basic units in many quantum algorithms. In order to implement the multiplying operations and use as few auxiliary qubits in the quantum circuit as possible, a quantum multiplier based on the quantum Fourier transform is proposed.
Qian Junkai, Zhu Jialiang, Ye Bin
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