WitrynaAbstractThe quantum approximate optimization algorithm (QAOA) is a promising method of solving combinatorial optimization problems using quantum computing. QAOA on … WitrynaQAOA on the MaxCut problem has been studied extensively on graphs with specific structure; however, little is known about the general performance of the algorithm on arbitrary graphs. In this ...

Hybrid QAOA and Genetic Algorithm for Solving Max-Cut Problem

WitrynaUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). Witryna11 paź 2024 · The aim of MaxCut is to maximize the number of edges (yellow lines) in a graph that are “cut” by a given partition of the vertices (blue circles) into two sets (see figure below). Consider a graph with m edges and n vertices. We seek the partition z of the vertices into two sets A and B which maximizes. C ( z) = ∑ α = 1 m C α ( z), iroot android download

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The correlation between number of edges and the metrics computed varies greatly. There is a very strong correlation between the number of edges and \langle C \rangle , which can be seen in Figs. 1 and 2a. This makes intuitive sense for the following reason. Arbitrarily adding edges to a given graph will not … Zobacz więcej For the most part, the diameter of a graph, d, correlates negatively with the QAOA metrics, but the correlation becomes less negative as n increases, which is the reverse of the … Zobacz więcej An automorphism of a graph is a relabeling of vertices that preserves edges and therefore is a type of symmetry. An orbit of a vertex … Zobacz więcej The group size of a graph tends to have high positive correlations with all QAOA properties for small n. However as n increases, the correlations tend to zero. A zero correlation, however, might not indicate that the … Zobacz więcej Since there are so few bipartite graphs compared to non-bipartite for fixed n, looking at the average of each QAOA metric offers more insight into how a graph being bipartite affects the quality of QAOA solution. The … Zobacz więcej Witrynaby performing an exhaustive analysis of how graph structure can impact QAOA on MaxCut problems, which have been the major focus of recent quantum computing … WitrynaQAOA applied to MaxCut . III. LEVEL-1 QAOA FOR MAXCUT In this section, we derive an analytical expression for F for level-1 QAOA for MaxCut on general graph, further-ing the analysis in [1]. In principle, we could similarly derive expressions for higher p, but the workload quickly becomes prohibitive. MaxCut Problem: Given a graph G(V;E) with iroot chip