Table 1. The summary of the mutual information quantification from incomplete measurements consisting of one-fourth of all possible Pauli projectors in each case.
The MaxLik and the measurement-specific DNNs are compared up to five-qubit quantum systems. The ratio of the mean absolute errors (MAEs) of the methods shows an increasing improvement in the performance of the DNN approach for entanglement quantification in higher-dimensional systems.
| Number of qubits | MAE | Ratio of MaxLik and DNN MAEs | |
|---|---|---|---|
| MaxLik | DNN | ||
| 2 | 0.20 ± 0.16 | 0.09 ± 0.09 | 2.2 |
| 3 | 0.068 ± 0.055 | 0.023 ± 0.020 | 3.0 |
| 4 | 0.019 ± 0.014 | 0.005 ± 0.001 | 3.8 |
| 5 | 0.039 ± 0.032 | 0.009 ± 0.001 | 4.3 |