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Quantum Fourier Transform Simulation Based on "Songshan" Supercomputer System [PDF]
Jisuanji kexue, 2021 The "Songshan" supercomputer system is a new generation of heterogeneous supercomputer cluster independently developed by China.The CPU and DCU accelerators it carries are all independently developed by my country.In order to expand the scientific ...
XIE Jing-ming, HU Wei-fang, HAN Lin, ZHAO Rong-cai, JING Li-na
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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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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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Fourier-transform quantum state tomography [PDF]
Physical Review A, 2013 7 pages, 4 figures, minor changes from ...
Mohammadi, Mohammadreza +2 more
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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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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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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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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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The Fourier Transform on Quantum Euclidean Space [PDF]
, 2010 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.
Coulembier, Kevin
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Quantum Fourier transform, Heisenberg groups and quasiprobability distributions [PDF]
, 2011 This paper aims to explore the inherent connection among Heisenberg groups, quantum Fourier transform and (quasiprobability) distribution functions. Distribution functions for continuous and finite quantum systems are examined first as a semiclassical ...
Arthurs E +20 more
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