Table 1 The average approximation ratio (A.R.) for a collection of one-hundred 3-regular graphs with fifty vertices, one-hundred 3-regular graphs with 100 vertices, fifty modified \(G_{50,0.08}\) random graphs, and fifty modified \(G_{100,0.035}\) random graphs.

From: Multi-angle quantum approximate optimization algorithm

Graph type

Average A.R. for 1-QAOA

Average A.R. for ma-QAOA

Change in A.R.

Percent change in gap (1-AR)

50 vertex 3-regular

0.7617

0.8123

0.0506

21.26%

100 vertex 3-regular

0.7562

0.8000

0.0438

17.98%

Modified \(G_{50,0.08}\)

0.7554

0.8156

0.0602

24.65%

Modified \(G_{100,0.035}\)

0.7497

0.8098

0.0602

24.04%