Fig. 5 | Scientific Reports

Fig. 5

From: A quantum approximate optimization method for finding Hadamard matrices

Fig. 5

Experimental results for a problem Hamiltonian with uniform k-body interactions but non-uniform coefficients: (a) The distribution of solutions for a single layer shows that while the correct solution has a high probability, other incorrect solutions also exhibit significantly high probabilities. (b) After increasing the layer number to 32, the distribution of solutions improves, with correct solutions now holding the highest probability. (c) The error curve indicates a decreasing error value as the iteration number increases. (d) The performance table by the number of layers demonstrates that increasing the layer count generally enhances xRAR performance and reduces errors; however, there are instances where performance may decrease.

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