Veszeli, Máté and Vattay, Gábor (2022) Mean field approximation for solving QUBO problems. PLOS ONE, 17 (8). ISSN 1932-6203
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Abstract
The Quadratic Unconstrained Binary Optimization (QUBO) problem is NP-hard. Some exact methods like the Branch-and-Bound algorithm are suitable for small problems. Some approximations like stochastic simulated annealing for discrete variables or mean-field annealing for continuous variables exist for larger ones, and quantum computers based on the quantum adiabatic annealing principle have also been developed. Here we show that the mean-field approximation of the quantum adiabatic annealing leads to equations similar to those of thermal mean-field annealing. However, a new type of sigmoid function replaces the thermal one. The new mean-field quantum adiabatic annealing can replicate the best-known cut values on some of the popular benchmark Maximum Cut problems.
Item Type: | Article |
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Subjects: | Q Science / természettudomány > QC Physics / fizika |
SWORD Depositor: | MTMT SWORD |
Depositing User: | MTMT SWORD |
Date Deposited: | 25 Nov 2022 10:27 |
Last Modified: | 25 Nov 2022 10:27 |
URI: | http://real.mtak.hu/id/eprint/153955 |
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