Results 21 to 30 of about 2,036,649 (124)
Approximate quantum Fourier transform and decoherence [PDF]
Physical Review A, 1996 We discuss the advantages of using the approximate quantum Fourier transform (AQFT) in algorithms which involve periodicity estimations. We analyse quantum networks performing AQFT in the presence of decoherence and show that extensive approximations can be made before the accuracy of AQFT (as compared with regular quantum Fourier transform) is ...
Barenco, A +3 more
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Applications of Fourier transform infrared spectroscopy [PDF]
, 2012 Podeu consultar el llibre complet a: http://hdl.handle.net/2445/32166This article summarizes the basic principles of Fourier Transform Infrared Spectroscopy, with examples of methodologies and applications to different field ...
Ferrer i Felis, Núria
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Shor's Algorithm Using Efficient Approximate Quantum Fourier Transform
IEEE Transactions on Quantum Engineering, 2023 Shor's algorithm solves the integer factoring and discrete logarithm problems in polynomial time. Therefore, the evaluation of Shor's algorithm is essential for evaluating the security of currently used public-key cryptosystems because the ...
Kento Oonishi, Noboru Kunihiro
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Digital-analog quantum algorithm for the quantum Fourier transform
Physical Review Research, 2020 Quantum computers will allow calculations beyond existing classical computers. However, current technology is still too noisy and imperfect to construct a universal digital quantum computer with quantum error correction.
Ana Martin +3 more
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Quantum-inspired algorithms for multivariate analysis: from interpolation to partial differential equations [PDF]
Quantum, 2021 In this work we study the encoding of smooth, differentiable multivariate functions in quantum registers, using quantum computers or tensor-network representations. We show that a large family of distributions can be encoded as low-entanglement states of
Juan José García-Ripoll
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Random fractional Fourier transform : stochastic perturbations along the axis of propagation [PDF]
, 1999 The fractional Fourier transform (FRT) is known to be optically implementable with use of a medium with a perfect radial quadratic-index profile. Using the quantum-mechanical operator formalism, we examine the effects on the FRT action of such a medium
Abe, Sumiyoshi, Sheridan, John T.
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More on the quantum harmonic oscillator via unilateral Fourier transform [PDF]
Revista Brasileira de Ensino de Física, 2022 The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of
Douglas Willian Vieira +1 more
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Applied Sciences, 2023 The Radon transform constitutes the conventional tool for tomosynthesis, i.e., the composition of cross-sections of an object from its projections. It is actually a version of the Fourier Transform, which is accompanied by the appropriate digital high ...
Georgia Koukiou +1 more
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Quantum circuit for the fast Fourier transform [PDF]
Quantum Information Processing, 2020 AbstractWe propose an implementation of the algorithm for the fast Fourier transform (FFT) as a quantum circuit consisting of a combination of some quantum gates. In our implementation, a data sequence is expressed by a tensor product of vector spaces. Namely, our FFT is defined as a transformation of the tensor product of quantum states.
Ryo Asaka, Kazumitsu Sakai, Ryoko Yahagi
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Fourier transforming a trapped Bose-Einstein condensate by waiting a quarter of the trap period: simulation and applications [PDF]
, 2006 We investigate the property of isotropic harmonic traps to Fourier transform a weakly interacting Bose–Einstein condensate (BEC) every quarter of a trap period.
Ohberg, Patrik; id_orcid +5 more
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