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Quantum Simulation

Quantum imaginary time evolution and UD-MIS problem

arXiv

Authors: Victor A. Penas, Marcelo Losada, Pedro W. Lamberti

Year

2024

Paper ID

37922

Status

Preprint

Abstract Read

~2 min

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Abstract

In this work we apply a procedure based on the quantum imaginary time evolution method to solve the unit-disk maximum independent set problem. Numerical simulations were performed for instances of 6, 8 and 10-qubits graphs. We have found that the failure probability of the procedure is relatively small and rapidly decreases with the number of shots. In addition, a theoretical upper bound for the failure probability of the procedure was obtained.

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In this work we apply a procedure based on the quantum imaginary time evolution method to solve the unit-disk maximum independent set problem.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.14955 [2] arXiv https://arxiv.org/abs/2410.14955 [3] Publisher https://arxiv.org/abs/2410.14955

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