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Quantum Chemistry

Bethe ansatz on a quantum computer?

arXiv

Authors: Rafael I. Nepomechie

Year

2020

Paper ID

20227

Status

Preprint

Abstract Read

~2 min

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Abstract

We consider the feasibility of studying the anisotropic Heisenberg quantum spin chain with the Variational Quantum Eigensolver (VQE) algorithm, by treating Bethe states as variational states, and Bethe roots as variational parameters. For short chains, we construct exact one-magnon trial states that are functions of the variational parameter, and implement the VQE calculations in Qiskit. However, exact multi-magnon trial states appear to be out out of reach.

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We consider the feasibility of studying the anisotropic Heisenberg quantum spin chain with the Variational Quantum Eigensolver (VQE) algorithm, by treating Bethe states as...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.01609 [2] arXiv https://arxiv.org/abs/2010.01609 [3] Publisher https://arxiv.org/abs/2010.01609

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