Fig. 4: Experimental results comparing the prediction accuracy for p2 and p3 between the BM-enhanced FSRM and CS schemes. | npj Quantum Information

Fig. 4: Experimental results comparing the prediction accuracy for p2 and p3 between the BM-enhanced FSRM and CS schemes.

From: Few-shot estimation of entanglement with Bell measurement assistance

Fig. 4: Experimental results comparing the prediction accuracy for p2 and p3 between the BM-enhanced FSRM and CS schemes.

The red dashed line indicates the true value, while the solid lines represent 10 independent experimental trials. The figures demonstrate how the estimates stabilize as more experimental data are incorporated, where N denotes the total number of collected photon pairs. A and B show the estimation of p2 using the BM-enhanced FSRM method, while panel C shows the estimation of p2 using the CS method. D and E depict the estimation of p3 using the BM-enhanced FSRM method, with F showing the estimation of p3 using the CS method. For the BM-enhanced FSRM method, p2 is estimated using 2-shot outcomes per unitary, such that N = NU × 2, where NU is the number of unitaries applied. p3 is estimated using 3 measurement outcomes per unitary (N = NU × 3). In the estimation of p3, an additional error mitigation technique is applied to correct errors induced by imperfect CNOT gate for the fixed Bell measurement. Each experiment is independently repeated ten times, represented by different lines. For CS, only one shot per unitary is required for prediction. By comparing the results, we observe that although both schemes utilize the same dataset from the experiment, BM-enhanced FSRM shows convergence to the true values, while the CS scheme exhibits bias in practice.

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