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 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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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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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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Research of Quantum Algorithm Based on IBM Q Platform [PDF]
Jisuanji gongcheng, 2018 To explore the implementation status of multi-bit quantum algorithm in quantum chips and simulators,Grover search algorithm,quantum random walk algorithm and quantum Fourier transform algorithm are run on IBM quantum chips and simulators respectively.For
WEI Jia,NI Ming,ZHOU Ming,JIANG Wenbing
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Average-Case Verification of the Quantum Fourier Transform Enables Worst-Case Phase Estimation [PDF]
Quantum, 2022 The quantum Fourier transform (QFT) is a key primitive for quantum computing that is typically used as a subroutine within a larger computation, for instance for phase estimation.
Noah Linden, Ronald de Wolf
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Sequential Quantum Multiparty Signature Based on Quantum Fourier Transform and Chaotic System
IEEE Access, 2020 Motivated by the quantum Fourier transform (QFT), a sequential quantum multiparty signature (QMS) scheme is proposed. Several signatories jointly accomplish the task in a chaotic encryption system. Alice generates and sends the encrypted message with the
Xiaoping Lou +4 more
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Quantum Computing Concepts with Deutsch Jozsa Algorithm
JOIV: International Journal on Informatics Visualization, 2019 In this paper, we briefly review the basic concepts of quantum computation, entanglement, quantum cryptography and quantum fourier transform. Quantum algorithms like Deutsch Jozsa, Shor’s factorization and Grover’s data search are developed using ...
Poornima Aradyamath +2 more
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Rotational abstractions for verification of quantum Fourier transform circuits
IET Quantum Communication, 2023 With the race to build large‐scale quantum computers and efforts to exploit quantum algorithms for efficient problem solving in science and engineering disciplines, the requirement to have efficient and scalable verification methods are of vital ...
Arun Govindankutty +2 more
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