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Realization of the quantum Fourier transform and simulation of a wave function on a quantum computer with fixed continuous interaction

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Abstract

A model of a quantum computer with diagonal continuous interaction between qubits is proposed. Such a computer is controlled only by short single-qubit operations. The realization of quantum Fourier transform and simulation of the wave function of a many-particle problem with linear and quadratic potentials on this quantum computer are discussed. This method applies to a wide class of diagonal interactions and to the case, where the interactions of different qubits are different.

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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 76, No. 10, 2002, pp. 746–751.

Original Russian Text Copyright © 2002 by Ozhigov.

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Ozhigov, Y. Realization of the quantum Fourier transform and simulation of a wave function on a quantum computer with fixed continuous interaction. Jetp Lett. 76, 641–645 (2002). https://doi.org/10.1134/1.1541053

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  • DOI: https://doi.org/10.1134/1.1541053

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