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https://doi.org/10.1103/physre...
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Quantum imaginary time evolution and the unit-disk maximum independent set problem

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2025 Argentina English Publisher:American Physical Society (APS)Journal:Physical Review A, volume 111 (issn: 2469-9926, eissn: 2469-9934, Copyright policy )
Authors: Victor A. Penas; Marcelo Losada; Pedro W. Lamberti;

doi: 10.1103/physreva.111.042403

handle: 11336/271965

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

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.

Fil: Penas, Victor Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina

Fil: Losada, Marcelo Adrián. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina

Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina

Country
Argentina
Related Organizations
Keywords

Quantum computation, https://purl.org/becyt/ford/1.3, Quantum algorithms & computation, Quantum simulation, https://purl.org/becyt/ford/1, Optimization problems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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