Quantum imaginary time evolution and the unit-disk maximum independent set problem

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 are performed for instances of six-, eight-, and ten-qubit graphs. We find 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 is obtained.

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2025-04-01
DOI
https://doi.org/10.1103/physreva.111.042403
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
0.00

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article

Quantum imaginary time evolution and the unit-disk maximum independent set problem

Marcelo Losada, Víctor A. Penas, Pedro W. Lamberti
Physical review. A/Physical review, A
Quantum Computing Algorithms and Architecture
article

Quantum imaginary time evolution and the unit-disk maximum independent set problem

Marcelo Losada, Víctor A. Penas, Pedro W. Lamberti
article en

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 are performed for instances of six-, eight-, and ten-qubit graphs. We find 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 is obtained.

Physical review. A/Physical review, AVol. 111(4)
Universidad Nacional de Córdoba (AR), Centro Científico Tecnológico - Tucumán (AR)
Consejo Nacional de Investigaciones Científicas y Técnicas
Reduced inequalities
Openalex Percentile: Top 97%
Quantum Computing Algorithms and Architecture
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