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Quantum arithmetic with the quantum Fourier transform [PDF]
Quantum Information Processing, 2017 The Quantum Fourier Transform offers an interesting way to perform arithmetic operations on a quantum computer. We review existing Quantum Fourier Transform adders and multipliers and propose some modifications that extend their capabilities. Among the new circuits, we propose a quantum method to compute the weighted average of a series of inputs in ...
Lidia Ruiz-Perez +1 more
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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
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Implementation of quantum and classical discrete fractional Fourier transforms
Nature Communications, 2016 Fourier analysis has become a standard tool in contemporary science. Here, Weimann et al. report classical and quantum optical realizations of the discrete fractional Fourier transform, a generalization of the Fourier transform, with potential ...
Steffen Weimann +11 more
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Quantum algorithms and the Fourier transform [PDF]
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1998 18 pages Latex.
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A Quantum Proxy Signature Scheme Without Restrictions on the Identity and Number of Verifiers [PDF]
EntropyQuantum digital signatures (QDS) establish a framework for information-theoretically secure authentication in quantum networks. As a specialized extension of QDS, quantum proxy signatures facilitate secure delegation of signing privileges in distributed ...
Siyu Xiong
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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
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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
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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
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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 ...
Moore, Cristopher +2 more
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Quantum states of a particle in a box via unilateral Fourier transform [PDF]
Revista Brasileira de Ensino de Física, 2020 The quantum problem of stationary states of a particle in a box is revisited by means of the unilateral Fourier transform. Homogeneous Dirichlet boundary conditions demand a finite Fourier sine transform which is actually the Fourier sine series.
Douglas W. Vieira, Antonio S. de Castro
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