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Quantum Simulation

The Fast Mode-Fourier-Transform and the bands of the Bethe chain

arXiv

Authors: Jose Reslen

Year

2024

Paper ID

37642

Status

Preprint

Abstract Read

~2 min

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Abstract

A many-body Fourier transformation with logarithmic scaling in the number of necessary two-site gates is implemented. The protocol is applied to study the Bethe chain as a prototype of a translationally invariant system. The resulting band diagram features a flat pattern highly correlated to interaction mechanisms. The introduced protocol can be applied to a wide spectrum of scenarios and can offer new possibilities of simulation and analysis.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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A many-body Fourier transformation with logarithmic scaling in the number of necessary two-site gates is implemented.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.19597 [2] arXiv https://arxiv.org/abs/2410.19597 [3] Publisher https://arxiv.org/abs/2410.19597

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