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arXiv · 2410.14955

Quantum imaginary time evolution and UD-MIS problem

Victor A. Penas·Marcelo Losada·Pedro W. Lamberti
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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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Victor A. Penas, Marcelo Losada, Pedro W. Lamberti. 2024-10-19. Quantum imaginary time evolution and UD-MIS problem. https://doi.org/10.1103/physreva.111.042403

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